Tricks for Quick Multipliation

Everyone who appeared or going to appear in  MBA exam always struggle with problem of  quick Multiplication. When I start solving problems my multiplication speed was quite low.  I thought it would improve with time but it could not  improved then I tried to mug up some most common multiplication but later I realized that this is not solution. In this Article I will share some techniques which makes your multiplication effective as well as efficient.

1) Multiplication By Split Method:

Divide the numbers to the nearest base of 5 or 10 and then do the multiply it.

E.g   I have to multiply 12 and 13. Instead of writing  12x13 I follow the approach given below:

Step 1:12x13= (10+2)(10+3)

Step 2: Do perform the operations separately like (100+30+20+6)=156

2)Multiplication By Base Method:

 This is another method which any aptitude aspirant can use for multiplication of 2 numbers nearby to 100,200,1000,10000 etc. Lets see How I do multiplication using Base Method. 

When Number is nearby 100:

I want to Multiply 107x108

Now Do follow these Steps:

Step1: Split your number in two parts like this (100+7) (100+8) 

Step 2: Since 107 and 108 are nearby 100 so our Base would be 100 

Step 3: See 107 is 7 more than 100 and 108 is 8 more than 100 

Step 4: It would result in 115 

Step 5: Now Multiply 7*8=56

Your Answer for 107 x 108= 11556

It is like (115|56) 107+8=115 and 7x8=56

When Base is not Equal to 100:
When your number is nearby 200, 300 or some other base then you can follow the following techniques:
We are illustrating by multiplying 208 x 211

Step 1: Split your number like above

Step 2: Add 11 in 208 or Add 8 in 211

Step 3:After Adding do multiply it with 2 if base your base  is 200 with 3 if it is 300 or 4 if it is 400
Step4: Do the same above multiply 11 and 8
Get your Answer 211x208=43888
It is like (219*2|88) 2(211+8) and 11x8=88

3)Multiplication By Generalization:

While using Base Method I was always facing problem when I have to multiplication of two digits who has a big difference. After studying and spending countless nights I get a method and learnt this method known as Generalization Method of Multiplication which we usually do in our schools but here I would like to share it in 7 easy steps to of multiplication.

I would like to illustrate by Multiplying it with 243 x 658

Step1: 3 x 8=24

Step 2: 43 x 58= (4x8 +3x5) =47

Step 3: 243 x 658= (2x8 + 4x5 + 3x6)=54

 Step 4:24 x 65= (10+24)=34

Step 5:2 x 6=12

Step 6: After Multiplying arrange them in a sequence like this (12|34|54|47|24)

Step 7: After arranging keep first and last digits same and add the digit diagonal right to it like

1(2+3)(4+5)(4+4)(7+2)4=159894

I hope these techniques would help you in improving calculations. Please share some more techniques and let me know if you any  other trick or technique. 

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