GK & Math Shortcut Tricks in hindi 2020 Latest
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PART-10
Math Tricks: Multiplication of Less than 100-base Number Tricks
Math Tricks: Multiplication of Less than 100-base Number Tricks
Multiplication of less than 100-base Number tricks
94 x 95 = 8930
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 6 from 100 and 2nd number is 5 less from 100,
Step 2: We just multiply the less numbers,(6 x 5) = 30.
Step 3: And now we need to do is add the less numbers that is ( 5 + 6) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8930.
Multiplication of less than 100-base Number tricks
91 x 92 = 8372
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 9 from 100 and 2nd number is 8 less from 100,
Step 2: We just multiply the less numbers,(9 x 8) = 72.
Step 3: And now we need to do is add the less numbers that is ( 9 + 8) = 17,
Step 4: And subtract 17 from 100 that is ( 100 – 17 ) = 83.
so the result is 8372.
Multiplication of less than 100-base Number tricks
93 x 96 = 8928
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 7 from 100 and 2nd number is 4 less from 100,
Step 2: We just multiply the less numbers,(7 x 4) = 28.
Step 3: And now we need to do is add the less numbers that is ( 7 + 4) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8928.
Multiplication of less than 100-base Number tricks
89 x 83 = 7387
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 11 from 100 and 2nd number is 17 less from 100,
Step 2: We just multiply the less numbers,(11 x 17) = 187, (note down 87 and carry 1).
Step 3: And now we need to do is add the less numbers that is ( 11 + 17) = 28,
Step 4: And subtract 28 from 100 and Add carry that is ( 100 – 28 ) + 1 = 73.
so the result is 7387
Math Tricks: Multiplication of numbers New type Shortcut Tricks
Math Tricks: Multiplication of numbers New type Shortcut Tricks
Multiplication of numbers new type shortcut tricks
94 x 96 = 9024
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (4 + 6) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (4 x 6) = 24 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 9 x 10 ) = 90 note down.
So the result is 9024.
Multiplication of numbers new type shortcut tricks
87 x 83 = 7221
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (7 + 3) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (7 x 3) = 21 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 8 x 9 ) = 72 note down.
So the result is 7221.
Multiplication of numbers new type shortcut tricks
62 x 68 = 4216
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 6 x 7 ) = 42 note down.
So the result is 4216.
Multiplication of numbers new type shortcut tricks
102 x 108 = 11016
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 10 x 11 ) = 110 note down.
So the result is 11016.
Math Tricks: Multiplication a number with 99
Math Tricks: Multiplication a number with 99
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.
Step 2: Multiply 69*99 = 6900 – 69 = 6832
So the answer is 6832.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.
Step 2: Multiply 79*99 = 7900 – 79 = 7821
So the answer is 7821.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.
Step 2: Multiply 59*99 = 5900 – 59 = 5841
So the answer is 5841.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.
Step 2: Multiply 47*99 = 4700 – 47 = 4653
So the answer is 4653.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.
Step 2: Multiply 64*99 = 6400 – 64 = 6336.
So the answer is 6336.
Math Tricks: Multiplying Numbers Ending with Zero
Math Tricks: Multiplying Numbers Ending with Zero
Multiplying Numbers Ending with Zero
Example1: 45,000 x 9,000,000
Answer: At First we ignored the All Zeros and multiplying the numbers without Zeros So, Number Become 45 x 9 = 405,
Now Affix the Sum of all ignored Zeros Like here is 9 Zeros So, 405,000,000,000 .
Example 2: 9800 x 300
Answer: Similarly At First we ignored the All Zeros and multiplying the numbers without Zeros So,98 x 3 = 294,
Now Affix the Sum of all ignored Zeros Like here is 4 Zeros So, 2,94,000 .
Example 3: 999000 x 888000
Answer : Similarly we follow above Rule, 887112000000 .
Example 4: 333300 x 7700
Answer : Similarly we follow above Rule, 2566410000 .
Example 5: 1100 x 220000000
Answer : Similarly we follow above Rule, 242000000000 .
