July 2, 2026

How to Multiply Integers Easily (Step-by-Step Guide with Rules & Examples)

How to multiply integers 

Multiplying integers may seem confusing at first, especially when negative numbers are involved. But it is actually very easy once you understand a few simple rules. In this post, you will learn:
(i) How do you multiply  step-by-step.
(ii) Rules for multiplying and dividing integers.
(iii) Simple examples to understand quickly.

How to multiply integers rules and examples

What Are Integers?

Integers are whole numbers that can be positive, negative, or zero. In another words
Integers are numbers without decimals or fractions. Examples:
Positive integers: 1, 2, 3, 10
Negative integers: -1, -2, -5, -10
Zero: 0
On the number line,  numbers to the right of 0 are positive and numbers to the left of 0 are negative. So, integers include all these numbers together …, -3, -2, -1, 0, 1, 2, 3, …

Rules for Integer Multiplication

To understand how to do integers multiplication, remember the following rules:

Sign Rule Result
(+) × (+) +
(-) × (-) +
(+) × (-)
(-) × (+)
When both the numbers have the same signs , the answer will be positive and when the numbers have different signs, answer will be negative.How to Multiply Integers (Step-by-Step)Step 1: Ignore the signs and Multiply numbers .
Step 2: Apply sign rules. Use the sign table above.
Examples :
Example 1: 3 × 4 = 12
(Both positive → answer is positive)
 
Example 2 : 5 × 6 = -30

(Different signs → negative)

Example 3 :  -7 × -8 = 56
(Same negative signs → positive)

How Do We  Divide Integers?

To divide integers use the same rules that are used to multiply integers. It means when both the numbers have the same signs , the answer will be positive and when the numbers have different signs, answer will be negative.

Division Rules

  • (+ ÷ +) = +
  • (- ÷ -) = +
  • (+ ÷ -) = –
  • (- ÷ +) = –
Important Rule : Division by zero is not defined.
Example: 10 ÷ 0 = Not defined
 
Example :  -20 ÷ 5 = -4
(Different signs → negative)
 
Example: -3 × 4 × -2
Solution. Step 1: 3 × 4 =-12
Step 2: -12 × -2 = 24
Final Answer = 24
 
Example: -36 ÷ -6 = 6
(Same signs → positive)
 
Example 3 : 18 ÷ -3 = -6
(Different signs → negative)

Tips to Avoid Mistakes

(i)Don’t forget sign rules.
(ii) Don’t rush calculations
(iii)Practice daily
(iv) Double-check answers
Integer Multiplication & Division ( 30 MCQs with answers)
1. What is 6 × (-3)?
A) 18
B) -18
C) 9
D) -9
Ans.  B

 

2. (-5) × (-4) = ?
A) -20
B) 20
C) 9
D) -9
Ans. B

3. 7 × (-2) = ?
A) 14
B) -14
C) 9
D) -9
Ans. B
 
4. (-8) × 3 = ?
A) 24
B) 11
C) -24
D) -11
Ans.  C
 
5. (-6) × (-6) = ?
A) 36
B) -36
C) 12
D) -12
Ans. A
 
6. 20 ÷ (-5) = ?
A) 4
B) -5
C) 5
D) -4
Ans.  D
 
7. (-36) ÷ 6 = ?
A) 6
B) -6
C) 30
D) -30
Ans. B
 
8. (-49) ÷ (-7) = ?
A) -7
B) 6
C) 7
D) -6
Ans. C
 
9. 64 ÷ (-8) = ?
A) 8B) -8
C) 7
D) -7
Ans. B

 

10. (-81) ÷ 9 = ?
A) -9
B) 9
C) 8
D) -8
Ans. A

11. (-3) × 5 × (-2) = ?
A) 30
B) -30
C) 10
D) -10
Ans. A

12. (-2) × (-2) × (-2) = ?
A) 8
B) -8
C) 4
D) -4
Ans. B

13. 4 × (-3) × 2 = ?
A) -24
B) 24
C) 6
D) -6
Ans. A

14. (-10) × (-2) × 3 = ?
A) 60
B) -60
C) 30
D) -30
Ans. A

15. (-7) × 0 = ?
A) 0
B) 7
C) -7
D) 1
Ans. A

16. 0 ÷ (-5) = ?
A) 5
B) 0
C) -5
D) Not defined
Ans.B

17. (-12) ÷ 3 × 2 = ?
A) -8
B) 8
C) -6
D) 6
Ans. A

18. 24 ÷ (-6) × (-2) = ?
A) -8
B) 8
C) 12
D) -12
Ans. B

19. (-9) × 3 ÷ (-3) = ?
A) 3
B) -9
C) 9
D) -1
Ans. C

20. (-16) ÷ (-4) × (-2) = ?
A) 4
B) 8
C) -4
D) -8
Ans. D

21. (-25) × 2 = ?
A) 50
B) -50
C) 23
D) -23
Ans. B

22. 15 × (-3)×(-5) = ?
A) 45
B) -45
C) 225
D) -12
Ans. C

23. (-18) ÷ (-3) = ?
A) -6
B) 6
C) 9
D) -9
Ans. B

24. (-100) ÷ 10 × 10 ×(-2) = ?
A) 10
B) 20
C) 50
D) -1
Ans. C

25. (-11) × (-11) = ?
A) -121
B) 121
C) 22
D) -22
Ans. B

26. 32 ÷ (-4) × 3 = ?
A) 8
B) -8
C) -24
D) -6
Ans. C

27. (-45) ÷ 5 ×2 = ?
A) 9
B) -9
C) 8
D) -18
Ans. D

28. (-6) × (-3) × (-2) = ?
A) 36
B) -36
C) 18
D) -18
Ans. B

29. 10 × (-2) × (-3) = ?
A) 60
B) -60
C) 6
D) -6
Ans. A

30. (-72) ÷ (-8) = ?
A) -9
B) 9
C) 8
D) -8
Ans. B

A) 42
B) -42
C) 12
D) -12
Ans. B) -42

32. Find the value of (−9)×[(−2)+5]
A) -27
B) 27
C) -63
D) 63
Ans: A) -27

33. A number is multiplied by −6- and the result is 54. The number is:
A) 9
B) -9
C) -48
D) 48

Answer: B) -9

Integers Multiplication Quiz 

Integers Quiz 

 

You might also be interested in:

Leave a Reply

Your email address will not be published. Required fields are marked *

Some tips for mathematics students Scholarships for Girl Students in India How to improve your maths grades How you can avoid silly mistakes in Mathematics How to prepare for NDA Maths Exam