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Multiplying Integers and Dividing Integers




 


Related Topics:
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




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) = –3

The following video shows more examples of multiplying and dividing negative numbers:



 

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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