Chapter 1.4, Problem 28IP

To determine

To simplify the expression $14+\left(27+m\right)$ .

Answer to Problem 28IP

  $41+m$

Explanation of Solution

Given information:

The expression: $14+\left(27+m\right)$ .

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Associative Property of Addition: $a+\left(b+c\right)=\left(a+b\right)+c$

Calculation:

In order to simplify the expression $14+\left(27+m\right)$ , first remove the parenthesis and then combine the like terms to simplify further as shown below,

  $\begin{array}{c}14+\left(27+m\right)=\left(14+27\right)+m\\ =\left(41\right)+m\\ =41+m\end{array}$

Thus, the given expression simplifies to $41+m$ .