prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 35248.36376 rounded to 10 significant figures?
A. 35248.36376
B. 35248.3637600000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 350426.4584986 written to 9 significant figures?
A. 350426.458498600
B. 350426.458
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 92583.44 to 1 significant figure?
A. 90000
B. 92583.4
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 25244150.99542340 to 8 significant figures?
A. 25244151
B. 25244150.99542340
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 925.7964606 to 4 significant figures?
A. 925.7965
B. 925.8
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 387.04194 written to 7 significant figures?
A. 387.0419400
B. 387.0419
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 1708823.5 rounded to 6 significant figures?
A. 1708820
B. 1708823.500000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 415567.588736 to 3 significant figures.
A. 415567.589
B. 416000
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 32.683 rounded to 1 significant figure?
A. 32.7
B. 30
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 851877.5 reported to 3 significant figures?
A. 852000
B. 851877.500
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 4.794 to 1 significant figure.
A. 4.8
B. 5
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 70.066 to 4 significant figures.
A. 70.07
B. 70.0660
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 40.74666111 to 4 significant figures.
A. 40.7467
B. 40.75
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 24668.004539768 to 2 significant figures?
A. 24668.00
B. 25000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 20619459.17058 to 10 significant figures?
A. 20619459.17
B. 20619459.1705800000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 7.0 to 2 significant figures?
A. 7.0
B. 7.00
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 690.750317 to 6 significant figures?
A. 690.750317
B. 690.750
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 39.0784633 written to 4 significant figures?
A. 39.0785
B. 39.08
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please round 3491591.80 to 9 significant figures.
A. 3491591.800000000
B. 3491591.80
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 2942345.730597829 to 15 significant figures?
A. 2942345.730597829000000
B. 2942345.73059783
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 770589971.39127582 rounded to 14 significant figures?
A. 770589971.39128
B. 770589971.39127582000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 529380.576148 to 7 significant figures.
A. 529380.5761480
B. 529380.6
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 236812.44 expressed to 1 significant figure?
A. 236812.4
B. 200000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 62714884.349300 to 7 significant figures?
A. 62714884.3493000
B. 62714880
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 89268474.85 to 2 significant figures.
A. 89268474.85
B. 89000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 867717.5531080 to 8 significant figures.
A. 867717.55310800
B. 867717.55
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 162083167.352677 to 8 significant figures?
A. 162083167.35267700
B. 162083170
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 927112.9 to 4 significant figures.
A. 927100
B. 927112.9000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 813065.845892 to 12 significant figures?
A. 813065.845892
B. 813065.845892000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 395633.5559483 expressed to 7 significant figures?
A. 395633.6
B. 395633.5559483
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 13.47119314 to 6 significant figures.
A. 13.4712
B. 13.471193
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 6179809.7396668 to 2 significant figures.
A. 6200000
B. 6179809.74
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 117332.46912550 to 4 significant figures?
A. 117332.4691
B. 117300
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 7457710.580028 to 9 significant figures.
A. 7457710.58
B. 7457710.580028000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you report 38411.45650224 to 11 significant figures?
A. 38411.45650224000
B. 38411.456502
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 81233083.293940801 reported to 9 significant figures?
A. 81233083.3
B. 81233083.293940801
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 611016240.6 to 5 significant figures.
A. 611016240.60000
B. 611020000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 5308886.51407042 to 10 significant figures.
A. 5308886.5140704200
B. 5308886.514
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 5165052.37 to 2 significant figures?
A. 5165052.37
B. 5200000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please round 574497.02275 to 2 significant figures.
A. 574497.02
B. 570000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 97825477.509 to 9 significant figures?
A. 97825477.509000000
B. 97825477.5
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 821602.680773535 to 9 significant figures?
A. 821602.681
B. 821602.680773535
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 55.92 to 1 significant figure.
A. 60
B. 55.9
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 537862918.33062847 to 10 significant figures?
A. 537862918.3
B. 537862918.3306284700
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 8.3735 to 5 significant figures.
A. 8.37350
B. 8.3735
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 8.8256 to 3 significant figures.
A. 8.826
B. 8.83
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 53903496.646032 reported to 1 significant figure?
A. 50000000
B. 53903496.6
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 324408221.0039185 to 6 significant figures?
