Question

Use the distributive property to evaluate the following expression:9 x (4 + 9). Show your work in your answer.I don't understand how distributive property works. Please help :)

Answer 1

Given:

$9\times(4+9)$

By distributive property

$a(b+c)=ab+bc$

Hence, to solve the given expression multiply the terms in the bracket by 9

This implies

$9\times(4+9)=9\times4+9\times9$

Simplify further to get

$\begin{gathered} 9\times(4+9)=9\times4+9\times9 \\ 9\times(4+9)=36+81 \\ 9\times(4+9)=117 \end{gathered}$

Therefore, the answer is 117