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Study Guides > Prealgebra

Introduction to Multiplying and Dividing 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.  

Learning Outcomes

By the end of this section, you will be able to:
  • Multiply integers
  • Divide integers
  • Simplify expressions with integers
  • Evaluate variable expressions with integers
  • Translate word phrases to algebraic expressions
  Before you get started in this module, try a few practice problems and review prior concepts.

Examples

1) [ohm_question]144437[/ohm_question] If you missed this problem, review the following video. https://youtu.be/Hub7ku7UHT4 2) [ohm_question]145014[/ohm_question] If you missed this problem, review the following video. https://youtu.be/ViWY8hnbVgw 3) [ohm_question]145023[/ohm_question] If you missed this problem, review the following examples.
When [latex]n=-5[/latex], evaluate
  1. [latex]n+1[/latex]
  2. [latex]-n+1[/latex].
[hidden-answer a="70694"] 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]
[hidden-answer]

Licenses & Attributions

CC licensed content, Shared previously

  • Write Algebraic Expressions from Statements: Form ax+b and a(x+b). Authored by: James Sousa (Mathispower4u.com) for Lumen Learning. License: CC BY: Attribution.
  • Ex 1: Subtracting Integers. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Question ID: 144437, 145014, 145023. Authored by: Alyson Day. License: CC BY: Attribution. License terms: IMathAS Community License CC-BY + GPL.

CC licensed content, Specific attribution