How Many Times?
What is Multiplication?
MULTIPLICATION is a QUICK way to add the SAME number many times.
Addition way: 2 + 2 + 2 + 2 = 8 (adding 2 four times) Multiplication way: 4 × 2 = 8 (4 groups of 2)
Key Idea
Multiplication = Repeated Addition
When you have MANY groups with the SAME number of things in each group, use multiplication!
Repeated Addition
Example 1: How Many Legs?
1 dog has 4 legs. 2 dogs have 4 + 4 = 8 legs. 3 dogs have 4 + 4 + 4 = 12 legs. 4 dogs have 4 + 4 + 4 + 4 = 16 legs.
Multiplication: 4 × 4 = 16 (4 dogs, each with 4 legs)
Example 2: How Many Wheels?
1 car has 4 wheels. 5 cars have 4 + 4 + 4 + 4 + 4 = 20 wheels.
Multiplication: 5 × 4 = 20
Example 3: How Many Chapatis?
You eat 2 chapatis for each meal. In 3 meals: 2 + 2 + 2 = 6 chapatis. Multiplication: 3 × 2 = 6
Practice
| Repeated Addition | Multiplication | Answer |
|---|---|---|
| 5 + 5 + 5 | 3 × 5 | 15 |
| 3 + 3 + 3 + 3 | 4 × 3 | 12 |
| 10 + 10 + 10 | 3 × 10 | 30 |
| 7 + 7 | 2 × 7 | 14 |
| 6 + 6 + 6 + 6 + 6 | 5 × 6 | 30 |
Multiplication Tables (1 to 10)
Table of 1
1 × 1 = 1, 2 × 1 = 2, 3 × 1 = 3, 4 × 1 = 4, 5 × 1 = 5 6 × 1 = 6, 7 × 1 = 7, 8 × 1 = 8, 9 × 1 = 9, 10 × 1 = 10
Table of 2
2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, 2 × 4 = 8, 2 × 5 = 10 2 × 6 = 12, 2 × 7 = 14, 2 × 8 = 16, 2 × 9 = 18, 2 × 10 = 20
Table of 3
3 × 1 = 3, 3 × 2 = 6, 3 × 3 = 9, 3 × 4 = 12, 3 × 5 = 15 3 × 6 = 18, 3 × 7 = 21, 3 × 8 = 24, 3 × 9 = 27, 3 × 10 = 30
Table of 4
4 × 1 = 4, 4 × 2 = 8, 4 × 3 = 12, 4 × 4 = 16, 4 × 5 = 20 4 × 6 = 24, 4 × 7 = 28, 4 × 8 = 32, 4 × 9 = 36, 4 × 10 = 40
Table of 5
5 × 1 = 5, 5 × 2 = 10, 5 × 3 = 15, 5 × 4 = 20, 5 × 5 = 25 5 × 6 = 30, 5 × 7 = 35, 5 × 8 = 40, 5 × 9 = 45, 5 × 10 = 50
Table of 6
6 × 1 = 6, 6 × 2 = 12, 6 × 3 = 18, 6 × 4 = 24, 6 × 5 = 30 6 × 6 = 36, 6 × 7 = 42, 6 × 8 = 48, 6 × 9 = 54, 6 × 10 = 60
Table of 7
7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21, 7 × 4 = 28, 7 × 5 = 35 7 × 6 = 42, 7 × 7 = 49, 7 × 8 = 56, 7 × 9 = 63, 7 × 10 = 70
Table of 8
8 × 1 = 8, 8 × 2 = 16, 8 × 3 = 24, 8 × 4 = 32, 8 × 5 = 40 8 × 6 = 48, 8 × 7 = 56, 8 × 8 = 64, 8 × 9 = 72, 8 × 10 = 80
Table of 9
9 × 1 = 9, 9 × 2 = 18, 9 × 3 = 27, 9 × 4 = 36, 9 × 5 = 45 9 × 6 = 54, 9 × 7 = 63, 9 × 8 = 72, 9 × 9 = 81, 9 × 10 = 90
Table of 10
10 × 1 = 10, 10 × 2 = 20, 10 × 3 = 30, 10 × 4 = 40, 10 × 5 = 50 10 × 6 = 60, 10 × 7 = 70, 10 × 8 = 80, 10 × 9 = 90, 10 × 10 = 100
Multiplication Properties
Order Doesn't Matter
3 × 4 = 12 and 4 × 3 = 12 3 groups of 4 = 4 groups of 3
This is called the COMMUTATIVE property.
