Q54. - Algebra 2

Question

Find the value of each expression.

 

$\frac{\mathbf{1}}{\mathbf{2}}\left(\mathbf{34}\right)$

Step-by-Step Solution

Answer

The value of $\frac{1}{2}\left(34\right)$ is $\mathbf{17}$.

Step 1 – Description of step.

Write $34$ as $2·17$ into $\frac{1}{2}\left(34\right)$.

 $\frac{1}{2}\left(2·17\right)$

Step 2 – Associative property of multiplication.

For any real numbers $p,q$ and $r$, $p·\left(q·r\right)=\left(p·q\right)·r$.

Step 3 – Apply associative property of multiplication.

Apply associative property of multiplication to the expression in step 1.

$\left(\frac{1}{2}·2\right)·17$

Step 4 - Inverse property.

For any real number $p$, if $p\ne 0$, then $p·\frac{1}{p}=1=\frac{1}{p}·p$.

Step 5 – Apply inverse property.

Apply inverse property to the expression in step 3 and simplify.

$1·17=17$

Therefore, the value of $\frac{1}{2}\left(34\right)$ is $17$.