Question

question 10 of 25
which steps show how to use the distributive property to evaluate (7 cdot 88)?

a. (7(88) = 7(90 - 2) = 7 cdot 90 - 7 cdot 2 = 630 - 14 = 616)

b. (7(88) = 7(90 - 2) = 7 cdot 90 + 7 cdot 2 = 630 + 14 = 644)

c. (7(88) = 7(90 - 2) = 7 cdot 90 - 2 = 630 - 2 = 628)

d. (7(88) = 7(90 - 2) = 7 cdot 90 - 90 cdot 2 = 630 - 180 = 450)

Explanation:

Step1: Recall distributive property

The distributive property states $a(b-c)=a\cdot b - a\cdot c$

Step2: Rewrite 88 as 90-2

$7(88)=7(90-2)$

Step3: Apply distributive property

$7(90-2)=7\cdot90 - 7\cdot2$

Step4: Calculate each product

$7\cdot90=630$, $7\cdot2=14$

Step5: Subtract to get final value

$630-14=616$

Answer:

A. $7(88) = 7(90 - 2) = 7 \cdot 90 - 7 \cdot 2 = 630 - 14 = 616$