# Arithmetic With Negative Numbers (Mathematics Lesson)

# What Is Arithmetic With Negative Numbers?

Arithmetic means adding, subtracting, multiplying and dividing numbers.Arithmetic becomes trickier when it involves negative numbers and needs extra care.

In this lesson, we are going to look at:

- Adding a negative number.
- Subtracting a negative number.
- Multiplying by a negative number.
- Dividing by a negative number.

# Adding a Negative Number

Adding a negative number is equivalent to subtracting the (positive) number.#### An Example Question

What is 2 + -1?
2 + -1 = 2 - (+1) = 2 - 1 = 1

# Subtracting a Negative Number

Subtracting a negative number is equivalent to adding the (positive) number. (*2 negatives make a positive!*)

#### An Example Question

What is 2 - -1?
2 - -1 = 2 + (+1) = 2 + 1 = 3

# Multiplying By a Negative Number

Multiplying by a negative number gives different results depending on the sign of the number it is multiplied with.**Multiplying a Positive Number With a Negative Number**

Multiplying a positive number with a negative number creates a negative number.

#### An Example Question

What is 2 × -2?
2 × -2 = -(2 × 2) = -4

**Multiplying a Negative Number With a Negative Number**

Multiplying a negative number with a negative number creates a positive number. (

*2 negatives make a positive!*)

#### An Example Question

What is -2 × -2?
-2 × -2 = --(2 × 2) = +(2 × 2) = +4 = 4

# Dividing By a Negative Number

Dividing by a negative number gives different results depending on the sign of the number it divides.**Dividing a Positive Number With a Negative Number**

Dividing a positive number with a negative number creates a negative number.

#### An Example Question

What is 4 ÷ -2?
4 ÷ -2 = -(4 ÷ 2) = -2

**Dividing a Negative Number With a Negative Number**

Dividing a negative number with a negative number gives a positive number.

#### An Example Question

What is -4 ÷ -2?
-4 ÷ -2 = --(4 ÷ 2) = +2 = 2

##### Quick Test

**show**

Here's a second test on arithmetic with negative numbers.

Here's a third test on arithmetic with negative numbers.

##### Top Tip

# Rules For Signs: Addition and Subtraction

Same signs give a plus:Different signs give a minus:

# Rules For Signs: Multiplication and Division

Same signs give a plus:Different signs give a minus: