1

Problem

Use the Associative Property of Multiplication to find the value of variable
\$ 7 \times (5 \times 4)=(x \times 5)\times 4 \$

2

Step

The given equation

\$ 7 \times (5 \times 4) = (y \times 5) \times 4 \$

3

Hint

The Associative Property states that changing the grouping of factors in a multiplication equation does not change the product.

4

Step

Now first simplify the equation on the left side:

\$ 7 times (5 times 4) = 7 times 20 = 140 \$

5

Step

Now, let’s equate it to the equation on the right side:

\$ 140 = (y \times 5) \times 4 \$

6

Step

To isolate y, we’ll divide both sides by 4:

\$ 140/4 = y \times 5\$

\$ 35 = y \times 5\$

7

Step

Finally, to find the value of y, we divide both sides by 5:

\$ 35/5 = y \$

\$ 7 = y \$

8

Solution

So, the value of the variable y is 7.

9

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

10

Choice-A

This step is incorrect because After simplification we got x = 7

Wrong 4

11

Choice-B

This step is correct because After simplification we got x = 7

Correct 7

12

Choice-C

This step is incorrect because After simplification we got x = 7

Wrong 140

13

Choice-D

This step is incorrect because After simplification we got x = 7

Wrong 5

14

Step

Option

B

15

Sumup

Please Summarize Choices