Multiplication Shortcut Tricks - Basic Math Tricks Part 3

Basic Tricks - PART-3

Multiplication Shortcut Tricks-2

Shortcut to Multiply 2 digit by 2 digit

You can always use the method that we are used to in our school days to multiply any two numbers if you have sufficient time. But bank exams is all about answering maximum number of questions accurately in limited time.
How efficiently you manage time depends on how well you can apply the shortcut tricks that you learnt and practiced.


Here is a shortcut to multiply any 2 digit number by a 2 digit number within seconds.

Let us see the steps to multiply a 2 digit number by a 2 digit number
Step 1:Multiply the ten's place digit of the 1st number with ten's place digit of the 2nd number to get the ten's place digit of your answer.

Step 2:Leave a blank space in between.Now multiply the unit's place digit of the 1st number with the unit's place digit of the 2nd number to get the unit's place digit of your answer.

Step 3:Find the product of the inside numbers and the product of the extremes and add both and insert the digit in the blank space.

Let us consider an example to understand better

Example 1: 41 x 31=?

Step 1:Multiply unit's place digit of both the numbers as shown below
          1 x 1=1

Step 2:Find the product of inside numbers(1 x 3=3)

           Find the product of extremes (4 x 1=4)

           Now adding the product of inside numbers and extremes 

           we get,

           (1 x 3)+(4 x 1)=3+4=7

          

          The middle digit is 7 

Step 3:Multiply ten's place digit of both the numbers as shown     below

          4 x 3=12 

          

Ans:    41 x 31=1271

Example 2: 46 x 36=?

Step 1:Multiply unit's place digit of both the numbers as shown below to get the unit's place digit which is 6

          6 x 6=36

Here we are getting 2 digit number on multiplication, we will keep the unit's place digit and add ten's place digit(3) to step 2

Step 2:Find the product of inside numbers(6 x 3=18)

           Find the product of extremes (4 x 6=24)

           Now adding the product of inside numbers and extremes 

           we get,

           18+24=42

          Now we shall add the ten's place digit we got from step 1. 

          42+3=45

          We shall keep unit's place digit and add ten's place digit(4) to    

Step 3:Multiply ten's place digit of both the numbers as shown below

          4 x 3=12 

          Adding ten's place digit from step 2 we get

          12+4=16

          

Ans:    46 x 36=1656

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Shortcut to multiply any 2 digit number by 125

I can multiply any 2 digit number by 125 in seconds. So can you! Use this amazing shortcut trick to get the answer you needed in seconds.

Let us go through the steps below

Step 1:Divide the given number by 8.
Step 2:Now multiply the result obtained in step 1 by 1000 to get your answer.

Let us now consider a few examples to understand better

Example 1:24 x 125 = ?

Step 1:Dividing 24 by 8
           we get 24/8=3

Step 2:Multiplying result obtained in step 1
           we get 3 x 1000 = 3000

Ans    24 x 125 = 3000

Example 2: 64 x 125 = ?

Step 1:Dividing 64 by 8
           we get 64/8=8

Step 2:Multiplying result obtained in step 1
           we get 8 x 1000 = 8000

Ans    64 x 125 = 8000

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Shortcut to multiply any 2 digit number by 15

Another amazing way to multiply a 2 digit number by 15. I especially love to use this trick when the given number is easily divisible by 2.

Lets now go through the steps

Step 1: Find half of the given number.

Step 2:Now add the given number and the result obtained in step 1.

Step 3:Multiply the result obtained in step 2 by 10.

Now let us consider a few examples to understand better

Example 1: 12 x 15 = ?

Step 1:We find that half of the number is
            12 /2 = 6

Step 2: Adding the given number and the result obtained in step 1
            we get 12 + 6 = 18

Step 3:Multiplying the result obtained in step 2 by 10
            we get 180

Ans 12 x 15 = 180

Example 2:48 x 15 = ?

Step 1:We find that half of the number is
            48 /2 = 24

Step 2: Adding the given number and the result obtained in step 1
            we get 48 + 24 = 72

Step 3:Placing zero next to step 2 
            we get 720

Ans 48 x 15 = 720 

Now you try applying this trick to multiply 25, 72 ,43,57 by 15 in secs

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Shortcut to multiply any 2 digit number by 11

Multiplying any 2 digit number by 11 is the easiest when you know this trick.

Let us now quickly go through the steps

Step 1: Enter the unit’s place digit as it is. This will be the last digit of your answer.

