Question

Use the distributive property to evaluate the expression.

$5\left(309\right)$

Short answer

Value of given expression is $1545$

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

$5\left(309\right)$

On expanding given expression, it gives,

$5\left(309\right)=5\left(300+9\right)$.

Using Distributive property of multiplication,

$\begin{array}{c}5\left(309\right)=5\left(300\right)+5\left(9\right)\\ 5\left(309\right)=1500+45\\ 5\left(309\right)=1545\end{array}$

Step 3. Conclusion

Therefore, the value of given expression is $1545$.