# Arithmetic with Negative Numbers

(KS2, Year 5)

- 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.## 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!*

## 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.## 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!*

## 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.## 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.*2 negatives make a positive!*

## Question

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

## 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:## Worksheet

This test is printable and sendable