Question

Simplify the expression.

$m+5+9$

Short answer

$m+5+9 = m+13$.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Commutative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expression$m+5+9$, the term m is a variable. The terms 5and 9 are constants.

Using the Commutative property of addition, adding like terms,

$\begin{array}{l}m+5+9\\ m+(5+9)\left(\text{Makeagroupwithconstantterms}\right)\\ m+(9+5)(\text{CommutativePropertyofAddition)}\\ m+13\end{array}$

$m+5+9 = m+13$