Math Tricks: Shortcut to Multiply 2 digit by 2 digit
Math Tricks: Shortcut to Multiply 2 digit by 2 digit
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
Answer: 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
Answer: 46 x 36=1656
Math Tricks: Shortcut to multiply any 2 digit number by 125
Math Tricks: Shortcut to multiply any 2 digit number by 125
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
Answer: 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
Answer: 64 x 125 = 8000
Math Tricks: Shortcut to multiply any 2 digit number by 15
Math Tricks: Shortcut to multiply any 2 digit number by 15
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
Answer: 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
Answer: 48 x 15 = 720
Now you try applying this trick to multiply 25, 72 ,43,57 by 15 in secs
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
Answer : 42x11=462
Math Tricks: Shortcut to multiply any 2 digit number by 11
Math Tricks: Shortcut to multiply any 2 digit number by 11
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
Answer : 42x11=462
Math Tricks: Shortcut to multiply any 2 digit number by 111
Math Tricks: Shortcut to multiply any 2 digit number by 111
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 now go through the steps
Step 1:Write down the unit place digit and the tenth place digit of the 2 digit number as follows
Step 2: Add the unit place digit and tenth place digit (2 + 1 = 3) and insert the sum as follows
Step 3:Repeat step 2 (2 + 1=3)and insert the sum as follows
12 x 111 = 1332
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 = ?
Math Tricks: Shortcut to multiply any number from 10-19 by 5
Math Tricks: Shortcut to multiply any number from 10-19 by 5
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.
Example 1: 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
Answer: 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
Answer: 17 x 5 = 85
Math Tricks: Shortcut to multiply any number from 20-29 by 5
Math Tricks: Shortcut to multiply any number from 20-29 by 5
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
Answer: 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
Answer: 26 x 5 = 130
Math Tricks: Shortcut to multiply any number from 30-39 by 5
Math Tricks: Shortcut to multiply any number from 30-39 by 5
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
Answer: 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
Answer: 37 x 5 = 185
Math Tricks: Shortcut to multiply any number from 40-49 by 5
Math Tricks: Shortcut to multiply any number from 40-49 by 5
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
Answer: 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
Answer: 48 x 5 = 240
Math Tricks: Shortcut to multiply any number from 50-59 by 5
Math Tricks: Shortcut to multiply any number from 50-59 by 5
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
Answer: 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
Answer: 56 x 5 = 280
Math Tricks: Shortcut to multiply any number from 60-69 by 5
Math Tricks: Shortcut to multiply any number from 60-69 by 5
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
Answer: 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
Answer: 67 x 5 =335
Math Tricks: Shortcut to multiply any number from 70-79 by 5
Math Tricks: Shortcut to multiply any number from 70-79 by 5
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
Answer: 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
Answer: 79 x 5 =395
Math Tricks: Shortcut to multiply any number from 80-89 by 5
Math Tricks: Shortcut to multiply any number from 80-89 by 5
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
Answer: 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
Answer: 87 x 5 =435
Math Tricks: 2 digit multiplication trick whose tens digit is same
Math Tricks: 2 digit multiplication trick whose tens digit is same
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
Answer: 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
Answer: 43 x 47=2021
Math Tricks: Shortcut to multiply any 2 numbers whose difference is 2
Math Tricks: Shortcut to multiply any 2 numbers whose difference is 2
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
Answer: 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
Answer: 24 x 26=624
Math Tricks: 3 digit multiplication trick in banking
Math Tricks: 3 digit multiplication trick in banking
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
Answer: 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
Math Tricks: Vedicmath trick to multiply 3 digit by 3 digit
Math Tricks: Vedicmath trick to multiply 3 digit by 3 digit
Vedicmath trick to multiply 3 digit by 3 digit
Three digit multiplication is not a difficult task as much as we all dread.In fact, you will enjoy doing 3 digit multiplication once you know this amazing trick. Take your time to understand the technique and practice a lot until you master the technique.Because it so happens that we read a lot of tricks and techniques but can't remember the exact technique during exam and feel so helpless.You don't want to be that person!
Let us understand the technique using an example
Suppose we want to multiply 121 by 310.
Step 1: First multiply the unit digits of both the numbers.
We get 0 x 1= 0 as shown below
Step 2: Now multiply unit digit of second number(310) with tenth digit of 1st number(121) and also multiply unit digit of first number(121) with tenth digit of 2nd number(310) and add the resulting products.
We get,(0 x 2) + (1 x 1)=1
Step 3: Now multiply unit place digit of the second number(310) with the hundredth place digit of 1st number(121)
And multiply unit place digit of first number(121) with hundredth place digit of second number(310)
Also multiply tenth place digit of second number(310) with tenth place digit of first number(121)
And find the sum of the resulting products.
We get (0 x 1) + (3 x 1) + (1 x 2) = 5
Step 4: Multiply the tenth place digit of second number(310) with the hundredth place digit of 1st number(121) and multiply the tenth place digit of 1st number(121) with hundredth place digit of 2nd number(310) and find the sum of the resulting products.