Multiplying by 1
Any number × 1 = the SAME number
- 5 × 1 = 5
- 100 × 1 = 100
Multiplying by 0
Any number × 0 = 0
- 5 × 0 = 0
- 100 × 0 = 0
Simple Word Problems
Problem 1: Biscuits
A packet has 4 biscuits. Riya buys 3 packets. How many biscuits in total?
Solution: 3 × 4 = 12 biscuits Check: 4 + 4 + 4 = 12 ✓
Problem 2: Pencils in a Class
Each bench has 2 students. There are 15 benches. How many students?
Solution: 15 × 2 = 30 students Check: 2 + 2 + 2... (15 times) = 30 ✓
Problem 3: Fingers
How many fingers do 8 people have? (Each person has 10 fingers)
Solution: 8 × 10 = 80 fingers
Problem 4: Days in a Week
How many days in 5 weeks?
Solution: 5 × 7 = 35 days
Problem 5: Stickers
Amit has 6 pages of stickers. Each page has 9 stickers. How many stickers in total?
Solution: 6 × 9 = 54 stickers
Problem 6: Planting Trees
5 friends each plant 3 trees. How many trees in total?
Solution: 5 × 3 = 15 trees
Fun Multiplication Facts
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9 Times Table Trick: For 9 × n, the digits of the answer always add up to 9!
- 9 × 3 = 27 → 2 + 7 = 9
- 9 × 6 = 54 → 5 + 4 = 9
- 9 × 8 = 72 → 7 + 2 = 9
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10 Times Table: Just add a ZERO!
- 5 × 10 = 50
- 8 × 10 = 80
- 12 × 10 = 120
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5 Times Table: Always ends in 0 or 5!
- 5, 10, 15, 20, 25, 30...
Common Mistakes
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'3 + 3 + 3 = 3 × 3 × 3.' — No! 3 + 3 + 3 = 3 × 3. The × means 'groups of.' 3 × 3 means 3 groups of 3.
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'Any number × 0 = the same number.' — No! Any number × 0 = 0. 10 × 0 = 0, not 10.
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'7 × 3 = 24.' — No! 7 × 3 = 21. Practice your tables!
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'Multiplication is harder than addition.' — Multiplication is FASTER than addition. Instead of adding 2 eight times (2+2+2+2+2+2+2+2), just do 8 × 2 = 16.
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'4 × 3 means 4 + 3.' — No! 4 × 3 means 4 GROUPS of 3, which is 3 + 3 + 3 + 3 = 12, NOT 4 + 3 = 7.
Quick Self-Test
Q1: Write 5 + 5 + 5 + 5 as a multiplication sentence. A1: 4 × 5 = 20.
Q2: What is 6 × 7? A2: 42.
Q3: There are 4 chairs at each table. How many chairs for 6 tables? A3: 6 × 4 = 24 chairs.
Q4: What is 9 × 0? A4: 0.
Q5: If one book costs ₹10, how much do 7 books cost? A5: 7 × 10 = ₹70.
Q6: Fill in the blank: 8 × ___ = 40 A6: 5 (because 8 × 5 = 40).
Q7: How many wheels on 6 bicycles? (Each bicycle has 2 wheels) A7: 6 × 2 = 12 wheels.
Q8: What is 12 × 10? A8: 120.
