Introduction to Multiplying and Dividing Integers

What you’ll learn to do: Simplify and evaluate expressions that involve the multiplication and division of integers

Several twenty-dollar bills fanned out in a pile

How much money does Allan need to pay back his friends?

Allan went on a trip with three of his friends to Las Vegas, but he lost his wallet on the flight there. Luckily, his friends were willing to pay his share of costs during the trip as long as he promised to pay them back later. Allan’s friend Sergio kept all the receipts and added everything up on the flight home, and he determined that Allan owed each friend [latex]$65[/latex]. How much was Allan’s total share of the costs? To figure this out, you’ll need to multiply integers. We’ll explore how to multiply and divide integers, as well as how to simplify and evaluate variable expressions with integers, in this section.

Before you get started in this module, try a few practice problems and review prior concepts.

Readiness Quiz

If you missed this problem, review the following video.

If you missed this problem, review the following examples.

When [latex]n=-5[/latex], evaluate

[latex]n+1[/latex]
[latex]-n+1[/latex]

Show Solution

1. Evaluate [latex]n+1[/latex] when [latex]n=-5[/latex]
	[latex]n+1[/latex]
Substitute [latex]\color{red}{-5}[/latex] for n.	[latex]\color{red}{-5}+1[/latex]
Simplify.	[latex]-4[/latex]

2. Evaluate [latex]-n+1[/latex] when [latex]n=-5[/latex]
	[latex]-n+1[/latex]
Substitute [latex]\color{red}{-5}[/latex] for n.	[latex]-(\color{red}{-5})+1[/latex]
Simplify.	[latex]5+1[/latex]
Add.	[latex]6[/latex]

Chapter 1: Integers (Signed Numbers)