Question

Use the distributive property to evaluate the following expression:

$6\left(99\right)$

Short answer

The value of the expression is: $6\left(99\right)=594$.

Step-by-step solution

– Given information.

The given expression is:

$6\left(99\right)$

– Write the concept.

The distributive property is:

$a\left(b\pm c\right)=ab\pm ac$

– Evaluate the expression.

The expression can be solved as:

$\begin{array}{l}6\left(99\right)=6(100-1)\text{(Rewrite99as100}-1\text{)}\\ 6\left(99\right)=6\left(100\right)-6\left(1\right)\text{(Usedistributiveproperty)}\\ 6\left(99\right)=600-6\text{(Multiplied}6\left(100\right)\text{and}6\left(1\right)\text{)}\\ 6\left(99\right)=594\text{(Subtracted6from600)}\end{array}$