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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