Q32. - Algebra 1

Question

Evaluate each expression using properties of numbers. Name the property used in each step.

$18+41+32+9$

Step-by-Step Solution

Answer

The value of the given expression is $100$.

Step 1. Commutative property of addition.

If $a$ and $b$ two integers then $a+b=b+a$

Step 2. Application of commutative property of addition.

$$\begin{gathered} 18+41+32+9=18+32+41+9 \left[\mathrm{By} \mathrm{commutative} \mathrm{law} \mathrm{of} \mathrm{addition}\right] \\ =\left(18+32\right)+\left(41+9\right) \\ =50+50 \left[\mathrm{Substitution}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$50+50=100 \left[\mathrm{Substitution}\right]$