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

Sagot :

The given expression is:

[tex](3\cdot x)\cdot5[/tex]

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

[tex](3\cdot-\frac{1}{5})\cdot5[/tex]

Recall that the associative property of multiplication is:

[tex](a\cdot b)\cdot c=a\cdot(b\cdot c)[/tex]

Apply this to the given expression gives:

[tex](3\cdot-\frac{1}{5})\cdot5=3\cdot(-\frac{1}{5}\cdot5)[/tex]

Next do the multipication in the parentheses:

[tex]\begin{gathered} 3.(-\frac{1}{5}\cdot5) \\ =3\cdot(-1) \end{gathered}[/tex]

Hence, the correct option is the second option.