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* b)* c=a*(b* c)`

where

`\begin{gathered} a=(1)/(3) \\ b=24 \\ c=x \end{gathered}`

Step 2

Use the property and simplify the expression

`((1)/(3)*24)* x=(1)/(3)*(24\text{ }* x)`
`\begin{gathered} ((24)/(3))* x=(1)/(3)*(24x) \\ 8x=(24x)/(3) \\ 8x=8x \end{gathered}`

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