Question

Use the distributive property to evaluate the expression.

$\left(7.95\right)4$

Short answer

Value of given expression is $31.8$.

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

$\left(7.95\right)4$

On expanding given expression, it gives,

$\left(7.95\right)4=\left(8-0.05\right)4$

Using Distributive property of multiplication,

$\begin{array}{c}\left(7.95\right)4=\left(8\right)4-\left(0.05\right)4\\ \left(7.95\right)4=32-0.2\\ \left(7.95\right)4=31.8\end{array}$

Step 3. Conclusion

Therefore, the value of given expression is $31.8$.