1

Problem

Use the Associative Property of Multiplication to find the value of variable
\$ 3 \times (6 \times 4)=(3 \times 6) \times p \$

2

Step

The given equation

\$ 3 \times (6 \times 4) = (3 \times 6) \times p \$

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 simplify the equation on the left side:

\$ 3 \times (6 \times 4) = 3 times 24 = 72 \$

6

Step

Now simplify the equation inside the parenthesis on the right side:

\$ (3 \times 6) \times p = 18 \times p \$

7

Step

Now, let’s equate it to the equation:

\$ 72 = 18 \times p \$

8

Step

Finally, to find the value of p, we divide both sides by 18:

\$ 72/18 = p \$

\$ 4 = p \$

9

Solution

Therefore, the value of the variable p is 4.

10

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

11

Choice-A

This step is incorrect because After simplification we got p = 4

Wrong 3

12

Choice-B

This step is incorrect because After simplification we got p = 4

Wrong 72

13

Choice-C

This step is correct because After simplification we got p = 4

Correct 4

14

Choice-D

This step is incorrect because After simplification we got p = 4

Wrong 6

15

Step

Option

C

16

Sumup

Please Summarize Choices