Step 2: Enter the ten’s place digit leaving a blank in between for the middle digit.

Step 3: To find the middle digit, add unit’s place digit and ten’s place digit and input the digit in the blank.

NOTE: On adding if you arrive at a 2 digit number then, input only the unit’s place of the middle digit in the blank and add the ten’s place digit of the middle digit to the original ten’s place digit of the number.

Let me explain with an example to make it easy to understand

Example 1: 42 X 11 

Step 1: Here the unit’s place digit is 2 which we will enter as it is i.e 2

Step 2: Here the ten’s place digit is 4, so we input it as follows leaving a blank between the unit’s place digit and the ten’s place digit for the middle digit.

 4_2

Step 3: Now, By adding unit’s place digit and ten’s place digit (4+2=6)we get the middle digit as 6 which we shall enter in the blank as follows.

462

Ans : 42x11=462

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Shortcut to multiply any 2 digit number by 111

This is one of those awesome tricks that you can use to quickly multiply any 2 digit number by 111.
Let us see few more examples to see how this works

Example 1:13 x 111 = ?

Step 1:Writing down unit place digit and tenth place digit with
            2 blanks in between them.We get 1_ _ 3

Step 2: Adding unit place digit and tenth place digit
            we get 1 + 3 = 4
            Inserting the sum in between the unit place digit and
            tenth place digit we get 1_ 4 3

Step 3: Again adding unit place digit and tenth place digit
            we get 1 + 3 = 4
            Inserting the sum we get 1 4 4 3

            13 x 111 = 1443


Example 2:14 x 111 = ?

Step 1:Writing down unit place digit and tenth place digit with
            2 blanks in between them.We get 1_ _ 4

 Step 2: Adding unit place digit and tenth place digit
             we get 1 + 4 = 5
           Inserting the sum in between the unit place digit and
           tenth place digit we get 1_ 5 4        

Step 3: Again adding unit place digit and tenth place digit
             we get 1 + 4 = 5
            Inserting the sum we get 1 5 5 4

            14 x 111 = 1554



Now you try multiplying the following in 5 secs
(a)15 x 111 = ?
(b)16 x 111 = ?
(c)17 x 111 = ?
(d)18 x 111 = ?

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Shortcut to multiply any number from 10-19 by 5

Whenever you want to multiply any 2 digit number by 5, this trick is simply amazing to use.We shall learn this trick using an example.

Suppose we want to multiply 16 by 5
Step 1:Assume the closest round number as base
           In our example,we can assume 10 as base.

Step 2:Multiply the base by 5.
            We get 10 x 5 = 50

Step 3:Now multiply unit place digit by 5
            We get 6 x 5 = 30

Step 4:Add result obtained in step 2 and step 3
            We get 50 + 30 = 80

Ans 16 x 5 = 80

Lets see another example

Example 2:17 x 5=?

Step 1:Assuming 10 as base

Step 2:Multiplying the base by 5
           We get 10 x 5 = 50

Step 3:Multiplying the unit place digit by 5
          We get 7 x 5 = 35

Step 4:Adding step 2 and step 3
           We get 50 + 35 = 85

Ans 17 x 5 = 85

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Shortcut to multiply any number from 20-29 by 5

In the previous post we learnt how to multiply any number from 10 to 19 by 5 in seconds.Today we are going to learn another cool trick to multiply any number from 20 to 29 by 5 in seconds.

Let us see the steps

Step 1: Assume the base as 20

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3

Now lets consider a few examples to understand better

Example 1:21 x 5 = ?

Step 1:We assume the base as 20.

Step 2:Multiplying the base by 5
          We get 20 x 5 = 100

Step 3:Multiplying the unit place digit by 5
          We get 1 x 5 = 5

Step 4:Adding results obtained in step 2 and step 3
           We get 100 + 5 = 105

Ans 21 x 5 = 105

Example 2:26 x 5 = ?

Step 1:We assume the base as 20.

Step 2:Multiplying the base by 5
          We get 20 x 5 = 100

Step 3:Multiplying the unit place digit by 5
          We get 6 x 5 = 30

Step 4:Adding results obtained in step 2 and step 3
           We get 100 + 30 = 130

Ans 26 x 5 = 130

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Shortcut to multiply any number from 30-39 by 5

In the previous post we learnt how to multiply any number from 20 to 29 by 5 in seconds.Today we are going to learn another amazing trick to multiply any number from 30 to 39 by 5 in seconds.

