Q35. - Algebra 1

Question

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

$5.3+2.8+3.7+6.2$

Step-by-Step Solution

Answer

The value of the given expression is $18$.

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.

$$\begin{gathered} 5.3+2.8+3.7+6.2=5.3+3.7+2.8+6.2 \left[\mathrm{By} \mathrm{commutative} \mathrm{law} \mathrm{of} \mathrm{addition}\right] \\ =\left(5.3+3.7\right)+\left(2.8+6.2\right) \\ =9+9 \left[\mathrm{Substitution}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$9+9=18 \left[\mathrm{Substitution}\right]$