Question

1. Explain two ways to evaluate 45(13 + 18). 2. Explain two ways to evaluate 32(16-6).

Answer 1

To evaluate 45(13 + 18), we can use any of these methods.

Method 1

We simplify the expression in the bracket first.

$\begin{gathered} 45(13+18)=45(31) \\ =45\times31 \\ =1395 \end{gathered}$

Method 2

We apply the distributive property.

$\begin{gathered} 45(13+18)=45(13)+45(18) \\ =45\times13+45\times18 \\ =585+810 \\ =1395 \end{gathered}$