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22 April, 01:47

Which expression shows the sum (7 + 42) rewritten as a product of the GCF and a sum

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  1. 22 April, 02:17
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    7 (1 + 6)

    Step-by-step explanation:

    Find the GCF of 7 and 42 by listing the factors:

    7: 1, 7

    42: 1, 2, 3, 6, 7, 14

    The numbers in bold show common factors between the numbers. Since 7 is greater than 1, the GCF is 7.

    Now, we need to factor the expression (7 + 42).

    This means that we need to divide the GCF by both numbers. The quotient will give us the numbers that should be inside of the parentheses.

    7/7 = 1

    42/7 = 6

    Next, put the GCF outside of the parentheses:

    7 (? + ?)

    Substitute the question marks with the quotients that we found earlier:

    7 (? + ?)

    7 (1 + 6)

    Therefore, the expression 7 (1 + 6) is the product of the GCF and it is a sum because 1 + 6 are being added together.
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