1

Problem

Use the Associative Property of Multiplication to find the value of variable
\$ 2 \times (4 \times x)=(2 \times 4)\times 3 \$

2

Step

The given equation

\$ 2 \times (4 \times x) = (2 \times 4) \times 3 \$

3

Formula

Associative property of multiplication: \$ a times (b times c) = (a times b) times c \$.

4

Hint

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

5

Step

Now first simplify the equation on the right side:

\$ (2 \times 4) \times 3 = 8 times 3 = 24 \$

6

Step

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

\$ 2 \times (4 \times x) = 24 \$

7

Step

To isolate x, we’ll divide both sides by 2:

\$ 4 \times x = 24/2\$

\$ 4 \times x = 12\$

8

Step

Finally, to find the value of x, we divide both sides by 4:

\$ x = 12/4 \$

\$ x = 3 \$

9

Solution

So, the value of the variable x is 3.

10

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

11

Choice-A

This step is correct because After simplification we got x = 3

Correct 3

12

Choice-B

This step is incorrect because After simplification we got x = 3

Wrong 4

13

Choice-C

This step is incorrect because After simplification we got x = 3

Wrong 24

14

Choice-D

This step is incorrect because After simplification we got x = 3

Wrong 2

15

Step

Option

A

16

Sumup

Please Summarize Choices