Multiplication Tricks

Multiplication tricks are required to calculate long and difficult multiplication problems. For single digit, 2-digit and even for 3-digit numbers, it is easy to do the multiplication. But for larger numbers which have more digits such as 4, 5, 6, 7,etc., it takes a long time to solve it. Therefore, we will learn here some magic maths multiplication tricks for fast calculation. These tricks can also be used to prepare for competitive exams.

In Maths, there is a number of arithmetic calculations or operations which includes multiplication and division, addition, subtraction, differentiation, integration, etc. Each calculation has its own method to calculate the relation between the numbers based upon the operation performed on them. Along with the methods, it is always useful to learn some multiplication tricks to save time.

What are Multiplicand and Multiplier?

It is necessary to know, what are the numbers called when we apply multiplication operation in them.

  • The multiplicand is the number which is being multiplied
  • The multiplier is the number which is multiplying the first number.

For example: In this operation, 45 × 20, 45 is the multiplicand and 20 is the multiplier.

Magic Math Tricks and Tips

Here are some tips and tricks with the help of which, you can easily solve multiplication problems. These tricks you can use in competitive exams as well. Let check the multiplication tricks for different numbers.

Multiplication by 2: It denotes to double a number.

For example; 5 × 2, here we have to double the number 5, so we can use addition method here, i.e.

5 + 5 = 10

Multiplication by 3: It denotes triple times of a number.

Example: 5 × 3 = 5 + 5 + 5 = 15

Multiplication by 4: It denotes double of a double number.

Example: 5 × 4: double of 5 is 10. Thus double of 10 is 20(10+10)

Multiplication by 5: If a number is multiplied by 5, then divide the number by 2 and multiply by 10.

Example: 8 × 5: 8 divide by 2 = 4, multiply 4 by 10, 4 × 10 = 40.

Multiplication by 8: Double → Again Double → Again Double

Example: 5 × 8: 5 + 5 = 10; 10 + 10 = 20; 20 + 20 = 40

Multiplication by 9: Add +1 to 9 and minus the number with itself, which is to be multiplied.

Example: 5 × 9: 9+1 × 5-5 = 10 × 5 – 5 = 50 -5 = 45

Multiplication Table

Multiplication method is basically designed to form tables of different numbers. It is always suggested for students to learn by heart the tables from 2 to 20 at least, which will help to solve multiplication problems very easily.

Let us create a table for multiplication of 2 to 10 numbers, which will help you to memorize the table.

1 2 3 4 5 6 7 8 9 10
2 4 6 8 10 12 14 16 18 20
3 6 9 12 15 18 21 24 27 30
4 8 12 16 20 24 28 32 36 40
5 10 15 20 25 30 35 40 45 50
6 12 18 24 30 36 42 48 54 60
7 14 21 28 35 42 49 56 63 70
8 16 24 32 40 48 56 64 72 80
9 18 27 36 45 54 63 72 81 90
10 20 30 40 50 60 70 80 90 100

With this table, you can see each number is appearing twice. There is a duplicate for each number inside the table. For example, 3 × 6 = 18 but also 6 × 3 = 18.

Learning from the table is the general trick of multiplication. Now let us learn about multiplying tricks of 4 digit numbers along with the general method and rounding up method.

General Method for Multiplication

In this method, we apply the simple procedure of multiplication.

For example 6780

× 2

————–

13560

So you can see there are only one digit multiplier and 4 digit multiplicand. Easily with the help of a table, you can solve such problems.

Rounding Up Method for Multiplication

In this method, we round up the complex numbers in the simple form to make the multiplication easier. Let us explain to you with example problems.

Multiplication Tricks for a 2-digit number

Example 1

58 ×2

Rounding the number 58 to 60,

60×2=120

Multiplying the rounded amount,

2×2=4

Subtracting 120-6=116

So, 116 is the final answer.

Example 2

26 × 22

If we right, 22 as 20+2 and then multiplying them separately,

26×20 and 26×2 and adding them.

26     26

×20 + ×2

—— ——

520  +   52     = 572

—— ——

So the answer for 26×22 is 572.

Multiplication Tricks for a 4-digit number

Let us take an example 4 digit numbers;

Suppose, Multiply 1004×1002

1004 can be written as 1000+4 &

1002 can be written as 1000+2.

1000       4

×1000 + ×2

———– ——

1000000 + 8 =  1000008

———– ——

So the answer for 1004 × 1002 is 1000008.

In the same way, you can practice more of multiplication problems by using these simple multiplication tricks.

Get more such tips and tricks to solve mathematical problems quickly and get interactive videos, by downloading BYJU’S App.

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