A. 324408221.003918
B. 324408000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 34638.23 rounded to 6 significant figures?
A. 34638.2
B. 34638.230000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 104449.155 to 9 significant figures.
A. 104449.155000000
B. 104449.155
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 913.34 to 5 significant figures.
A. 913.34000
B. 913.34
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please round 1.283591 to 5 significant figures.
A. 1.2836
B. 1.28359
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Report 82.79564242 to 1 significant figure.
A. 80
B. 82.8
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 45.273097 rounded to 8 significant figures?
A. 45.27309700
B. 45.273097
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 516347.75 reported to 6 significant figures?
A. 516347.750000
B. 516348
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 5166524.5058 to 9 significant figures?
A. 5166524.505800000
B. 5166524.51
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 97.0 to 3 significant figures.
A. 97.0
B. 97.000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 8022.25 to 6 significant figures.
A. 8022.250000
B. 8022.25
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 34406821.266212 to 2 significant figures.
A. 34406821.27
B. 34000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you report 3543.791225945 to 2 significant figures?
A. 3500
B. 3543.79
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 6.9 rounded to 2 significant figures?
A. 6.9
B. 6.90
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 92354636.4794 to 11 significant figures.
A. 92354636.47940000000
B. 92354636.479
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Report 4.289 to 3 significant figures.
A. 4.289
B. 4.29
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 710391.303 expressed to 4 significant figures?
A. 710391.3030
B. 710400
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 1.18174887 to 6 significant figures.
A. 1.18175
B. 1.181749
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 1117.7206 to 5 significant figures?
A. 1117.72060
B. 1117.7
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 6176.916909 to 8 significant figures.
A. 6176.9169
B. 6176.91690900
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Report 7312.03006 to 4 significant figures.
A. 7312.0301
B. 7312
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 40623.1 to 5 significant figures.
A. 40623
B. 40623.10000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 4.4009376 expressed to 8 significant figures?
A. 4.4009376
B. 4.40093760
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 84.522675106 to 1 significant figure.
A. 84.5
B. 80
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 522452832.667775 to 10 significant figures?
A. 522452832.6677750000
B. 522452832.7
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 761269.26988 to 1 significant figure?
A. 761269.3
B. 800000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 61681.2569 rounded to 5 significant figures?
A. 61681
B. 61681.25690
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 2213.092370361 expressed to 4 significant figures?
A. 2213
B. 2213.0924
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 605748.33863 to 2 significant figures?
A. 610000
B. 605748.34
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 70.794 to 2 significant figures.
A. 70.79
B. 71
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 696109.122053401 to 8 significant figures?
A. 696109.12205340
B. 696109.12
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 5.1 to 2 significant figures?
A. 5.10
B. 5.1
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 68.291 to 3 significant figures.
A. 68.3
B. 68.291
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 830406.09325431 to 1 significant figure.
A. 800000
B. 830406.1
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 79294627.7653 to 6 significant figures.
A. 79294600
B. 79294627.765300
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 146679.792728 expressed to 4 significant figures?
A. 146700
B. 146679.7927
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 4503.9733 to 6 significant figures.
A. 4503.973300
B. 4503.97
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 43.77750381 to 1 significant figure?
A. 40
B. 43.8
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 1257933.305164610 to 10 significant figures?
A. 1257933.305
B. 1257933.3051646100
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 28244.254410913 to 12 significant figures.
A. 28244.254410913000
B. 28244.2544109
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 44160.7263 to 3 significant figures?
A. 44200
B. 44160.726
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 98070.7 to 3 significant figures.
A. 98070.700
B. 98100
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 48535.0516177 reported to 7 significant figures?
A. 48535.0516177
B. 48535.05
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 2834.5 rounded to 4 significant figures?
A. 2834
B. 2834.5000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you report 1.4 to 2 significant figures?
A. 1.4
B. 1.40
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 3864.679602849 written to 2 significant figures?
A. 3864.68
B. 3900
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 2738.5 rounded to 1 significant figure?
A. 2738.5
B. 3000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 915152.4591983 written to 3 significant figures?
A. 915000
B. 915152.459
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 7562718.771031580 to 1 significant figure.
A. 8000000
B. 7562718.8
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 78378156.009139909 to 3 significant figures.
A. 78378156.009
B. 78400000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please round 12818.787 to 3 significant figures.
A. 12800
B. 12818.787
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 998611.25956520 rounded to 5 significant figures?
