This can be determined by your teacher if you're working on a math problem, or you can figure it out based on the context and the sets of numbers you're using. For example when rounding money, you'd most likely want to round to the nearest hundredth, or the nearest cent. When rounding off a weight, round to the nearest pound.  The less precise number required, the more you can round (to higher place values). More precise numbers should be rounded to lesser place values. If you're working with the number 10.7659, let's say you've decided to round the number to the thousandth digit, which is the 5 digit in the thousandths place, the third digit to the right of the decimal point. You can also think of this as rounding the number to five significant digits. So, focus on the digit 5 for now. Just look one digit to the right. In this case, you'll find a 9 next to the 5 digit. This number will determine whether you will round the 5 digit up or down. This is called rounding up because the number you were rounding to becomes greater than the original number. Your original digit, 5, becomes a 6. All of the numbers to the left of the original 5 will remain the same, and the numbers to the right of it will disappear (you can think of them as becoming zeroes). So, if you're rounding the number 10.7659 to the 5 digit, it would be rounded up to a 6, making the number 10.766.  Though 5 is in the middle of the numbers 1-9, it is generally agreed that the digit 5 will require a number before it to be rounded up. This may not apply to your teachers when they submit final grades, though!  Standard bodies like the NIST adopt a different method: When the rounding digit is 5, look at the digits to the right of it. If any subsequent digit is different from 0, round up. If all subsequent digits are 0 or there are no more digits, then round up if the rounding digit is odd and round down if the rounding digit is even. If the number to the right of your rounding place value digit is less than 5, the rounding place value digit will remain the same. Though this process is called rounding down, it just means that the rounding digit remains the same; you should never actually change a digit to a lower number. In this case, if you're working with the number 10.7653, you would round it down to 10.765 because the digit 3 to the right of the 5 is on the low end of the scale.  By keeping it the same and changing all numbers to its right to 0, the final rounded number is less than the original beginning number.  Thus, the number, as a whole, goes down. The above two steps are represented on most desktop calculators as 5/4 rounding. There is usually a slide-switch you can move to the 5/4 rounding position to achieve these results.
حدد مكان القيمة التي ستقرب لها الرقم. حدد القيمة التي ستقرب الرقم لها. انظر للرقم الموجود على يمين الرقم الذي ستقرب عنده. قرب الرقم المراد تقريبه لقيمة أكبر بدرجة إذا كان الرقم الموجود على يمينه أكبر من أو يساوي 5. قرب الرقم المراد تقريبه لقيمة أقل درجة إذا كان الرقم الموجود على يمينه أقل من 5.