Question

Use the distributive property to evaluate the expression.

$3\left(106\right)$

Short answer

Value of given expression is $318$.

Step-by-step solution

Step-1- Concept of Distributive property of multiplication

According to the distributive property of multiplication, whenwe multiply a number with the sum 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

$3\left(106\right)$

Using Distributive property of multiplication, the above expression can be written as

$\begin{array}{c}3\left(106\right)=3(100+6)\\ 3\left(106\right)=3\left(100\right)+3\left(6\right)\\ 3\left(106\right)=300+18\\ 3\left(106\right)=318\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $318$.