Question

In the following exercises, multiply or divide.

$$\begin{gathered} \left(\text{a}\right)-27÷9 \\ \left(\text{b}\right)120÷\left(-8\right) \\ \left(\text{c}\right)4\left(-14\right) \\ \left(\text{d}\right)-1\left(-17\right) \end{gathered}$$

Short answer

The simplest form of given expressions are

$$\begin{gathered} \left(\text{a}\right)-3 \\ \left(\text{b}\right)-15 \\ \left(\text{c}\right)-56 \\ \left(\text{d}\right)-17 \end{gathered}$$

Step-by-step solution

Step 1. Given information

The given expressions are

$$\begin{gathered} \left(\text{a}\right)-27÷9 \\ \left(\text{b}\right)120÷\left(-8\right) \\ \left(\text{c}\right)4\left(-14\right) \\ \left(\text{d}\right)-1\left(-17\right) \end{gathered}$$

Part a.Step 1.Simplify

$$\begin{gathered} \left(\text{a}\right)-27÷9=\frac{-27}{9} \\ =\frac{-3\times 3\times 3}{3\times 3}\text{factorize} \\ =-3\text{Canclecommonfactors} \end{gathered}$$

Part b.Step 1.Simplify

$$\begin{gathered} \left(\text{b}\right)120÷\left(-8\right)=\frac{120}{-8} \\ =\frac{2\times 2\times 2\times 3\times 5}{-2\times 2\times 2}\text{Factorizenumeratoranddenominator} \\ =-3\times 5\text{Cancelcommonfactors} \\ =-15 \end{gathered}$$

Part c.Step 1.Simplify

$\left(\text{c}\right)4\left(-14\right)=-56$

Part d.Step 1.Simplify

$\left(\text{d}\right)-1\left(-17\right)=17$