Math Concepts

Multiplication Table Chart : Easiest Way to Learn

June 2, 2020

Reading Time: 4 minutes

Multiplication is one of the main mathematical operations which is taught to students at an early age. This is considered to be one of the most difficult operations and research shows that people face difficulty while solving multiplication problems even when they grow up.

After counting and subtraction, students take the big jump towards multiplication. Multiplication, also known as product, is a shortcut towards adding a number. It refers to the number of times you need to add a number. For example, if we have to add the number 3, four times:-

Addition : 3+3+3+3 = 12

Multiplication : 4 times 3 or 3*4 = 12

At a young age, students are introduced to multiplication — something that is to be used by them in everyday life. Multiplication follows a particular pattern based on which there are different techniques of memorizing this concept. A simple approach to teaching students the concept of multiplication is through a multiplication chart or multiplication table chart. 

Tips to Memorize the Multiplication Tables

Here are some of the tips that will help students to memorize the multiplication tables or maths tables:

  1. Make a multiplication table chart

A large square must be divided into 20 columns and 20 rows. The heading must be filled from left to right and top to bottom from 1 to 20. In each square, multiply the number of the row with the number of the column. 

This multiplication chart should be placed somewhere where you will see it daily.

Make it a routine to go through this multiplication table chart daily. 

  1. Practice ‘skip-counting’

Start with a number and then keep adding that same number. For instance, if you start by 3, keep adding 3 every time to count. So you would say “3, 6, 9, 12…” and so on.

  1. Recite the multiplication table in order 

For instance, you would say “2 times 1 is 2, 2 times 2 is 4, 2 times 3 is 6,” and so on. Make it a practice to recite this table once daily until you master the structure that it follows.

  1. Practice reverse table recitation 

Learn to say the multiplication table backwards. Start from the bottom of the column. For instance, start with “2 times 20 is 40, 2 times 19 is 38,” and so on.

  1. Ask your elders to take random tests 

Once you master the recitation, it is very important to know whether you're able to quickly answer the multiplication or not. Therefore, ask your elders to give you random questions like “2 times 14 =??, 4 times 12 = ??,” and so on.

  1. Practice by writing

If you are facing difficulty memorizing the multiplication table, you always have the option of writing and learning. Make it a daily routine to write the multiplication tables and then recite it once.

  1. Apply multiplication to real-life 

Try to understand multiplication using real-life examples. You can also try practising multiplication during various instances, if possible. For example, multiplying the price of one product with the number of products or multiplying the amount by the number of notes in a bundle.

  1. Identify Patterns

Every multiplication table has its own pattern. It is very important to identify this pattern. It will help you to memorize the multiplication table faster. 

For example:-

Anything multiplied by zero is 0

Anything multiplied by 1 is the number itself

Anything multiplied by 10 just needs an additional 0 to the given number to get the result

The last digit of the result by multiplying five with an odd number will be 5 and with an even number it will be 0

Multiplication of an even number will always result in an even number

So, there may be plenty of these patterns in a multiplication table chart. You need to identify them and choose the best for you to memorize.

  1. Make tasks easy 

Remember, “3 times 7 and 7 times 3” means the same thing. So, a small portion of your load of memorizing the numbers gets reduced here. 

  1. Know the tricks 

Maths is full of shortcuts. Get aware of these impressive shortcuts and tricks. For instance:-

To memorize the 9's tables, use your fingers. For “9 times 1”, put one finger down. That becomes your result i.e. 9. For “9 times 2”, put your second finger down. So the tens place will gain a digit 1 and the units place will be the numbers remaining on the fingers i.e 8 and your result will be 18. For “9 times 3”, put your third finger down. So the tens place will have an increase of 1 and it becomes 2. The units place will be the numbers remaining on the fingers i.e 7 and your result will be 27. This will be followed up till 9*10 = 90.

There are various different tricks like this that can be made use of while learning the multiplication tables quickly and efficiently.

Here are a few basics that you should know before learning the multiplication tables:

  • Multiplication is repeated addition

multiplication is repeated addition

7 x 1 means 7 times 1, or 1 added 7 times.
Similarly, 7 x (any number) means 7 times that number or that number added 7 times.
Check if you notice a pattern in the rightmost column. In the number series, every successive number is 7 more than the previous number.
This helps to understand the pattern before learning to recite the table.

  • Demonstrate with the pictorial representation of a multiplication table

While reciting tables, the numbers seem too abstract. 7 twos are 14 while 2 sevens are also 14. The answers may be the same but essentially the representation is different. If you are able to visualise and compare the quantities you will see a pattern and know the difference. 

Once you understands these basics and knows what you are doing, challenge yourself to do it faster. 

Now keeping aside the basics, here are a few multiplication hacks:

  1. Let’s say you have to recite the table of 16.
    16 is nothing but 10+6
    16×1=(10+6)x1= 10+6=16
    16×2=(10+6)x2= 20+12=32
    16×3=(10+6)x3= 30+18=48
    16×4=(10+6)x4= 40+24=64, and so on.

    Such hacks easily work when you can breakdown the number into multiples of 10.

    Similarly 97×8, can be thought of as (100-3)x8= 800-24= 776
  2. An easy way to learn the multiplication table of 9
    9×1= 09
    9×2= 18
    9×3= 27
    9×4= 36
    9×5= 45
    The digit in the tens’ place increases by 1. Simultaneously, the digit in the ones’ place reduces by 1. Now to move forward, keep reversing the digits to complete the table till 10.

    9×6= 54 (reversing 45)
    9×7= 63 (reversing 36)
    9×8= 72 (reversing 27)
    9×9= 81 (reversing 18)
    9×10= 90 (reversing 09)
  3. Multiplication table of 11
    11×1= 11
    11×2= 22
    11×3= 33
    11×4 = 44, and so on..
    This works perfectly till 11×9.

We hope this small article will help all our students to learn the multiplication tables easily and efficiently. Cuemath comes up with regular such articles which provide our students with various tips and tricks to excel their knowledge and learnings. Our tips act as a guide for everyone who reads it, be it parents, teachers, or students. We support our students with regular assignments and problems which helps them develop their skills in mathematics. We also provide them with timely reviews and feedback so that they can work on their mistakes. Apart from this, what we believe is that maths is a fun subject. We aim towards making the careers of our students bright through developing a proper foundation for them. Contact us and stay updated with our articles and help your child learn, grow, and progress.

Happy studying!!

Best wishes!!

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