A. 998610
B. 998611.25957
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 467886.01 to 1 significant figure.
A. 500000
B. 467886.0
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 6.21 to 3 significant figures.
A. 6.210
B. 6.21
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 7420.4516 rounded to 6 significant figures?
A. 7420.45
B. 7420.451600
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 573437150.364755339 to 1 significant figure.
A. 600000000
B. 573437150.4
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 44.2032 to 6 significant figures.
A. 44.2032
B. 44.203200
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Report 8010188.7524661 to 12 significant figures.
A. 8010188.75247
B. 8010188.752466100000
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 566.34 to 1 significant figure.
A. 600
B. 566.3
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 258123.83996 written to 8 significant figures?
A. 258123.83996000
B. 258123.84
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 239030.2760343 to 12 significant figures.
A. 239030.276034300000
B. 239030.276034
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 2744.058030 expressed to 7 significant figures?
A. 2744.0580300
B. 2744.058
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 9046107.889 reported to 7 significant figures?
A. 9046107.8890000
B. 9046108
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 7432.8 written to 3 significant figures?
A. 7432.800
B. 7430
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 9.934291017 to 4 significant figures?
A. 9.934
B. 9.9343
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 2117.52 to 4 significant figures.
A. 2117.5200
B. 2118
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Express 14562.9758 to 6 significant figures.
A. 14562.975800
B. 14563.0
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 918848.3452530 to 1 significant figure?
A. 900000
B. 918848.3
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 2985.798 to 3 significant figures.
A. 2990
B. 2985.798
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 2122.01464 to 7 significant figures.
A. 2122.0146400
B. 2122.015
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 9083209.6841 to 9 significant figures.
A. 9083209.684100000
B. 9083209.68
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 971.583369159 to 7 significant figures.
A. 971.5834
B. 971.5833692
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 37559.8 to 3 significant figures?
A. 37559.800
B. 37600
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please express 98906.14191 to 7 significant figures.
A. 98906.1419100
B. 98906.14
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 792.31087 expressed to 8 significant figures?
A. 792.31087
B. 792.31087000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 6492.0767153 to 2 significant figures?
A. 6492.08
B. 6500
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 237.175511680 written to 3 significant figures?
A. 237.176
B. 237
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 27707426.0 to 9 significant figures.
A. 27707426.0
B. 27707426.000000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 34.78 rounded to 4 significant figures?
A. 34.7800
B. 34.78
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 78914669.22021282 to 13 significant figures?
A. 78914669.2202128200000
B. 78914669.22021
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you express 9485604.88556678 to 14 significant figures?
A. 9485604.8855668
B. 9485604.88556678000000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you report 770978.324 to 8 significant figures?
A. 770978.32
B. 770978.32400000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 4.639783817 to 9 significant figures.
A. 4.639783817
B. 4.63978382
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 1.0023 to 2 significant figures?
A. 1.0
B. 1.00
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Round 7883393.4245 to 9 significant figures.
A. 7883393.42
B. 7883393.424500000
Answer:


prompt:
Note that 'significant figure' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 51.610750 to 1 significant figure?
A. 50
B. 51.6
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 18.5646537 reported to 9 significant figures?
A. 18.564653700
B. 18.5646537
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please write 842424163.12899227 to 7 significant figures.
A. 842424163.1289923
B. 842424200
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Please report 634632.46947 to 10 significant figures.
A. 634632.4695
B. 634632.4694700000
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

Write 924.406649962 to 4 significant figures.
A. 924.4066
B. 924.4
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 721736528.99504502 rounded to 9 significant figures?
A. 721736529
B. 721736528.995045020
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 45406.7 expressed to 4 significant figures?
A. 45406.7000
B. 45410
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

What is 80.67658800 rounded to 3 significant figures?
A. 80.677
B. 80.7
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you round 8520.179910299 to 2 significant figures?
A. 8500
B. 8520.18
Answer:


prompt:
Note that 'significant figures' are different than 'decimal places'. Assuming that a number is reported properly with respect to its measurement resolution, the basic rules are that non-zero digits are always significant, zeroes before the first nonzero digit are never significant, zeroes after the last nonzero digit are significant if there is a decimal in the number (but usually not if there isn't a decimal), and zeroes inbetween the first and last nonzero digits are always significant.

How would you write 31.339201900 to 11 significant figures?
A. 31.339201900
B. 31.33920190000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A rangefinder with a precision of +/- 0.0001 meters measures a distance of 0.4683 meters and a coincidence telemeter with a precision of +/- 4 meters reads 525 meters when measuring a distance between two different points. Using a calculator, you multiply the values and get the solution 245.857500000000. If we express this solution appropriately with respect to the number of significant figures, what is the answer?
A. 245 meters^2
B. 246 meters^2
C. 245.858 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 89.2 meters and a coincidence telemeter with a precision of +/- 0.2 meters measures a distance between two different points as 83.6 meters. Using a calculator app, you multiply the numbers and get the output 7457.120000000000. If we report this output to the correct level of precision, what is the answer?
A. 7457.1 meters^2
B. 7457.120 meters^2
C. 7460 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A rangefinder with a precision of +/- 40 meters measures a distance of 880 meters and a measuring tape with a precision of +/- 0.03 meters reads 0.68 meters when measuring a distance between two different points. Using a computer, you divide the two numbers and get the solution 1294.117647058824. How would this answer look if we rounded it with the suitable number of significant figures?
A. 1300
B. 1294.12
C. 1290
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A stadimeter with a precision of +/- 200 meters measures a distance of 77700 meters and a caliper with a precision of +/- 0.01 meters reads 35.34 meters when measuring a distance between two different points. Using a calculator, you multiply the numbers and get the output 2745918.000000000000. Using the proper number of significant figures, what is the answer?
A. 2745900 meters^2
B. 2745918.000 meters^2
C. 2750000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A rangefinder with a precision of +/- 2 meters measures a distance of 551 meters and a Biltmore stick with a precision of +/- 0.2 meters reads 8.4 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator yields the output 4628.400000000000. Using the proper level of precision, what is the result?
A. 4600 meters^2
B. 4628 meters^2
C. 4628.40 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A biltmore stick with a precision of +/- 0.04 meters measures a distance of 81.52 meters and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 720 meters. Using a calculator app, you multiply the two numbers and get the solution 58694.400000000000. When this solution is written to the suitable number of significant figures, what do we get?
A. 58690 meters^2
B. 59000 meters^2
C. 58694.40 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring stick with a precision of +/- 0.1 meters measures a distance of 945.3 meters and an analytical balance with a precision of +/- 0.1 grams measures a mass as 718.4 grams. You divide the first value by the second value with a calculator and get the output 1.315840757238. If we report this output to the appropriate number of significant figures, what is the result?
A. 1.3 meters/gram
B. 1.3158 meters/gram
C. 1.316 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.7305 seconds, and a timer with a precision of +/- 0.001 seconds reads 0.013 seconds when measuring a duration of a different event. After multiplying the first value by the second value your computer gets the solution 0.009496500000. How can we round this solution to the appropriate level of precision?
A. 0.01 seconds^2
B. 0.009 seconds^2
C. 0.0095 seconds^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A balance with a precision of +/- 2 grams takes a measurement of 4919 grams, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 0.06 liters. After dividing the numbers your calculator app gives the solution 81983.333333333333. Using the correct level of precision, what is the answer?
A. 81983 grams/liter
B. 80000 grams/liter
C. 81983.3 grams/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A coincidence telemeter with a precision of +/- 4 meters measures a distance of 759 meters and a rangefinder with a precision of +/- 0.001 meters reads 1.085 meters when measuring a distance between two different points. You multiply the two numbers with a calculator and get the solution 823.515000000000. Using the appropriate level of precision, what is the result?
A. 823 meters^2
B. 823.515 meters^2
C. 824 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A ruler with a precision of +/- 0.01 meters measures a distance of 26.46 meters and a measuring rod with a precision of +/- 0.002 meters reads 2.760 meters when measuring a distance between two different points. Your calculator app gives the output 9.586956521739 when dividing the numbers. When this output is reported to the suitable level of precision, what do we get?
A. 9.587
B. 9.5870
C. 9.59
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.3 meters measures a distance of 96.8 meters and an opisometer with a precision of +/- 3 meters measures a distance between two different points as 1 meters. You divide the former value by the latter with a calculator app and get the output 96.800000000000. How can we report this output to the right number of significant figures?
A. 100
B. 96
C. 96.8
Answer: