by 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 blog post, you’ll learn:
(i) How do you multiply step-by-step.
(ii) Rules for multiplying and dividing integers.
(iii) Simple examples to understand quickly.
Contents
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 |
|---|---|
| (+) × (+) | + |
| (-) × (-) | + |
| (+) × (-) | – |
| (-) × (+) | – |
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)
(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
- (+ ÷ +) = +
- (- ÷ -) = +
- (+ ÷ -) = –
- (- ÷ +) = –
Example: 10 ÷ 0 = Not defined
(Different signs → negative)
Solution. Step1: –3 × 4 =-12
Step 2: -12 × -2 = 24
Final Answer = 24
(Same signs → positive)
(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)
A) 18
B) -18
C) 9
D) -9
Ans. B
2. (-5) × (-4) = ?
A) -20
B) 20
C) 9
D) -9
Ans. B
B) -14
C) 9
D) -9
Ans. B
A) 24
B) 11
C) -24
D) -11
Ans. C
A) 36
B) -36
C) 12
D) -12
Ans. A
A) 4
B) -5
C) 5
D) -4
Ans. D
A) 6
B) -6
C) 30
D) -30
Ans. B
A) -7
B) 6
C) 7
D) -6
Ans. C
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
Integers Multiplication Quiz
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- BODMAS Questions for class 5
- Simplify questions for class
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- Unitary Method for Class 5
- Addition of Integers: Rules, Examples, and Practice Question
