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More Lessons for Arithmetic
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Lessons for 7th Grade Math
In these lessons, we will learn how to multiply and divide integers using rules.
The rules for multiply and dividing integers are similar.
The following diagram shows the rule to multiply and divide integers. Scroll down the page for more examples and solutions on multiplying and dividing integers.
Integer Rules Lesson
Check out the following lesson for the integer addition, subtraction, multiplication, and division.
Integer Rules
Integer Worksheets
Practice your integer skills with the following integer worksheets:
Online & Printable Integer Worksheets
Lessons on Integers
Integers and Integer Operations
The Rules for Multiplication of Integers
The Rules for Division of Integers
Important Considerations for Division:
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) = –3
Multiply and Divide Integers
Examples of multiplying and dividing negative numbers
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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