Multiplying Integers and Dividing Integers
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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
Dividing Integers
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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