Shortcuts for Multiplication of numbers | Easy way for Multiplications

Easy Multiplication tricks for 2digit, 3digit and 4digit numbers

Multiplication process is crucial because most of the question of mathematics involves it.

  • Multiplication is one of the trick for doing addition. The concept of multiplication is essentially that when we need to add a certain number consecutively.
  • For example add 24 eight times, i.e 24+24+24+24+24+24+24+24 so in this process of addition it is also do conveniently  by using 24 x 8
  • In this article discussed about the easy method for doing the multiplication of 2 digit by 2 digit, 3digit by 3digit  and 4digit by 4 digit numbers.

Friends here having a simple algorithm in solution. Once you catch the logic than it is very easy to remember. For your better understanding purpose I wrote here in step by step. Once you can understand the steps you can do solution in single step.

Multiplication of 2 digit number tricks :

In this process having 3 steps. for easy understanding purpose, here explained with alphabets as a number.

Take  ab x cdLet us go with one example 47 X 56

Step 1 : ( b x d ) = 7  x 6 = 42. Take ” 2 ” for answer and “4” to be carry over to next step ( Ans : 2).

Step 2 : [ (a x d) + (b x c) ] + add number if any carry over from previous step

i.e  [ (4 x 6) + (5 x 7) ]  + 4 = 63. Take ” 3 ” for answer and “6” to be carry over to next step ( Ans : 32)

Step 3 : ( a x c ) + add number if any carry over from previous step

i.e 4 x 5 =20 + 6 = 26   Take ” 26 ” ( Ans : 2632)

So final answer is 2632

Multiplication trick for 3 digit numbers :

In this process having 5steps. for easy understanding purpose, here explained with alphabets as a number. (abc x def)

Now let us see one example 624 x 315

Step 1 : ( c x f ) = 4x 5= 20. Take ” 0 ”  for answer and “2” to be carry over to next step ( Ans : 0)

Step 2 : [ (b x f) + (c x e) ] + add number if any carry over from previous step

i.e  [ (2 x 5) + (4 x 1) ]  + 2 = 16. Take ” 6 ” for answer and “1” to be carry over to next step ( Ans : 60)

Step 3 : [ (a x f) + (b x e) + (c x d) ] + add number if any carry over from previous step

i.e [ (6 x 5) + (2 x 1) + (4 x 3) ]  + 1 = 45.  Take ” 5 ” for answer and “4” to be carry over to next step ( Ans : 560)

Step 4 : [ (a x e) + (b x d) ] + add number if any carry over from previous step

i.e  [ (6 x 1) + (2 x 3) ]  + 4 = 16.  Take ” 6 ” for answer and “1” to be carry over to next step ( Ans : 6560)

Step 5 : ( a x d )  + add number if any carry over from previous step

i.e ( 6 x 3) + 1 = 19   ( Ans : 196560)

So our final answer is 196560

Multiplication trick for 4 digit numbers :

In this multiplication process having 7 steps. for easy understanding purpose here explained with alphabets as a number. (abcd x efgh)

Now let us see one example  5243 x 7326

Step 1 : ( d x h ) = 3 x 6= 18.  Take ” 8 ” for answer and “1” to be carry over to next step ( Ans : 8)

Step 2 : [ (c x h) + (d x g) ] + add number if any carry over from previous step

i.e  [ (4 x 6) + (3 x 2) ]  + 1 = 31.  Take ” 1 ” for answer and “3” to be carry over to next step ( Ans : 18)

Step 3 : [ (b x h) + (c x g) + (d x f) ] + add number if any carry over from previous step

i.e [ (2 x 6) + (4 x 2) + (3 x 3) ]  + 3 = 32. Take ” 2 ” for answer and “3” to be carry over to next step ( Ans : 218)

Step 4 : [ (a x h) + (b x g)+ (c x f) + (d x e)] + add number if any carry over from previous step.

i.e  [ (5 x 6) + (2 x 2)+(4 x 3) + (3 x 7) ]  + 3 = 70.  Take ” 0 ” for answer and “7” to be carry over to next step ( Ans : 0218)

Step 5 : [ (a x g) + (b x f) + (c x e) ] + add number if any carry over from previous step

i.e [ (5 x 2) + (2 x 3) + (4 x 7) ]  + 7 = 51. Take ” 1 ” for answer and “5” to be carry over to next step ( Ans : 10218)

Step 6 : [ (a x f) + (b x e) ] + add number if any carry over from previous step

i.e  [ (5 x 3) + (2 x 7) ]  + 5 = 34. Take ” 4 ” for answer and “3” to be carry over to next step ( Ans : 410218).

Step 7 : ( a x e )  + add number if any carry over from previous step

i.e ( 5 x 7) + 3 = 38   ( Ans : 38410218)

So final answer is 38410218.

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Post Author: sivaalluri

My self Sivaramakrishna Alluri. Thank you for watching my blog friend

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