Multiplication is important when doing calculations. It is a bit difficult. You may think that I can do multiplication, you can do it. But to make it quick, I am providing 30 multiplication formulas. These multiplication formulas will help you a lot in doing it easily and saving time. I recommend you to learn the multiplication table up to 20 to do these calculations. If that is not possible, then you should definitely learn up to the 9th table.
Play multiplication games to speed up your calculations. Now Android applications offer games for practicing multiplication. Try Android apps like Elevate. If you play games in the Elevate app, multiplication will also be practiced. I have provided the multiplication chats that you need to remember below.
Multiplication is important and difficult while doing simplifications. I have provided 30 multiplication tricks. Multiplication tricks are
1. Multiplication of Single Digit Numbers
2. Multiplication of Two-Digit Numbers
3. Multiplication of Three Digit Numbers
4. Multiplication of Four-Digit Numbers
5. Distribution Method
6. Giving and Taking Method
7. Multiplication of the Same Number
8. Multiplication of any Number between 12 and 19
9. Multiplication of 11
10. Multiplication of 111
11. Multiplication of 1111
12. Multiplication of 5
13. Multiplication of 50
14. Multiplication of 500
15. Ending with 5 and Difference 10
16. Ending with 5 and Same Number
17. Multiplication Near Value 50
18. Multiplication of the Same Number Near the Value of 100, 200, 300,400
19. Multiplication of 37 with 3 Tables
20. Common Digit Number is Greater than the Normal Number
21. Checksum Method for Verification
22. Increasing 3’s Multiplication Method
23. Increasing 6’s Multiplication Method
24. Increasing 9’s Multiplication Method
25. Sequential Inputs of Numbers with 9 (1’S)
26. Sequential Inputs of Numbers with 9 (8’S)
27. Multiplication Series of Numbers Without 8
28. Numerical Palindrome with 1’s
29. Multiply two digits numbers ending in 1
30. Common Sense Method for Multiplication
BODAMAS Rules
1. Multiplication of Single Digit Numbers:
I know that there is no need to explain about single digit number multiplication. The method that all of you are familiar with is single digit multiplication. I want to tell you a simple trick for faster calculations.
I want to give you an example with explanation. Let's see,
4×6 takes more time than 6×4. So try to multiply with bigger numbers. If you know multiplication well, you can format it in any way. This trick is for fast calculations and beginners only.
There is no need to explain anything about single-digit multiplication. I have given three examples to understand.
E.g. 6×4=24
E.g. 7×2=14
E.g. 9×7=63
2. Multiplication of Two-Digit Numbers:
Multiplication of two-digit numbers is a really good trick to save time. Most of the time, two-digit multiplication is required, so you need to learn it. Two-digit multiplication is basically useful for three- and four-digit multiplication.
The usual way we do it is with three lines. Here you can do it with a single line. Let's see,
E.g.
26×32
=26×32
∴832
Steps to Solve Two Digit Multiplication:
Step1: Multiply unit digits of two numbers, i.e.6×2=12. 1 forward carries. [2]
Step2: Multiply cross of two digits and add, i.e. 2×2+6×3=22. Then add carry to 22 (from step1, i.e. 23. 2 is a carry of 23 number (from step 2). [32]
Step3: Multiply ten digit of the numbers, i.e. 2×3=6. Then add carry from previous step i.e. 6+2=8. The final value of this multiplication is [832].
3. Multiplication of Three Digit Numbers:
Multiplying three-digit numbers is a bit more advanced than multiplying two-digit numbers. It is a similar method to multiplying two-digit numbers. The only difference is that we are adding one more step compared to multiplying two-digit numbers.
A simple three-digit multiplication usually takes more time. So you should learn how to multiply three-digit numbers to speed up your calculations. Let's look at an example and the steps to be followed.
E.g.
242×364
∴88088
Steps to Solve Three Digit Multiplication:
4. Multiplication of Four-Digit Numbers:
Multiplying four digit numbers is an advanced method. It is not that easy. This method requires some practice for accurate values. It requires a little concentration to do four digit multiplication. You can do four digit multiplication in 7 simple steps.
So please practice as much as possible and memorize the steps. Practice is required, you will not get accurate values for some time by looking. You will get confused without practice. Let's see,
E.g.
3214×1298
∴4171772
Steps to Solve Four Digit Multiplication:
5. Distribution Method:
Distribution Method is an advanced time-saving method. If you want to go blind, you can do the two-step multiplication trick. I recommend you to learn and practice this trick. Distribution method calculations do not require pen and paper. It feels correct. Practice is necessary for fast calculations.
E.g.
12×17
=(12×10)+ (12×7)
=120+84
∴204
6. Giving and Taking Method:
Giving and taking is also an advanced and time-saving method. If you do not want to learn many tricks, then do the above trick for two-digit multiplication.
