How to Multiply and Divide Integers? (+FREE Worksheet!)
Do you know integers? Join us in this post to learn more about integers and learn how to multiply and divide them in simple ways.
Any number that can be displayed without a fraction is called an integer. For example, the numbers \(-1, -4, 0, 5, 10\) are integers because we can specify them without having to display a regular fraction.
It can be said that integers consist of three categories:
- Positive integers
- Zero
- Negative integers
Multiplying and dividing integers is just like simple multiplying and dividing, the only difference being that you have to specify the answer sign before you do the multiplying or dividing operation.
Here you learn how to multiply and divide integers using integers multiplication and division rules.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Related Topics
- How to Add and Subtract Integers
- How to Order Integers and Numbers
- How to Use Order of Operations
- How to Solve Integers and Absolute Value Problems
Step-by-step guide to multiplying and dividing integers
To multiply and divide integers, we must do the following 2 steps:
Step 1: Determine the answer sign: When we want to multiply or divide two integers, we first multiply the symbols of the two numbers to determine the answer sign.
- The product of multiplying or dividing two positive numbers is a positive number.
- The product of multiplying or dividing two negative numbers is a positive number.
- The product of multiplying or dividing a positive number and a negative number is a negative number
Use these rules for multiplying and dividing integers:
- \(\color{black}{(negative)} \ × \ \color{ black }{(negative)} = \color{blue}{positive}\)
- \( \color{ black }{(negative)} \ ÷ \ \color{ black }{(negative)} = \color{blue}{positive}\)
- \(\color{ black }{(negative)} \ × \ \color{blue}{(positive)}= \color{ black }{negative}\)
- \( \color{ black }{(negative)} \ ÷ \ \color{blue}{(positive)} = \color{ black }{negative}\)
- \(\color{blue}{(positive)} \ × \ \color{blue}{(positive)}= \color{blue}{positive}\)
Step 2: Once we have found the answer sign, the rest of the work is like a simple multiplication or division: If we have multiplication, we multiply two numbers together. If we have a division, we divide the two numbers.
Multiply and Divide Integers – Example 1:
Solve. \(3 \ \times \ (12 \ – \ 14)=\)
Solution:
First subtract the numbers in brackets, \(12 \ – \ 14= \ – \ 2 → (3) \ \times \ (- \ 2)=\)
Now use this formula: \(\color{ black }{(negative)} \ × \ \color{blue}{(positive)}= \color{ black }{negative}\)
\( (3) \ \times \ (- \ 2)= \ – \ 6\)
Multiply and Divide Integers – Example 2:
Solve. \((- \ 8) \ + \ (12 \ \div \ 4)=\)
Solution:
First divided \( 12\) by \(4\), the numbers in brackets, \(12 \ \div \ 4=3\)
\((-8) \ + \ (3)= -8 \ + \ 3= \ – 5\)
The Best Book to Help You Ace Pre-Algebra
Multiply and Divide Integers – Example 3:
Solve. \((2-5)×(3)=\)
Solution:
First subtract the numbers in brackets, \(2-5=-3 → (-3)×(3)=\)
Now use this rule: \( \color{ black }{(negative)} \ × \ \color{blue}{(positive)} = \color{ black }{negative}\)
\((-3)×(3)= \ -9\)
Multiply and Divide Integers – Example 4:
Solve. \((-12)+(48÷6)=\)
Solution:
First divided \(48\) by \(6\), the numbers in brackets, \(48÷6=8\)
\((-12)+(8)=-12+8= -4\)
Exercises for Multiplying and Dividing Integers
Find each Product and Quotient.
- \(\color{blue}{(– 8) × (– 2)}\)
- \(\color{blue}{ – 3 × 6 }\)
- \(\color{blue}{(– 4) × 5 × (– 6) }\)
- \(\color{blue}{ – 18 ÷ 3 }\)
- \(\color{blue}{(– 24) ÷ 4}\)
- \(\color{blue}{(– 63) ÷ (– 9)}\)
Download Multiplying and Dividing Integers Worksheet
- \(\color{blue}{16}\)
- \(\color{blue}{ – 18}\)
- \(\color{blue}{120}\)
- \(\color{blue}{ – 6}\)
- \(\color{blue}{ –6}\)
- \(\color{blue}{7}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- A Complete Explanation of the Continuity over an Interval
- How to Choose a Model to Subtract Fractions with Like Denominators
- The Ultimate 7th Grade OAA Math Course (+FREE Worksheets)
- Complete Guide to Understanding Deductive Reasoning: Principles and Applications
- What is the Median of a Triangle?
- The Ultimate ISEE Middle Level Math Formula Cheat Sheet
- Intelligent Math Puzzle – Challenge 86
- Exploring Geometry Fundamentals: Study of Points, Lines, and Planes
- Case File: How to Solve Multi-step Problems Involving Percent
- How to Find Mean Absolute Deviation?
What people say about "How to Multiply and Divide Integers? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.