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

The given equation

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

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 first simplify the equation on the right side:

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

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

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

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

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

\$ 4 \times x = 12\$

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

\$ x = 12/4 \$

\$ x = 3 \$

So, the value of the variable x is 3.

This is the correct answer. It matches the solution we obtained

3

This would require 8 × 44 = 24, which is not true

44

This implies that \$4 times x = 24\$, making x = 6, which would lead to a different result than 24 when applied to the left side

24

If x = 2, then 2 × (4 × 2) = 2 × 8 = 16, which is not equal to 24

2

Option

A

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