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More Lessons for Arithmetic

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In these lessons, we will learn how to multiply and divide integers using rules.

What will be the sign for the product when we multiply 2 integers together, for example ( - 2) × (+3)?

When multiplying signed integers, the following rules for signs apply:

(+) × (+) = (+)(+) × (−) = (−)

(−) × (+) = (−)

(−) × (−) = (+)

*Example: *

(+2) × (+3) = +6

(+2) × (–3) = –6

(–2) × (+3) = –6

(–2) × (–3) = +6

Recall that any number multiplied by 0 will result in 0.

*Example : *

4 × 0 = 0

0 × (–103) = 0

*Example: *

Calculate the following:

a) (–7) × (–2) =

b) 5 × (–3) × (–3) =

c) (–4) × (–3) × (–2) =

* Solution: *

a) (–7) × (–2) = 14

b) 5 × (–3) × (–3)

= (–15) × (–3)

= 45

c) (–4) × (–3) × (–2)

= 12 × (–2)

= –24

When we dividing integers, the similar rules for signs apply:

(+) ÷ (+) = (+)(+) ÷ (−) = (−)

(−) ÷ (+) = (−)

(−) ÷ (−) = (+)

* Example: *

(+6) ÷ (+2) = +3

(+6) ÷ (–2) = –3

(–6) ÷ (+2) = –3

(–6) ÷ (–2) = +3

* Example: *

Calculate the following:

a) (–8) ÷ (–2) =

b) (12) ÷ (–4) =

* Solution: *

a) (–8) ÷ (–2) = 4

b) (12) ÷ (–4) = –3The following video shows more examples of multiplying and dividing negative numbers:

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