Q53. - Algebra 2

Question

Find the value of each expression.

 

53. $\mathbf{6}\left(\mathbf{-}\mathbf{3}\right)$

Step-by-Step Solution

Answer

The value of $6\left(-3\right)$ is $\mathbf{-}\mathbf{18}$.

Step 1 – Description of step.

Write $6$ as $3+3$ into $6\left(-3\right)$.

$\left(3+3\right)\left(-3\right)$

Step 2 – Distributive property.

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

Step 3 – Apply distributive property.

Apply distributive property to the expression in step 1 and simplify.

$\begin{array}{c}3\left(-3\right)+3\left(-3\right)=-9+-9\\ =-18\end{array}$

Therefore, the value of $6\left(-3\right)$ is $-18$.