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Julian was calculating the area of a rectangular garden that was feet wide and feet long. He wrote down the product , when he remembered that he could use the Distributive Property to make this calculation easier. He rewrote his product as . Homework Help ✎

  1. Finish Julian's calculation. Did the Distributive Property make his calculation easier? Why or why not?

    Remember your multiplication rules and the order of operations! Terms are separated by addition symbols (+) and you should simplify those terms first, before adding.

    . The area of the garden is squared feet. Do you think the Distributive Property made this problem easier to solve?

  2. Now use the Distributive Property to calculate each of the following products.

    Having trouble using the Distributive Property? This property states that when we multiply a sum by a number, we need to multiply each part of the sum by that number. Remember, it often useful to separate the number by place value.

    In part (i), we can separate the sum () by place value (tens and ones). For example, . Now fill in the expression: