Multiplication is one of four basic rules of mathematics (addition, subtraction, multiplication, and division). A multiplication table is used to get the product of two numbers. If we learn the basic concept of multiplication, it should be very interesting to solve any multiplication.
In this post, we learn about the definition, notation, rules, and how to find the multiplication table.
What is a Multiplication table?
In mathematics, a multiplication table is a mathematical table used to define a multiplication operation for an algebraic operation. It is also known as a times table. In simple algebra, multiplication is the process of calculating the results when a number is taken times. The result of the multiplication is called product and each number is known as the factors of the product.
Multiplication sign also known as times sign or dimension sign is the symbol x used in mathematics to denote the multiplication operation and its resulting product.
We can also use the multiplication chart. A multiplication chart is a table that shows the product of two numbers.
A 12×12 multiplication table is given below.
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
2 | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 |
3 | 0 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
4 | 0 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 |
5 | 0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
6 | 0 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 66 | 72 |
7 | 0 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 |
8 | 0 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 |
9 | 0 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 |
10 | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 |
11 | 0 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 | 121 | 132 |
12 | 0 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 |
We can use the multiplication chart up to infinite numbers but here we made a multiplication chart for few tables in order to understand the main concept of the multiplication chart.
RS Aggarwal Solution
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Rules of multiplication table
Some basic rules are very important in the multiplication table.
- Any number multiplied by zero is zero e.g., 2×0 = 0, 5×0 = 0, 100×0 = 0.
- Any number multiplied by one stays the same or give the result itself e.g., 2×1 = 2, 5×1 = 5, 100×1 = 100.
- When a number is multiplied by two, we are doubling that number e.g., 2×2 = 4, 5×2 = 10, 100×2 = 200.
- When a number is multiplied by ten, we simply write zero at the end of that number e.g., 2×10 = 20, 5×10 = 50.
- When a number is multiplied by a hundred, we simply write two zeros at the end of that number, and in the case of a thousand we simply write three zeros at the end of that number.
Tips for students
Many educators believe it is necessary to memorize the table up to 9×9. You should learn l, 2, 5, and 10 times tables first. These tables are pretty easy to learn for the students as these tables are simple as compared to others. After this, you should learn 3, 4, 6, 7, 8, 9 times tables. If you want to learn and practice the multiplication tables, use an online multiplication table whichwill help you learn and practice the times tables easily.
Reference Book Solutions
- Video Lectures
- MP Board Solution
- Study Material
- Kerala State Syllabus
- Careers
- Vedic Maths
- Revision Notes
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- RS Aggarwal Solutions
How to learn times tables?
If you want to work out the times table for 2, start with 2 and then add 2 in each step. The result obtained in every step is a multiple of 2 and is known as multiplication fact.
- 2 x 1 = 2
- 2 x 2 = 4
- 2 x 3 = 6
- 2 x 4 = 8
- 2 x 5 = 10
- 2 x 6 = 12
- 2 x 7 = 14
- 2 x 8 = 16
- 2 x 9 = 18
- 2 x 10 = 20
If you want to work out the times table for 5, start with 5 and then add 5 in each step. The result obtained in every step is a multiple of 5.
If you want to work out the times table for 10, start with10and then add 10 in each step. The result obtained in every step is a multiple of 10.
Benefits of learning Multiplication table
Learning basic multiplication tables will make it easier to learn more challenging ones e.g. if kids know their 2 times table, they will be able to work out their 4 times table by doubling the results.
- 2 x 1 = 2 4 x 1 = 4
- 2 x 2 = 4 4 x 1 = 8
- 2 x 3 = 6 4 x 1 = 12
- 2 x 4 = 8 4 x 1 = 16
- 2 x 5 = 10 4 x 1 = 20
- 2 x 6 = 12 4 x 1 = 24
- 2 x 7 = 14 4 x 1 = 28
- 2 x 8 = 16 4 x 1 = 32
- 2 x 9 = 18 4 x 1 = 36
- 2 x 10 = 20 4 x 1 = 40
When kids successfully recall their time tables they will grow in confidence, which will not only tackle more challenging math problems but will help to keep them motivated and engaged across other objects too.
Recalling times tables improves memory skills, which is a transferrable skill that will help kids throughout school and into adult life.
Kids will find it easier to solve math problems and to do mental arithmetic if they have already memorized their times tables.
Multiplication is used throughout adulthood, whether it is working out price reductions, doubling recipes, or splitting bills.
Summary
In this post, we have learned the definition of multiplication tables, rules, and some basic concepts. Once you grab the knowledge of this topic you will be master in it.