Question

In the following exercises, simplify each expression.

$$\begin{gathered} \left(\text{a}\right)23-\left(-17\right) \\ \left(\text{b}\right)23+17 \end{gathered}$$

Short answer

The simplest form of the given expressions are

$$\begin{gathered} \left(\text{a}\right)40 \\ \left(\text{b}\right)40 \end{gathered}$$

Step-by-step solution

Step 1. Given information

$$\begin{gathered} \left(\text{a}\right)23-\left(-17\right) \\ \left(\text{b}\right)23+17 \end{gathered}$$

Part a.Step1.Simplify the expression

$$\begin{gathered} \left(\text{a}\right) \\ 23-\left(-17\right)=23+17\text{since,-}\left(-a\right)\text{=}a \\ =40\text{addnumbers} \end{gathered}$$

Hence,$23-\left(-17\right)=40.$

Part b.Step 1.Simplify the expression

$$\begin{gathered} \left(\text{b}\right) \\ 23+17=40\text{addthenumbers} \end{gathered}$$

Hence,$23+17=40.$