# Algebra I/Content/Introduction to Basic Algebra Ideas/Working With Negative Numbers

Back to Table of Contents Algebra I

## Contents

## Vocabulary

Positive

Negative

## Lesson

### Negative Numbers

A **positive** number is a number more than zero.

A **negative** number is a number less than zero. You make a negative number by doing the negative operation on a positive number. You use the **" - "** sign for the negative operation. This sign is the same you use for subtracting.

### Adding and Subtracting

Adding a negative number is the same as subtracting a positive number.

**7 + -4 = 7 - 4****x + -y = x - y**

Subtracting a negative number is the same as adding a positive number.

**7 - -4 = 7 + 4****x - -y = x + y**

### Multiplying and Dividing

Multiplying a negative number by a positive number, or a positive number by a negative number makes the answer negative.

**-2 * 3 = -6****2 * -3 = -6**

Multiplying a negative number by a negative number makes the answer positive.

**-2 * -3 = 6**

You do the same for dividing.

**-6 / 3 = -2****6 / -3 = -2****-6 / -3 = 2**

### Exponentiating

Exponentiating a negative number to an even (a number you can divide by two) power makes a positive answer.

**(-3)^2 = 9****(-x)^2 = -x * -x = x^2**

Exponentiating a negative number to an odd (a number you can not divide by two) power makes a negative answer.

**(-2)^3 = -8****(-x)^3 = -x * -x * -x = x^2 * -x = -x^3**

### Order of Operations

The negative operation has the same precedence as multiplying and dividing.

**3 - -8 / 4 = 3 + 2 = 5****-3 ^ 2 = -(3 * 3) = -9****(-3) ^ 2 = (-3 * -3) = 9**

## Example Problems

## Practice Games

## Practice Problems

-2*-3=

-7*11=

-4+7(-2)=