Mathematics

Multiplication Tables

Class 4 | CBSE / NCERT / ICSE

๐ŸŽฏ Learning Objectives

๐Ÿ“– Let Us Begin!

Multiplication tables are the building blocks of mathematics. Knowing your tables from 2 to 12 by heart helps you solve problems quickly -- whether you are calculating the cost of 7 notebooks at Rs 12 each or finding the total number of sweets in 9 packets of 11.

Let us revise all tables and discover some amazing patterns hidden inside them!

Image needed: A colourful multiplication grid/chart showing tables from 2 to 12. Each row and column labelled. Highlighted cells at intersections. Title: "Multiplication Table Chart (2 to 12)".
Style: flat illustration, child-friendly, colourful
Size: 800ร—500px

Complete Multiplication Tables (2 to 12)

x23456789101112
123456789101112
24681012141618202224
369121518212427303336
4812162024283236404448
51015202530354045505560
61218243036424854606672
71421283542495663707784
81624324048566472808896
918273645546372819099108
102030405060708090100110120

Amazing Patterns in Tables

Pattern 1: Table of 9 -- Digit Sum

In the table of 9, the sum of the digits of every product is always 9.

Example
Example: Table of 9 Digit Sums

9 x 1 = 9 (digit sum: 9) | 9 x 2 = 18 (1+8 = 9) | 9 x 3 = 27 (2+7 = 9)

9 x 4 = 36 (3+6 = 9) | 9 x 5 = 45 (4+5 = 9) | 9 x 6 = 54 (5+4 = 9)

Also notice: the tens digit goes up (1, 2, 3, 4...) and the ones digit goes down (8, 7, 6, 5...).

Pattern 2: Table of 11

For 11 x 1 to 11 x 9, the product is the digit repeated twice: 11, 22, 33, 44, 55, 66, 77, 88, 99.

Example
Example: Table of 11

11 x 3 = 33 | 11 x 7 = 77 | 11 x 10 = 110 (the pattern changes after 9).

Pattern 3: Table of 12

The table of 12 is easy if you know tables of 10 and 2. Simply add them!

Example
Example: 12 x 7

10 x 7 = 70 and 2 x 7 = 14. So 12 x 7 = 70 + 14 = 84.

๐Ÿ“ Key Words

WordMeaning
Multiplication TableA list of multiples of a number (e.g., 3, 6, 9, 12... for table of 3)
MultipleThe result when a number is multiplied by a whole number
ProductThe answer you get when two numbers are multiplied
Digit SumThe sum of all digits of a number (e.g., digit sum of 27 is 2+7 = 9)
PatternA rule that repeats in a predictable way
โญ Key Points to Remember

Finished learning? Now test what you know!