Question

Use the distributive property to evaluate the expression.

$8\left(4.95\right)$

Short answer

Value of given expression is $39.6$.

Step-by-step solution

Step 1.  Concept of Distributive property of multiplication

According to the distributive property of multiplication, whenwe multiply a number with thesum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number

$A\times \left(B+C\right)=AB+AC$

Step 2. Evaluating given expressions

$8\left(4.95\right)$

On expanding given expression, it gives,

$8\left(4.95\right)=8\left(5-0.05\right)$.

Using Distributive property of multiplication,

$\begin{array}{c}8\left(4.95\right)=8\left(5\right)-8\left(0.05\right)\\ 8\left(4.95\right)=40-0.4\\ 8\left(4.95\right)=39.6\end{array}$

Step 3. Conclusion

Therefore, the value of given expression is $39.6$.