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

The given equation

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

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 left side:

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

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

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

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

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

\$ 35 = y \times 5\$

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

\$ 35/5 = y \$

\$ 7 = y \$

So, the value of the variable y is 7.

This choice is incorrect. 4 does not fit, as 4 times 20 does not equal 140

4

This option is correct, as explained above

7

This choice is wrong. 140 is the result of 7 × 20, but it’s not a value for

140

This option is incorrect as it doesn’t relate to any part of the calculation in the problem

151

Option

B

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