I admit that sometimes many tricks can confuse you without enough practice. If you can practice, learn all the tricks of this post. All tricks are recommended.
This trick works when the value is close to 10, 20, 30, 40, 50, etc. That means the units digit must be zero. If it is less than 50, take the negative of that value. If it is more than 50, take that value as positive.
E.g.
12×47
=12×(50-3)
=12×50-12×3
=600-36
∴564
E.g.
56×99
=56×(100-1)
=5600-56
∴5544
7. Multiplication of the Same Number:
The multiplication of any number between 12 and 19 is done by the method . You can also call the teen method for multiplication (add 12). This multiplication method applies to numbers between 12 and 19.
When you calculate numbers between 12 and 19, apply this trick.
It looks usual method.
E.g.
362=0936+0360
∴1296
Steps to solve Multiplication of same number
8. Multiplication of any Number between 12 and 19:
The multiplication of any number is between 12 and 19 method. You can also call the teen method for multiplication (add 12). This multiplication method is applicable for numbers between 12 and 19.
When you calculate numbers between 12 and 19, apply this trick.
The multiplication of the same number is the square of a number. This trick is not necessary to learn. Now I am telling you only for understanding. Sometimes it is also a time-saving method.
Learn every method and trick, but I suggest you, practice well. If you don't want to practice, go with simple methods. Without practice, you will not know where to use tricks.
This seems like a simple method.
E.g.
14×17
Step1: Multiply unit digit of two numbers. 4×7=28 (2 carry). [8]
Step2: Add 14 and another number unit number i.e. 14+7=21. then add 21 and previous step carry i.e 21+2=23. [238]
9. Multiplication of 11:
It is easy to multiply 11 by any number. It is a simple and time-saving method. It is the basis for the three and four digit method. You need to learn it to understand the multiplication of three and four digit 11.
E.g.
11×345
∴3795
Step1: First digit is take as it is 5. [5]
Step2: It is two digit 1's. So add two digits every time. Add 4+5=9.{95]
Step3: Add next two digits 3+4=7. [795]
Step4: Take last digit as it is 3. [3795]
10. Multiplication of 111:
Multiplication of 111 is an advanced method. This is the multiplication of 11, which is similar to the previous method.
E.g.
111×873
∴96903
11. Multiplication of 1111:
Multiplication of 1111 is an advanced method for large numbers. This is also similar to the above two methods.
E.g.
1111×5365
∴5960515
12. Multiplication of 5:
Multiplication of 5 is easy. It is useful for large numbers. This method is basic for the next level methods. Multiplication for large numbers takes more time. This method helps you save time.
You can answer any number, even a large number, within 2 seconds.
E.g.
428×5
=428/2×10
∴2140
13. Multiplication of 50:
This is similar to the above method. We are adding the unit digit zero to 5. Multiplying 50 means it is a big number compared to 5 right.
E.g.
18×50
=18/2×100
∴900
14. Multiplication of 500:
This is similar to the two methods mentioned above. For the sake of understanding, I have added another zero. 500 means it is a big number compared to the two methods mentioned above. For this method, I have explained the two methods mentioned above.
15. Ending with 5 and Difference 10:
Ending with 5 and difference 10. This method is tricky. You should check before applying this method, whether the conditions of the method are satisfied or not.
E.g.
45×35
=(4+1)×3=15
∴1575
16. Ending with 5 and Same Number:
Ending with 5 and Same Number:
Ending with 5 and Same Number is similar to the above method but not 100%. The similarity is that the ending unit digit is 5 . This method is also a bit tricky. Check whether all the conditions are satisfied before applying this method.
17. Multiplication Near Value 50:
Multiplication of a number means near the value 50 . This is a completely different method from the one I mentioned above. This is simple math.
47 is close to 50, if you can add 3 to 47 it will be 50. So subtract 3 from 47 and add 47. Then your multiplication will look like 44×50. Now multiplication is easy.
E.g.
(47)2
=47×47
=44×50
=2200
// 32=9
∴2200+9=2209
18. Multiplication of the Same Number Near the Value of 100, 200, 300,400….
Multiplication of the same number, i.e. 100, 200, 300, etc., is near the value of 100, 200, 300, etc. This is similar to the above method but a bit more complicated. It is also easy if you can practice.
Let's see an example, I am taking 86 squared. It is close to 100. Compared to 100, 86 is 14 less. Then take 14 as minus sign and multiply (14×14). I will tell you in simple steps.
E.g.
86
86 | -14
86 | -14
72 | 196 (1 is carry)
7396
19. Multiplication of 37 with 3 Tables:
Multiplication of 37 with 3 tables is a time-saving method. This means multiplying 37 and any number by 3 is a multiplication method. This method only works for the product of 3. It's very easy.
