# Fast Math Tricks for Multiplication of 3-Digits Number – Download in PDF

Dear Readers, In Banking exams time management is an important key point for success, it will be more challenging to attend all the questions in given time, particularly in Aptitude Section most of the aspirants spending more time to solve it. For fast calculation there are so many Aptitude Shortcuts and Mind Tricks, weÂ IBPS GuideÂ taking special steps to provide you more Shortcuts for both Aptitude Questions and Simplification. Here we have given a Fast Math Tricks for the Multiplication of 3-Digits Number.

Note: This method of multiplication may look quite complicated, but if you practice it regularly, it will help you to Save Time during Examination.

EXAMPLE 1:
783Ã—654 =?
GIVEN:
N1Â = 783; N2Â = 654
SOLUTION:
Â
STEP 1:
Oneâ€™s digit of the product is obtained by multiplying the oneâ€™s digits of N1Â and N2

Oneâ€™s digit of product = [Oneâ€™s digit of N1Â Ã— Oneâ€™s digit of N2]
= [3Ã—4]
=Â 12
â€˜1â€™ is taken as carry to the Step 2 i.e.,Â C1Â = 1
Â
STEP 2:
Tenâ€™s digit of product = [Tenâ€™s digit of N1Ã—Oneâ€™s digit of N2] +
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  [Oneâ€™s digit of N1Ã—Tenâ€™s digit of N2] + C1
Â
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = [8Ã—4] + [3Ã—5] + 1
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 32 + 15 + 1
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  =Â 48
â€˜4â€™ is taken as the carry to Step 3 i.e.,Â C2Â = 4
STEP 3:
To calculate theÂ hundredth digit of the product
=Â [Hundredth digit of N1Ã—Oneâ€™s digit of N2] + [Tenâ€™s digit of N1Â Ã— Tenâ€™s digit of N2] + [Oneâ€™s digit of N1Ã—Hundredth digit of N2] + C2
Â
= [7Ã—4] + [8Ã—5] + [3Ã—6] + 4
= [28] + [40] + [18] + 4
=Â 90
Here, â€˜9â€™ is taken has carry i.e.,Â C3Â = 9
Adding the products of above 3 steps we get
Â
STEP 4:
To calculate theÂ thousand digit of the product
=Â [Hundredth digit of N1Ã—Tenâ€™s digit of N2] + [Tenâ€™s digit of N1Â Ã— Hundredth digit of N2] + C3
= [7Ã—5] + [8Ã—6] + 9
= [35] + [48] + 9
=Â 92
Â
Here, â€˜9â€™ is taken has carry i.e.,Â C4Â = 9
Add the Products of the above 2-steps. At the end of Step 4 we have
STEP 5:
To calculate theÂ remaining digit of the product
=Â [Hundredth digit of N1Ã—Hundredth digit of N2] + C4
= [7Ã—6] + 9
= [42] + 9
=Â 51
Therefore, 783Ã—654 = 512082