Let us see the steps

Step 1: Assume the base as 30

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get final answer.

Now lets consider a few examples to understand better

Example 1:32 x 5 = ?

Step 1:We assume the base as 30.

Step 2:Multiplying the base by 5
          We get 30 x 5 = 150

Step 3:Multiplying the unit place digit by 5
          We get 2 x 5 =10

Step 4:Adding results obtained in step 2 and step 3
           We get 150 + 10 = 165

Ans 32 x 5 = 165

Example 2:37 x 5 = ?

Step 1:We assume the base as 30.

Step 2:Multiplying the base by 5
          We get 30 x 5 = 150

Step 3:Multiplying the unit place digit by 5
          We get 7 x 5 = 35

Step 4:Adding results obtained in step 2 and step 3
           We get 150 + 35 = 185

Ans 37 x 5 = 185

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Shortcut to multiply any number from 40-49 by 5

In the previous post we learnt how to multiply any number from 30 to 39 by 5 in seconds.Today we are going to learn another amazing trick to multiply any number from 40 to 49 by 5 in seconds.

Let us see the steps 

Step 1: Assume the base as 40

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get final answer.

Now lets consider a few examples to understand better

Example 1:43 x 5 = ?

Step 1:We assume the base as 40.

Step 2:Multiplying the base by 5
          We get 40 x 5 = 200

Step 3:Multiplying the unit place digit by 5
          We get 3 x 5 =15

Step 4:Adding results obtained in step 2 and step 3
           We get 200 + 15 = 215

Ans 43 x 5 = 215

Example 2:48 x 5 = ?

Step 1:We assume the base as 40.

Step 2:Multiplying the base by 5
          We get 40 x 5 = 200

Step 3:Multiplying the unit place digit by 5
          We get 8 x 5 = 40

Step 4:Adding results obtained in step 2 and step 3
           We get 200 + 40 = 240

Ans 48 x 5 = 240

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Shortcut to multiply any number from 50-59 by 5

In the previous post we learnt how to multiply any number from 40 to 49 by 5 in seconds.Today we are going to learn another amazing trick to multiply any number from 50 to 59 by 5 in seconds.

Let us see the steps 

Step 1: Assume the base as 50

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get final answer.

Now lets consider a few examples to understand better

Example 1:51 x 5 = ?

Step 1:We assume the base as 50.

Step 2:Multiplying the base by 5
          We get 50 x 5 = 250

Step 3:Multiplying the unit place digit by 5
          We get 1 x 5 =5

Step 4:Adding results obtained in step 2 and step 3
           We get 250 + 5 = 255

Ans 51 x 5 = 255

Example 2:56 x 5 = ?

Step 1:We assume the base as 50.

Step 2:Multiplying the base by 5
          We get 50 x 5 = 250

Step 3:Multiplying the unit place digit by 5
          We get 6 x 5 = 30

Step 4:Adding results obtained in step 2 and step 3
           We get 250 + 30 = 280

Ans 56 x 5 = 280

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Shortcut to multiply any number from 60-69 by 5

In the previous post we learnt how to multiply any number from 50 to 59 by 5 in seconds.Today we are going to learn another amazing trick to multiply any number from 60 to 69 by 5 in seconds.

Let us see the steps 

Step 1: Assume the base as 60

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get
            final answer.

Now lets consider a few examples to understand better

Example 1:62 x 5 = ?

Step 1:We assume the base as 60.

Step 2:Multiplying the base by 5
          We get 60 x 5 = 300

Step 3:Multiplying the unit place digit by 5
          We get 2 x 5 =10

Step 4:Adding results obtained in step 2 and step 3
           We get 300 + 10 = 310

Ans 62 x 5 =310

Example 2:67 x 5 = ?

Step 1:We assume the base as 60.

Step 2:Multiplying the base by 5
          We get 60 x 5 = 300

Step 3:Multiplying the unit place digit by 5
          We get 7 x 5 = 35

Step 4:Adding results obtained in step 2 and step 3
           We get 300 + 35 = 335

Ans 67 x 5 =335

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Shortcut to multiply any number from 70-79 by 5

In the previous post we learnt how to multiply any number from 60 to 69 by 5 in seconds.Today we are going to learn another amazing trick to multiply any number from 70 to 79 by 5 in seconds.

