Question

Question Help Use the GCF and the Distributive Property to find the sum. 42 + 66 Write each number as a product using the GCF as a factor, and apply the Distributive Property. 42 + 66 = (Use the operation symbols in the math palette as needed. Do not simplify.)​

Answer 1

Answer:

40 plus (2)42 plus 6x11

Step-by-step explanation:

Multiply

Answer 2

Using GCF and Distributive property on the sum of 42 and 66 gives us;

((6 * 7) + (6 * 11) = 6(7 + 11)

      GCF simply means the greatest common factor. Now, to find the GCF of 42 and 66, let us state their factors;

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

       The highest factor common to 42 and 66 is 6. Thus, we can say that the GCF of 42 and 66 is 6.

• We want to add 42 to 66.

42 + 66

The distributive property states that;

a(b + c) = ab + ac

Thus;

Since GCF of 42 and 66 is 6, then we have;

42 + 66 = ((6 * 7) + (6 * 11)

Using distributive property;

((6 * 7) + (6 * 11) = 6(7 + 11)

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