Master

Multiplying and Dividing with Negatives

Master multiplying and dividing with negatives with interactive lessons and practice problems! Designed for students like you!

Learn

Get the basics

Practice

Apply your skills

Master

Achieve excellence

Multiplying and Dividing with Negatives

Study Guide

Key Definition

When multiplying or dividing with negative numbers, the sign of the result depends on the signs of the numbers involved.

Important Notes

A $positive \times positive = positive$
A $positive \times negative = negative$
A $negative \times positive = negative$
A $negative \times negative = positive$
The same rules apply to division
A $positive \div positive = positive$
A $positive \div negative = negative$
A $negative \div positive = negative$
A $negative \div negative = positive$

Mathematical Notation

$\times$ or $*$ represents multiplication

$\div$ or $/$ represents division

Remember to use proper notation when solving problems

Why It Works

Multiplying or dividing two numbers with the same sign results in a positive number, while different signs result in a negative number.

Remember

Two negatives make a positive; a negative and a positive make a negative.

Quick Reference

Multiplication:$(-a) \times (-b) = ab$

Division:$\frac{-a}{-b} = \frac{a}{b}$

Division:$\frac{-a}{b} = -\frac{a}{b}$

Division:$\frac{a}{-b} = -\frac{a}{b}$

Understanding Multiplying and Dividing with Negatives

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

When both numbers have the same sign, the result is positive. When they have different signs, the result is negative.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is the result of $4 \times (-6)$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you owe $-\$5$ daily on lunch, how much debt do you accumulate in a week of 5 days?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Determine the result of $(-4) \times (-5)$.

Challenge Quiz

Single Choice Quiz

Advanced

What is the result of $\frac{-18}{6}$?

Recap

Watch & Learn

Review key concepts and takeaways