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Multiplication Trick for Large Numbers

Published on Wednesday, October 14, 2015
Today we are sharing some special cases of multiplication which will help you to solve simplification problems quickly and easily. Try to apply these techniques for speedy calculations and keep practicing !!

I have already shared Vedic maths trick to Multiply large numbers here.

GENERAL RULES FOR MULTIPLICATION

MULTIPLICATION BY A 2-DIGIT NUMBER

EXAMPLE - 62 × 71
Step 1 - Multiply the right hand side digits

Step 2 - Cross-Multiplication
Step 3 - Multiply the left hand side digits

ANSWER = 4402

MULTIPLICATION BY A 3-DIGIT NUMBER


    EXAMPLE - 198 × 256

    Step 1 - 

     Step 2-  


    Step 3 -


    Step 4 -




     Step 5 - 




    MULTIPLICATION BY A 4-DIGIT NUMBER



    EXAMPLE -  4325 × 3216

    Step 1 - 

    Step 2 -
    Step 3 -


    Step 4 


    Step 5 


    Step 6



    Step 7 


    Multiply by 5

    To multiply any number with 5, we will 

    "MULTIPLY THE NUMBER WITH 10 AND DIVIDE IT  WITH 2  "

    EXAMPLE

    Multiply 2469 by 5

    Step 1 - Multiply 2469 with 10
    => 2469 ×  10 = 24690

    Step 2  - Divide 24690 by 2
    => 24690/2 = 12345 

    ANSWER = 12345 

    MULTIPLY BY 9

    To multiply any number with 9, we will

    " MULTIPLY THE NUMBER WITH 10 AND SUBTRACT THE NUMBER ITSELF "

    EXAMPLE

    Multiply 4582 by 9

    Step 1 - Multiply 4582 with 10 
    => 4582 × 10 = 45820

    Step 2 -Subtract the number itself from the result
    => 45820 - 4582 = 41238  

    ANSWER = 41238  

    MULTIPLY BY 11

    To multiply any number with 11,we will

    " WRITE ZERO TO THE LEFT SIDE OF THE NUMBER. KEEP THE LAST DIGIT SAME AND START ADDING THE SUCCESSIVE DIGITS FROM RIGHT HAND SIDE "

    OR

    " MULTIPLY THE NUMBER WITH 10 AND ADD THE NUMBER ITSELF "

    EXAMPLE

    Multiply 89067 by 11

    Step 1 - Write zero to the left side of the number. 
    => 089067

    Step 2 - Keep the last digit same and start adding the digits from right hand side.

    => 


    ANSWER - 979737      

    OR
    Step 1 - Multiply the number with 10
    => 89067 × 10 = 890670

    Step 2 - Add the number itself to the result
    => 890670 + 89067 = 979737

    ANSWER = 979737

    MULTIPLY BY 25

    To multiply any number with 25, we will

    " MULTIPLY THE NUMBER WITH 100 AND DIVIDE IT WITH 4 "

    EXAMPLE

    MULTIPLY 15698 by 25

    Step 1 - Multiply the number with 100
    => 15698*100 = 156980

    Step 2- Divide it with 4
    => 1569800/4 = 392450

    ANSWER = 392450

    MULTIPLICATION OF NUMBER CLOSE TO 100,1000 ...

    Step 1 - Take base as 100 and find the distance of the numbers from 100.
    Step 2 - Add the distances of the numbers by considering signs of the numbers and add the result to 100 and put two zeros to the right side of the number 
    Step 3 - Now, Multiply the distances of the numbers and add to the result of step 2.
    Step 4 - Add the values of Step 3 and Step 4.

    Lets understand this technique with the help of example :

    Multiply 92 ×  97
    In case of 1000, take base as 1000 and remaining steps will remain the same.

    CHECKING OF MULTIPLICATION

    DIGIT SUM METHOD

    This method is also known as Nines Remainder Method. Digit sum of a number can be found by adding the numbers. In this, we always reduce the digit sum to single figure. 

    The digit sum of the number must be equal to the digit sum of the answer.

    If we get both side equal. we may conclude that our calculation is correct.

    EXAMPLE  - 92 ×  97 

    => 92 ×  97 = 8924
    =>  (9 + 2 ) ×  ( 9 + 7 ) = 8 + 9 + 2 + 4   ( Don't count 9's or digits having sum 9 )
    => 2 ×  7 = 14 (1 + 4)
    => 5 = 5 

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    ramandeep singh

    Ramandeep Singh is a seasoned educator and banking exam expert at BankExamsToday. With a passion for simplifying complex concepts, he has been instrumental in helping numerous aspirants achieve their banking career goals. His expertise and dedication make him a trusted guide in the journey to banking success.

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