# Multiply And Divide Integers

**Money that you save** in a bank account is **positive**.

**Money that you owe** is **negative**.

The **SPUN** rule for multiplying and dividing positive and negative integers.

**Same signs Positive answer
Unlike or different signs Negative answer**

**Multiplying integers with the same signs gives a positive answer**

+2 × +3 = +6

–2 × –3 = +6

**Dividing integers with the same signs gives a positive answer**

–10 ÷ –2 = +5

–6 ÷ –3 = +2

**Multiplying integers with unlike (different signs) gives a negative answer**

–6 × +3 = –18

+5 × –2 = –10

**Dividing integers with unlike (different signs) gives a negative answer**

–10 ÷ +5 = –2

+12 ÷ –4 = –3

## Example One

Babette saves $5 every week for 10 weeks. Write this with integers and then find the total saved.

**Answer:**

+5 × +10 = +50 = $50

## Example Two

Bob receives 3 bills for $4 each. Write this with integers and then find the total owed.

**Answer:**

–4 x +3 = –12 = $12 owed

## Example Three

Mike owes a total of $100. He will repay this over 10 weeks. How much will be paid each week?

**Answer:**

–100 ÷ +10 = –10 = $10 repaid weekly

## Example Four

+3 × –4 × +10 ÷ –5

**Answer:**

Calculate this from left to right.

+3 × –4 × +10 ÷ –5

= –12 × +10 ÷ –5

= –120 ÷ –5

= +24

## Questions

**Q1.** +5 × –2 × –3
**Q2.** –20 × –4 ÷ –5

**Answers**
**A1.** +30
**A2.** –16