Question

Use the distributive property to evaluate the expression.

$5 (9-3)$

Short answer

$5 (9 - 3 ) = 30$.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Distributive Property of Multiplication 

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{-} \text{c} \text{)} = \text{a} · \text{b} - \text{a} · \text{c}$

Example: $8 \text{(12} - \text{4} \text{)} = \text{8} · \text{12} - \text{8} · \text{4} = 96 - 32 = 64$

Step-3:  Use the distributive property to evaluate the expression.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{-} \text{c} \text{)} = \text{a} · \text{b} - \text{a} · \text{c}$

$\begin{array}{l}5(9-3)=5·9-5·3=45-15=30\\ 5(9-3)=30\end{array}$