E.g.
37×3
=7×3=21 {Multiply unit digits] ∴Take last digit i.e. 111
E.g.
37×9
=7×9=63 [Multiply unit digits]
∴Take last digit i.e. 333
E.g.
37×21
=7×21 [Multiply unit digits]
=147
∴Take last digit 777
20. Common Digit Number is Greater than the Normal Number:
The simple number method saves a lot of time than the simple number method. It only works for a number that is single digit and one that is larger than the other number. See the example number below
It looks big but you can answer it in less than 2 seconds.
Don't believe me? Let's see,
E.g.
5732×9999
=5732<9999
∴57314268
21. Checksum Method for Verification:
The checksum method is useful for all multiplications. Learn how to do it and how it works. Above I have multiplied a large number. It may or may not be correct. The checksum method is used for verification of the multiplication. We get 5732×9999=57314268 (previous method).
Add each digit of the numbers on each side separating the multiplication sign. If there is no multiplication sign, you can add all the digits.
E.g.
5732×9999
=17×36
=8×9
=72
=7+2
∴9 Satisfied
22. Increasing 3’s Multiplication Method:
The method of increasing 3’s multiplication is easy and does not require any calculation. You need to remember these numbers with some logic that I will tell you.
The square of the first (3) value is 09. Analyze how it increases.
E.g.
3=09
33=1089
333=110889
3333=11108889
23. Increasing 6’s Multiplication Method:
The method of increasing 6’s multiplication is as mentioned above. You need to remember the values with some logic. No calculations are required for this method.
E.g.
6=36
66=4356
666=443556
6666=44435556
24. Increasing 9’s Multiplication Method:
Increasing 9’s Multiplication Method is also similar to the above two methods. Remember the values I mentioned below. Please understand and follow the logic for big numbers.
E.g.
9=81
99=9801
999=998001
9999=99980001
99999999×9999999999=999999980000001
25. Sequential Inputs of Numbers with 9 (1’S):
Sequential inputs of numbers with 9. Here the units, tens digit are incremented and the numbers are also added. Finally, you get the same result as 1. You need to remember that no calculations are required.
E.g.
1×9+2=11
12×9+3=111
123×9+4=1111
1234×9+5=11111
12345×9+6=111111
123456×9+7=1111111
1234567×9+8=11111111
12345678×9+9=111111111
123456789+10=1111111111
26. Sequential Inputs of Numbers with 9 (8’S):
Sequential inputs of numbers with 9. This is similar to the above method. In the above method, the sequential inputs are in ascending order (1234). Here the sequential inputs are in descending order (987).
No need to do any calculations, you just have to remember.
E.g.
9×9+7=88
98×9+6=888
987×9+5=8888
9876×9+4=88888
98765×9+3=888888
987654×9+2=8888888
9876543×9+1=88888888
98765432×9+0=888888888
27. Multiplication Series of Numbers Without 8:
Multiplication Series of Numbers Without 8:
Here we take the series of numbers without 8 and multiply it by the numbers of the table of 9. Finally, you get the values of 1s, 2s, 3s, 4s, etc.
E.g.
12345679×9=111111111
12345679×18=222222222
12345679×27=333333333
12345679×36=444444444
/>12345679×45=555555555
12345679×54=666666666
12345679×63 =777777777
12345679×72=888888888
12345679×81=999999999
28. Numerical Palindrome with 1’s:
Numerical Palindrome with 1’s method is very easy, I have made a motion above the method of multiplication of 1’s. Hope you know about palindrome. Here I am not explaining anything about palindrome.
Look at the values, it looks like a palindrome. No calculation required just remember
E.g.
1×1=1
11×11=121
111×111=12321
1111×1111=1234321
11111×11111=123454321
111111×111111=12345654321
1111111×1111111=1234567654321
11111111×11111111=123456787654321
111111111×111111111=12345678987654321
29. Multiply two digits numbers ending in 1
Multiplying two digit numbers means that the ending unit digit is 1. The unit digit of both the numbers should be one. Then you can apply this method. This method is new to me too. Let's see
E.g.
51×31=1581
Step 1: Unit digit keep as it is 1. [1]
Step 2: Add the left digits 5+3=8. [81]
Step 3: Multiply the left digits i.e. 5×3=15. [1581]
30. Common Sense Method for Multiplication:
Common Sense Method Aptitude Numerical Simplification for Multiplication. I have named this method only for understanding. Please use common sense and choose which method is required.
I know it is difficult to solve without practice. If you practice well, it is very easy. This is the ultimate method for multiplication. You need to know all the multiplication methods to apply this method.
I will give an example, think about how you can solve it? You need to apply more than one method to solve this example. Let's see,
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E.g.
33×333×3333
3×11×333×3333
11×333×9999
3663×9999
36626337
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