We get (1 x 1) + (3 x 1) = 7
Step 5: Multiply the hundredth place of second number(310) with the hundredth place digit of first number(121).
We get (3 x 1) = 3
We have arrived at our final answer!
121 x 310 = 37510
Math Tricks: Shortcut to multiply any 3 digit number by 111
Math Tricks: Shortcut to multiply any 3 digit number by 111
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
Answer: 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
Answer: 234 x 111=25974
Math Tricks: Shortcut to Multiply Any Number from 10-19 by 6
Math Tricks: Shortcut to Multiply Any Number from 10-19 by 6
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
Answer: 14 x 6 = 84
Math Tricks: Divisibility Rules
Math Tricks: Divisibility Rules
If the end digit of any number is Zero or Even Number then number can easily Divisible by 2. Example: 4587952/2 = 2293976.
If the Sum of all numbers is divisible by 3 then the number is divisible by 3. Example:(8+6+1) = 15 and 15 is divisible by 3, So the 861 is divisible by 3. Some more Example: 22104/3 = 7368. (2+2+1+0+4) = 9. 9/3 = 3, So 22104 divisible by 3.
The number is Divisible by 4 when the end of two digit is divisible by 4 or end of two digit is Zero. Example: 85736 = 21434. (End two digit divisible by 4). 98300 = 24575 (End of both digit is Zero).
The number is end with Zero or 5 Then the number is divisible by 5. Example: 7775/5 = 1555 (End digit is 5), 3390/5 = 678 (End digit is 0).
The number is divisible by 6 when the number is divisible by 3 and 2. So both the condition should be satisfied by Rule 3 and 2 otherwise number will be not divisible by 6. 5844/6 = 974 (Both condition are satisfied).
Three end digit of number if divisible by 8 and if the last three digit is Zero then the number is also divisible by 8. Example:224256/8=28032 here the last digit 256 is divisible by 8 so the total number should be divisible by 8. 92045000/8=11505625.last three digit is Zero so the number is divisible by 8.
All digits sum of a number if divisible by 9 then the number is divisible by 9. Example: 9522:(9+5+2+2)=18 that is divisible by 9 so the number 9522/9=1058.
The number is divisible by 10 if the number is end with Zero then the number divisible by 10. Example: 4790/10=479 and 1250/10=125 this two numbers are end with Zero that why it is divisible by 10.
Using 11 a number is divisible if difference sum of Even places and sum of odd places is Zero so divisible by 11. Example: 1236431460/11=112402860. (1+3+4+1+6)(odd places)-(2+6+3+4+0)(Even places)=0 and sum of odd and Even digit is equal so the number is divisible by 11.
We can write 15 as (5×3) so if a number is divisible by 5 and 3 then the number is divisible by 15.
Math Tricks: Shortcut to divide any 2 digit number by 5
Math Tricks: Shortcut to divide any 2 digit number by 5
Using this shortcut method to divide, You can divide any 2 digit number by 5 within seconds.
Let us see the steps on how to divide any number by 5
Step 1:Double the given number.
Step 2:Shift the decimal point to the left by one place.
Now we shall practice some examples using this trick
Example 1: 42/5=?
Step 1:By doubling 42 we get 84.
Step 2:By shifting the decimal point to the left by one place we get 8.4
Answer: 42/5=8.4
Example 2: 18/5=?
Step 1:By doubling 18 we get 36.
Step 2:By shifting the decimal point to the left by one place we get 3.6
Answer: 18/5=3.6
Math Tricks: Shortcut to divide any 2 digit number by 9
Math Tricks: Shortcut to divide any 2 digit number by 9
Dividing a two digit number by 9 using the method taught to us in our school days may take a minute. But by applying this trick you can mentally calculate the answer within seconds.
Let us see the steps now
Step 1: Enter the ten’s digit of the number as it is.
Step 2: To get the unit’s place digit add the ten’s place digit number and Unit’s place digit number and put the decimal point after the ten’s place digit.
Let us consider an example
Example: 23÷ 9=?
Step 1: We enter the ten’s place digit as it is
Ten’s place digit=2
Step 2: We get the unit’s place digit by adding ten’s place digit and unit’s place digit
2+3=5
Unit’s place digit=5
Now add a decimal point between the unit’s place digit and the ten’s place digit to arrive at the answer
Answer: 23÷ 9 =2.5
Math Tricks: Divisibility of a number by 2 shortcut tricks
Math Tricks: Divisibility of a number by 2 shortcut tricks
If the end digit of any number is Zero or Even Number then number than it can easily Divisible by 2.