Let us see the steps 

Step 1: Assume the base as 70

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get
            final answer.
Now lets consider a few examples to understand better

Example 1:73 x 5 = ?

Step 1:We assume the base as 70.

Step 2:Multiplying the base by 5
          We get 70 x 5 = 350

Step 3:Multiplying the unit place digit by 5
          We get 3 x 5 =15

Step 4:Adding results obtained in step 2 and step 3
           We get 350 + 15 = 365

Ans 73 x 5 =365

Example 2:79 x 5 = ?

Step 1:We assume the base as 70.

Step 2:Multiplying the base by 5
          We get 70 x 5 = 350

Step 3:Multiplying the unit place digit by 5
          We get 9 x 5 = 45

Step 4:Adding results obtained in step 2 and step 3
           We get 350 + 45 = 395

Ans 79 x 5 =395

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Shortcut to multiply any number from 80-89 by 5

In the previous post we learnt how to multiply any number from 70 to 79 by 5 in seconds.Today we are going to learn another cool trick to multiply any number from 80 to 89 by 5 in seconds.

Let us see the steps 

Step 1: Assume the base as 80

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get 
            final answer.

Now lets consider a few examples to understand better

Example 1:82 x 5 = ?

Step 1:We assume the base as 80.

Step 2:Multiplying the base by 5 
          We get 80 x 5 = 400

Step 3:Multiplying the unit place digit by 5
          We get 2 x 5 =10

Step 4:Adding results obtained in step 2 and step 3 
           We get 400 + 10 = 410

Ans 82 x 5 =410

Example 2:87 x 5 = ?

Step 1:We assume the base as 80.

Step 2:Multiplying the base by 5 
          We get 80 x 5 = 400

Step 3:Multiplying the unit place digit by 5
          We get 7 x 5 = 35

Step 4:Adding results obtained in step 2 and step 3 
           We get 400 + 35 = 435

Ans 87 x 5 =435

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2 digit multiplication trick whose tens digit is same

You must be wondering we have learnt so many multiplication tricks for 2 digit numbers,so how is this going to be helpful.Well, Knowing new tricks and where the trick can applied to get the answer quickly can make all the difference. 

Condition to apply this trick is 

When the ten's place digit is same and the unit's place digits add up to 10 then you can apply a shortcut trick to easily multiply any 2 digit numbers. 

Now,let us see the steps in detail
Step 1:To get the unit's place digit multiply the unit's place digit of the both the numbers.

Step 2:To get the ten's place digit multiply the ten's place digit with its consecutive(next) number.

Step 3:Place the result obtained in step 2 to the left of the result obtained in step 1.

Let us now practice some examples

Example 1: 26 x 24=?

We observe that ten's place digit of both numbers=2
and by adding unit's place digit of both numbers(6+4=10)we get 10
Step 1:Multiplying the unit's place digits we get
Unit's place digit=6 x 4=24
Step 2:Multiplying ten's place digit by its consecutive number we get
Ten's place digit=2 x 3=6
Step 3:Placing the result of step 2 to the left of the result obtained in step 1 we get
624

Ans  26 x 24=624

Example 1: 43 x 47=?

We observe that ten's place digit of both numbers=4
and by adding unit's place digit of both numbers(3+7=10)we get 10
Step 1:Multiplying the unit's place digits we get
Unit's place digit=3 x 7=21

Step 2: Multiplying ten's place digit by its consecutive number we get
Ten's place digit=4 x 5=20

Step 3:Placing the result of step 2 to the left of the result obtained in step 1 we get
2021

Ans  43 x 47=2021

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Shortcut to multiply any 2 numbers whose difference is 2

Today you will be learning another amazing shortcut way of multiplying any 2 numbers.This trick is especially effective to use when the number in between the 2 numbers to be multiplied is 5.You will see why......

Let us go through the steps 

Step 1:Identify the number in between the 2 numbers.

Step 2:Find the square of the number identified in step 1.

Step 3:Subtract 1 from the result obtained in step 2.


Let us now consider few examples to understand better

Example 1:12 x 14=?

Notice that there is difference of 2 between the numbers 12 and 14.

We shall now apply the trick that we learnt 
Step 1:We find that 13 lies in between 12 and 14.

Step 2:Squaring 13 we get
           13²=169

Step 3:Subtracting 1 from the result obtained in step 2 
          We get 169 -1=168

Ans 12 x 14=168

Example 2:24 x 26=?

