By the end of this chapter you'll be able to…

  • 1Understand multiplication as repeated addition: 5 × 3 = 3 + 3 + 3 + 3 + 3
  • 2Memorize multiplication tables from 1 to 10 with fluency
  • 3Solve simple multiplication problems using tables (e.g., 7 × 8 = 56)
  • 4Apply multiplication to real-world problems: total legs, total wheels, total cost of multiple items
  • 5Use the commutative property intuitively: 3 × 4 = 4 × 3 (order doesn't change the product)
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Why this chapter matters
Multiplication is the gateway to all higher mathematics — without it, division, fractions, area, and algebra are impossible. This chapter introduces multiplication as repeated addition (3 × 4 = 4 + 4 + 4), teaches tables from 1 to 10, and builds fluency through real-world contexts (legs of animals, wheels of vehicles, rows of objects). Mastering tables at this stage makes all future math faster and more confident.

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 AdditionMultiplicationAnswer
5 + 5 + 53 × 515
3 + 3 + 3 + 34 × 312
10 + 10 + 103 × 1030
7 + 72 × 714
6 + 6 + 6 + 6 + 65 × 630

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

  • 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
  • 10 Times Table: Just add a ZERO!

    • 5 × 10 = 50
    • 8 × 10 = 80
    • 12 × 10 = 120
  • 5 Times Table: Always ends in 0 or 5!

    • 5, 10, 15, 20, 25, 30...

Common Mistakes

  1. '3 + 3 + 3 = 3 × 3 × 3.' — No! 3 + 3 + 3 = 3 × 3. The × means 'groups of.' 3 × 3 means 3 groups of 3.

  2. 'Any number × 0 = the same number.' — No! Any number × 0 = 0. 10 × 0 = 0, not 10.

  3. '7 × 3 = 24.' — No! 7 × 3 = 21. Practice your tables!

  4. '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.

  5. '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.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Multiplication as repeated addition
5 × 3 means '5 groups of 3' = 3 + 3 + 3 + 3 + 3 = 15. 4 × 2 means '4 groups of 2' = 2 + 2 + 2 + 2 = 8. The first number = number of groups. The second number = how many in each group.
Draw groups of dots to visualize. 3 × 4: draw 3 circles, put 4 dots in each. Count total dots = 12.
Tables 1 to 10 (essential)
2×: 2,4,6,8,10,12,14,16,18,20 · 3×: 3,6,9,12,15,18,21,24,27,30 · 4×: 4,8,12,16,20,24,28,32,36,40 · 5×: 5,10,15,20,25,30,35,40,45,50 · 10×: 10,20,30,40,50,60,70,80,90,100 · Others: learn through patterns and repetition
Tables are the 'vocabulary' of mathematics — memorize them. Start with 2, 5, and 10 tables (easiest), then 3 and 4.
Multiplication in real life
Total legs: number of animals × legs per animal (3 dogs = 3×4=12 legs) · Total wheels: vehicles × wheels each (5 cars = 5×4=20 wheels) · Total cost: items × price each (4 chocolates at ₹5 each = 4×5=₹20) · Rows × columns: a grid of objects
Multiplication is everywhere. Every time you count 'groups of the same size', it's multiplication.
Commutative property (order doesn't matter)
3 × 4 = 12 and 4 × 3 = 12. The PRODUCT (answer) is the SAME. Draw 3 rows of 4 dots vs 4 rows of 3 dots — both have 12 dots total.
This halves the number of table facts to memorize. If you know 7×3=21, you also know 3×7=21.
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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT
Confusing 3 × 4 (3 groups of 4) with 4 × 3 (4 groups of 3) as 'different answers'
Both give 12. The meaning is different (3 groups of 4 vs 4 groups of 3), but the PRODUCT is the same. This is the commutative property — order doesn't change the answer.
WATCH OUT
Forgetting tables under pressure — mixing up 6×8=48 and 7×8=56
Table facts need DAILY practice — 5 minutes every day. Use songs, rhymes, flash cards, and oral quizzing. Don't cram the night before.
WATCH OUT
Adding instead of multiplying: 3 × 4, child writes 3 + 4 = 7
Multiplication is repeated ADDITION of the SAME number. 3 × 4 means 4 + 4 + 4 (add 4 three times), NOT 3 + 4. Draw groups to clarify.

Practice problems

Try each one yourself before tapping "Show solution". Active recall > rereading.

Q1EASY· Concept
Write 4 × 3 as repeated addition and find the answer.
Show solution
4 × 3 = 3 + 3 + 3 + 3 = 12. (4 groups of 3.)
Q2EASY· Tables
What is 7 × 8?
Show solution
7 × 8 = 56.
Q3EASY· Word Problem
One tricycle has 3 wheels. How many wheels do 6 tricycles have?
Show solution
6 × 3 = 18 wheels. (6 tricycles, each with 3 wheels.)
Q4EASY· Money
One pencil costs ₹4. How much do 8 pencils cost?
Show solution
8 × 4 = ₹32.
Q5MEDIUM· Apply
A classroom has 5 rows of desks. Each row has 6 desks. How many desks are there in total? Draw a picture to show your thinking.
Show solution
5 × 6 = 30 desks. Drawing: 5 rows, each with 6 desks. Counting all desks = 30. You could also think 6 × 5 = 30 (commutative property).

5-minute revision

The whole chapter, distilled. Read this the night before the exam.

  • Multiplication = repeated addition. 4 × 3 = 3 + 3 + 3 + 3 = 12
  • First number = number of groups. Second number = how many in each group
  • Tables 1-10 must be memorized. Start with 2, 5, 10 (easiest), then 3, 4, then 6-9
  • The order doesn't change the answer: 3 × 4 = 4 × 3 = 12 (commutative property)
  • Multiplication in daily life: total legs, total wheels, total cost, rows × columns
  • Multiplication makes adding the same number many times FASTER — that's its superpower

CBSE marks blueprint

Where the marks come from in this chapter — so you can plan your prep.

Typical chapter weightage: 6–8 marks in Class 3 Mathematics assessment

Question typeMarks eachTypical countWhat it tests
Direct multiplication / Fill tables (1 mark each)13–4Table facts (1-10); writing as repeated addition; filling missing numbers in table grids
Word problem (2 marks each)22Total legs/wheels/cost; rows × columns; real-world multiplication scenarios
Prep strategy
  • Tables are EVERYTHING. Practice daily: 5 minutes of oral quiz — '6×7? 8×4? 9×3?' — make it a game
  • Use table charts on the wall — children absorb passively by seeing them daily
  • Sing tables to tunes: 2× table to 'Twinkle Twinkle', 3× to 'Happy Birthday' — rhythm aids memory
  • Real-life multiplication: 'We have 4 family members. Each eats 2 rotis. How many rotis to make?'
  • Draw groups: for 3×4, draw 3 circles with 4 dots each. Visual = understanding beyond memorization
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Last reviewed on 30 May 2026. Written and reviewed by subject-matter experts — read about our process.
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