Question

Question content area top Part 1 Use the GCF and the Distributive Property to find the sum. Question content area bottom Part 1 Write each number as a product using the GCF as a​ factor, and apply the Distributive Property. 13 left parenthesis 2 plus 7 right parenthesis ​(Use the operation symbols in the math palette as needed. Do not​ simplify.)

Answer 1

We use the Distributive Property to multiply 13 by both 2 and 7 separately.

Since 2 and 7 have no common factor other than 1, we use 1 as the GCF.

The expression 13(2 + 7) results in 13× 2 + 13× 7, which is 117.

Step-by-step explanation:

The question asks us to use the Greatest Common Factor (GCF) and the Distributive Property to find the sum by writing each number as a product using the GCF as a factor.

However, since 2 and 7 do not have a common factor other than 1, we simply use 1 as the GCF for these two numbers.

The given expression is 13(2 + 7).

Using the Distributive Property, we would multiply 13 by each term inside the parentheses.

To use the Distributive Property, we apply it as follows:

13 × 2 = 26

13 × 7 = 91

So the expression using the Distributive Property and the GCF (which is 1 in this case) would be the sum of the two products:

26 + 91

= 117