Question

Which of the following correctly uses the distributive property to simplify the expression 5( 3/5 +2)

A. 5(5)=25
B. 5( 3/5 )+2=5
C. 5( 3/5 )+5(2)=13
D. 5( 1/5 )+5(2)=15

Answer 1

The correct use of the distributive property to simplify the expression 5 (3/5 + 2) is shown in option C, where the number 5 is distributed and multiplied with each term inside the parenthesis, resulting in a sum of 13.

Step-by-step explanation:

The correct option that uses the distributive property to simplify the expression 5 (3/5 + 2) is C. To apply the distributive property, we need to multiply the number outside the parenthesis (which is 5 in this case) by each term inside the parenthesis and then sum up the results. Here's how it's done:

5 (3/5) + 5 (2)

= (5 × 3/5) + (5 × 2)

= 3 + 10

= 13

Therefore, option C is correct: 5 (3/5) + 5 (2) = 13.