Here you learn how to multiply and divide integers using integers multiplication and division rules.

## 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

Use these rules for multiplying and dividing integers:

- \(\color{black}{(negative)} \ × \ \color{ black }{(negative)} = \color{blue}{positive}\)
- \( \color{ black }{(negative)} \ ÷ \ \color{ black }{(negative)} = \color{blue}{positive}\)
- \(\color{ black }{(negative)} \ × \ \color{blue}{(positive)}= \color{ black }{negative}\)
- \( \color{ black }{(negative)} \ ÷ \ \color{blue}{(positive)} = \color{ black }{negative}\)
- \(\color{blue}{(positive)} \ × \ \color{blue}{(positive)}= \color{blue}{positive}\)

### 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, \(12 \ \div \ 4=3\)

\(= (- \ 8) \ + \ (3)= \ – \ 8 \ + \ 3= \ – \ 5\)

### 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

- \(\color{blue}{16}\)
- \(\color{blue}{ – 18}\)
- \(\color{blue}{120}\)
- \(\color{blue}{ – 6}\)
- \(\color{blue}{-6}\)
- \(\color{blue}{7}\)