Question

Use the associative property of multiplication to rewrite the given expression so that the expression can be simplified

Answer 1

Step 1

State the associative property of multiplication.

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

where

$\begin{gathered} a=\frac{1}{3} \\ b=24 \\ c=x \end{gathered}$

Step 2

Use the property and simplify the expression

$(\frac{1}{3}\times24)\times x=\frac{1}{3}\times(24\text{ }\times x)$$\begin{gathered} (\frac{24}{3})\times x=\frac{1}{3}\times(24x) \\ 8x=\frac{24x}{3} \\ 8x=8x \end{gathered}$

Hence the simplified form of the expression using the stated property = 8x