Example: 88888 / 2 = 44444
Example: 4587952 / 2 = 2293976
Example: 22334488 / 2 = 11167244
Example: 3987284 / 2 = 1993642
Example: 25873252 / 2 = 12936626
Example: 2458 / 2 = 1229
Note: All this numbers are divisible by 2 because of end digit from right side is even that’s why the number is divisible by 2 , 1235643 , 125787 , 4587121 and this numbers are not divisible by 2 because the end digit is odd number.
Example: 39872840 / 2 = 19936420
Example: 223344880 / 2 = 111672440
Example: 258732520 / 2 =129366260
Example: 888880 / 2 = 444440
Example: 24580 / 2 = 12290
Note: All this numbers are divisible by 2 because of end digit from right side is Zero that’s why the number is divisible by 2 .
Math Tricks: Divisibility of a number by 3 shortcut tricks
Math Tricks: Divisibility of a number by 3 shortcut tricks
If the Sum or addition of all numbers that is given is divisible by 3 then the number is divisible by 3.
Example: 861 / 3 = 287. (8+6+1) = 15 and 15 is divisible by 3, So the 861 is divisible by 3.
Example: 22104 / 3 = 7368. (2+2+1+0+4) = 9. 9 / 3 = 3, So 22104 divisible by 3.
Example: 99954 / 3 = 33318. (9+9+9+5+4) = 36. 36 / 3 = 12, So 99954 divisible by 3
Example: 87921 / 3 = 29307. (8+7+9+2+1) = 27. 27 / 3 = 9, So 87921 divisible by 3
Example: 69321 / 3 = 23107. (6+9+3+2+1) = 21. 21 / 3 = 7, So 69321 divisible by 3
Example: 1359 / 3 = 453. (1+3+5+9) = 18. 18 / 3 = 6, So 1359 divisible by 3
Note: So Before going to divisible by 3 any number, first check the addition of all numbers is divisible by 3.
Math Tricks: Divisibility of a number by 4 shortcut tricks
Math Tricks: Divisibility of a number by 4 shortcut tricks
The number is Divisible by 4 when the end of two digit from right end is divisible by 4 or end of two digit is Zero.
Example: 85736 = 21434. (End two digit divisible by 4). So the number is divisible by 4.
Example: 58648 / 4 = 14662. (End two digit divisible by 4). So the number is divisible by 4.
Example: 85728 / 4 = 21432. (End two digit divisible by 4). So the number is divisible by 4.
Example: 3571916 / 4 = 892979. (End two digit divisible by 4). So the number is divisible by 4.
Example: 4781204 / 4 = 119530. (End two digit divisible by 4). So the number is divisible by 4.
Note: The number is divisible by 4 if the end of two digit from right end is Zero.
Example: 98300 = 24575 (End of both digit is Zero). So the number is divisible by 4.
Example: 8573600 = 2143400.(End of both digit is Zero). So the number is divisible by 4.
Example: 5864800 / 4 = 1466200.(End of both digit is Zero). So the number is divisible by 4.
Example: 8572800 / 4 = 2143200.(End of both digit is Zero). So the number is divisible by 4.
Example: 357191600 / 4 = 89297900.(End of both digit is Zero). So the number is divisible by 4.
Example: 478120400 / 4 = 119530100.(End of both digit is Zero). So the number is divisible by 4.
Note: So Before going to divisible by 4 any number, first check the end of two digit is from right end is divisible by 4 or end of two digit is Zero.Than all numbers is divisible by 4.
Math Tricks: Divisibility of a number by 5 shortcut tricks
Math Tricks: Divisibility of a number by 5 shortcut tricks
The number is Divisible by 5 when the number is end with Zero or 5 Then the number is divisible by 5.
Example: 7775/5 = 1555 (End digit is 5).
Example: 3395 / 5 = 679 (End digit is 5).
Example: 45865 / 5 = 9173 (End digit is 5).
Example: 357555 / 5 = 71511 (End digit is 5).
Example: 3398795 / 5 = 679759 (End digit is 5).
Example: 33945785 / 5 = 6789157 (End digit is 5).
Example: 339456795 / 5 = 67891359 (End digit is 5).
Example:3395254785 / 5 = 679050957 (End digit is 5).
Note: The number is divisible by 5 if the end of one digit from right end is Zero.
Example: 33950/5 = 6790 (End digit is 5).
Example: 458650 / 5 = 91730 (End digit is 0).
Example: 3575550 / 5 = 715110 (End digit is 0).
Example: 33987950 / 5 = 6797590 (End digit is 0).