Step 1:We find that 25 lies in between 24 and 26.

Step 2:Squaring 25 we get
            25²=625
            (Use the shortcut trick to square any number ending in 5)

Step 3:Subtracting 1 from the result obtained in step 2 
          We get 625 -1=624

Ans 24 x 26=624

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3 digit multiplication trick in banking

A person who knows math tricks certainly has an edge over the others.With the ability to rapid do mental calculation one will not only be able to score higher marks in competitive exams but will also enhance his mental sharpness enormously. Its fun to calculate this way after all, steps of calculation need not be shown on paper!

Below we shall discuss one such multiplication trick wherein you will be able to multiply any two 3 digit numbers easily within seconds.
One thing to remember here is that both the numbers should be close to 100.The closer they are the easier it is to multiply.

Here are steps to do the 3 digit multiplication in detail

Step 1:Find the difference of each of the numbers from 100
Step 2:Multiply the differences that you found in step 1 to get the unit's place digit
Step 3:Add the differences of both the numbers to 100 and place them to the left of the result obtained in step 2.

Let us now consider an example to understand better

Example 1: 102 x 103

Here we notice that both the numbers are close to 100
We shall apply the technique that we learnt 

Step 1:First we find the differences of the numbers
We observe that 
102 is 2 more than 100 so the difference is 2
103 is 3 more than 100 so the difference is 3

Step 2:Multiplying the differences 
we get,
2 x 3=6 which is the unit's place digit.

Step 3:Now to find the rest of the number adding the differences to 100 
we get,
2+3+100=105

Placing 105 to the left of the result obtained in step 2(6)
we get 
102 x 103=10506

Ans 10506

Try multiplying the below numbers using the above trick and see how fast you are able to do it
(1)101 x 102
(2)102 x 104
(3)103 x 104
(4)104 x 105
(5)105 x 106
(6)106 x 107
(7)107 x 108
(8)108 x 109

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Shortcut to multiply any 3 digit number by 111

In my previous post, we learnt how the multiply any 2 digit number by 111.Today we shall see the shortcut way to multiply any 3 digit number by 111.

Lets go through the steps below

Step 1:Write down the unit place digit of the 3 digit number.

Step 2:Add unit place digit and tenth place digit and write down the number to the left of the unit place digit number.

Step 3:Add unit place digit, tenth place digit and hundreth place digit and write down the number.

Step 4:Add tenth place digit and hundredth place digit and write down the number.

Step 5:Write down the hundredth place digit.

Now, we shall consider some examples to understand better.

Example 1:123 x 111=?

Step 1:Unit place digit is 3 which we write it down as it is.
             _ _ _ _ 3

Step 2:Adding unit place digit and tenth place digit 
            We get 3 + 2=5
             _ _ _ 53
  
Step 3:Adding all the three digits 
            We get 3 + 2 + 1=6
              _ _ 6 53

Step 4:Adding tenth and hundredth place digit 
            We get 2 + 1=3
             _ 3 6 53

Step 5:Hundredth place digit  is 1 which we shall write it down.
            We get 13653

Ans 123 x 111=13653

Example 2:234 x 111=?

Step 1:Unit place digit is 4 which we write it down as it is.
             _ _ _ _ 4

Step 2:Adding unit place digit and tenth place digit 
            We get 4 + 3=7
             _ _ _ 73
  
Step 3:Adding all the three digits 
            We get 4 + 3 + 2=9
              _ _ 9 73

Step 4:Adding tenth and hundredth place digit 
            We get 3 + 2=5
              _ 5 9 73

Step 5:Hundredth place digit is 2 which we shall write it down.
            We get 25974

Ans: 234 x 111=25974

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Shortcut to Multiply Any Number from 10-19 by 6

Today we shall see a new trick to multiply any number from 10-19  by 6 in seconds

Let us see the steps

Step 1:Assume 10 as base

Step 2:Multiply the base by 6

Step 3:Multiply the unit place digit by 6

Step 4:Add the results obtained in step 2 and step 3 to get your answer

Now, Let us consider an example to understand better

Example 1:14 x 6=?

Step 1: Assuming base as 10

Step 2:Multiplying the base by 10 

          We get, 10 x 6= 60

Step 3:Multiplying the unit place digit by 6 

          We get, 4 x 6=24

Step 4:Adding results of step 2 and step 3

           We get, 60 + 24 = 84

Ans 14 x 6 = 84