Q9. - Algebra 1

Question

Evaluate each expression. Name the property used in each step.

$37+29+13+21$

Step-by-Step Solution

Answer

The value of the given expression is.

Step 1. Commutative property of addition.

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

Step 2. Application of commutative property of addition.

$$\begin{gathered} 37+29+13+21=37+13+29+21\left[\text{By commutative law of addtion}\right] \\ =\left(37+13\right)+\left(29+21\right) \\ =50+50 \left[\text{Substitution}\right] \end{gathered}$$

Step 3. Simplifying the expression.

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