Question

The expression is evaluated at , the associative property of multiplication is applied, and one multiplication is done. Which is the result?

Answer 1

The given expression is:

`(3\cdot x)\cdot5`

Substitute the given value x=-1/5 into the expression:

`(3\cdot-(1)/(5))\cdot5`

Recall that the associative property of multiplication is:

`(a\cdot b)\cdot c=a\cdot(b\cdot c)`

Apply this to the given expression gives:

`(3\cdot-(1)/(5))\cdot5=3\cdot(-(1)/(5)\cdot5)`

Next do the multipication in the parentheses:

`\begin{gathered} 3.(-(1)/(5)\cdot5) \\ =3\cdot(-1) \end{gathered}`

Hence, the correct option is the second option.