Example: 339457850 / 5 = 67891570 (End digit is 0).
Example: 3394567950 / 5 = 678913590 (End digit is 0).
Example: 33952547850 / 5 = 6790509570 (End digit is 0).
Note: So Before going to divisible by 5 any number, first check the end of one digit is from right end is 5 or end of one digit is Zero.Than all numbers is divisible by 5.
Math Tricks: Divisibility of a number by 6 shortcut tricks
Math Tricks: Divisibility of a number by 6 shortcut tricks
The number is divisible by 6 when the number is divisible by 3 and 2. So both the condition should be satisfied by Rule 3 and 2 otherwise number will be not divisible by 6.
Example: 5844 / 6 = 974 (Both condition are satisfied).
Example: 76422 / 6 = 12737 (Both condition are satisfied).
Example: 723294 / 6 = 120549 (Both condition are satisfied).
Example: 7858446 / 6 = 1309741 (Both condition are satisfied).
Example: 38443692 / 6 = 6407282 (Both condition are satisfied).
Example: 547121844 / 6 = 91186974 (Both condition are satisfied).
Example: 5862359442 / 6 = 977059907 (Both condition are satisfied).
Example: 58652570982 / 6 = 9775428497 (Both condition are satisfied).
Example: 584396125734 / 6 = 97399354289 (Both condition are satisfied).
Note: So Before going to divisible by 6 any number, first check the condition of 2 and 3 are satisfied.Than all numbers is divisible by 6.
Math Tricks: Divisibility of a number by 8 shortcut tricks
Math Tricks: Divisibility of a number by 8 shortcut tricks
Three end digit of a number if divisible by 8 and last three digit is Zero then the number is divisible by 8.
Example: 65415624000/8=8176953000. last three digit is Zero so the number is divisible by 8.
Example: 32562984000/8=4070373000. last three digit is Zero so the number is divisible by 8.
Example: 224256/8=28032 . last digit 256 is divisible by 8 so the total number should be divisible by 8.
Example: 46045392000/8=5755674000. last three digit is Zero so the number is divisible by 8.
Example: 46045392/8=5755674. last three digit number Divisible by 8.so the number is divisible by 8.
Example: 2879632000/8=359954000. last three digit is Zero so the number is divisible by 8.
Example: 33399944000/8=4174993000. last three digit is Zero so the number is divisible by 8.
Example: 65415624/8=8176953. last three digit number Divisible by 8.so the number is divisible by 8.
Example: 28796320/8=3599540. last three digit number Divisible by 8.so the number is divisible by 8.
Example: 32562984/8=4070373. last three digit number Divisible by 8.so the number is divisible by 8.
Example: 33399944/8=4174993. last three digit number Divisible by 8.so the number is divisible by 8.
Note: So Before going to divisible by 8 any number, first check the condition of last three digit is divisible by 8 or last three digit is Zero.Than all numbers is divisible by 8.
Math Tricks: Divisibility of a number by 9 shortcut tricks
Math Tricks: Divisibility of a number by 9 shortcut tricks
All digits sum of a number if divisible by 9 then the number is divisible by 9.
Example: 9981: (9+9+8+1)=27 that is divisible by 9 so the number 9981/9 = 1109.
Example: 89874: (8+9+8+7+4)=36 that is divisible by 9 so the number 89874/9 = 9986.
Example: 9522: (9+5+2+2)=18 that is divisible by 9 so the number 9522/9 = 1058.
Example: 499869: (4+9+9+8+6+9) = 45 that is divisible by 9 so the number 499869/9 = 55541.
Example: 77896593: (7+7+8+9+6+5+9+3) = 54 that is divisible by 9 so the number 77896593/9 = 8655177.
Example: 778965939: (7+7+8+9+6+5+9+3+9) = 63 that is divisible by 9 so the number 778965939/9 = 1086551771.
Example: 999988875: (9+9+9+9+8+8+8+7+5) = 72 that is divisible by 9 so the number 999988875/9 = 111109875.
Example: 33778899999: (3+3+7+7+8+8+9+9+9+9) = 81 that is divisible by 9 so the number 33778899999/9 = 3753211111.
Example: 99999888876: (9+5+2+2) = 90 that is divisible by 9 so the number 99999888876/9 = 11111098764.
Example: 19873895896989: (1+9+8+7+3+8+9+5+8+9+6+9+8+9) =99 that is divisible by 9 so the number 19873895896989/9 = 2208210655221.
Note: So Before going to divisible by 9 any number, first check the condition of All digit sum is divisible by 9 .Than numbers is divisible by 9.
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