How to Multiply and Divide Integers

How to Multiply and Divide Integers

Here you learn how to multiply and divide integers using integers multiplication and division rules.

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Step by step guide to multiplying and dividing integers

Use these rules for multiplying and dividing integers:

  • \(\color{black}{(negative)} \ × \ \color{ black }{(negative)} = \color{blue}{positive}\)
  • \( \color{ black }{(negative)} \ ÷ \ \color{ black }{(negative)} = \color{blue}{positive}\)
  • \(\color{ black }{(negative)} \ × \ \color{blue}{(positive)}= \color{ black }{negative}\)
  • \( \color{ black }{(negative)} \ ÷ \ \color{blue}{(positive)} = \color{ black }{negative}\)
  • \(\color{blue}{(positive)} \ × \ \color{blue}{(positive)}= \color{blue}{positive}\)

Multiply and Divide Integers – Example 1:

Solve. \(3 \ \times \ (12 \ – \ 14)=\)

Solution:

First subtract the numbers in brackets, \(12 \ – \ 14= \ – \ 2 → (3) \ \times \ (- \ 2)=\)
Now use this formula: \(\color{ black }{(negative)} \ × \ \color{blue}{(positive)}= \color{ black }{negative}\)
\( (3) \ \times \ (- \ 2)= \ – \ 6\)

Multiply and Divide Integers – Example 2:

Solve. \((- \ 8) \ + \ (12 \ \div \ 4)=\)

Solution:

First divided \( 12\) by \(4\), the numbers in brackets, \(12 \ \div \ 4=3\)
\(= (- \ 8) \ + \ (3)= \ – \ 8 \ + \ 3= \ – \ 5\)

Multiply and Divide Integers – Example 3:

Solve. \((2-5)×(3)=\)

Solution:

First subtract the numbers in brackets, \(2-5=-3 → (-3)×(3)=\)
Now use this rule: \( \color{ black }{(negative)} \ × \ \color{blue}{(positive)} = \color{ black }{negative}\)
\((-3)×(3)= \ -9\)

Multiply and Divide Integers – Example 4:

Solve. \((-12)+(48÷6)=\)

Solution:

First divided \(48\) by \(6\), the numbers in brackets, \(48÷6=8\)
\(=(-12)+(8)=-12+8= \ -4\)

Exercises for Multiplying and Dividing Integers

Find each Product and Quotient.

  1. \(\color{blue}{(– 8) × (– 2)}\)
  2. \(\color{blue}{ – 3 × 6 }\)
  3. \(\color{blue}{(– 4) × 5 × (– 6) }\)
  4. \(\color{blue}{ – 18 ÷ 3 }\)
  5. \(\color{blue}{(– 24) ÷ 4}\)
  6. \(\color{blue}{(– 63) ÷ (– 9)}\)

Download Multiplying and Dividing Integers Worksheet

This image has an empty alt attribute; its file name is answer-3.png
  1. \(\color{blue}{16}\)
  2. \(\color{blue}{ – 18}\)
  3. \(\color{blue}{120}\)
  4. \(\color{blue}{ – 6}\)
  5. \(\color{blue}{-6}\)
  6. \(\color{blue}{7}\)

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