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

The given equation

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

Associative property of multiplication

\$ a times (b times c) = (a times b) times c \$

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

Now simplify the equation on the left side:

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

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

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

Now, let’s equate it to the equation:

\$ 72 = 18 \times p \$

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

\$ 72/18 = p \$

\$ 4 = p \$

Therefore, the value of the variable p is 4.

If p = 3, then the right side would be 18 × 3 = 54, which does not match the left side (72)

3

This is the value of the left side of the equation, not the value of p

72

This is the correct answer. It represents the value of p that makes both sides of the equation equal

4

If p = 61, then 18 × 61 would be way higher than 72

61

Option

C

Can you summarize what you’ve understood in the above steps?