shortcut to multiply any 2 digit number by a 2 digit number

Here is a shortcut to multiply any 2 digit number by a 2 digit number within seconds.


Let us see the steps to multiply a 2 digit number by a 2 digit number



Step 1:Multiply the ten's place digit of the 1st number with ten's place digit of the 2nd number to get the ten's place digit of your answer.

Step 2:Leave a blank space in between.Now multiply the unit's place digit of the 1st number with the unit's place digit of the 2nd number to get the unit's place digit of your answer.

Step 3:Find the product of the inside numbers and the product of the extremes and add both and insert the digit in the blank space.


Let us consider an example to understand better


Example 1: 41 x 31=?
Step 1:Multiply unit's place digit of both the numbers as shown below
          1 x 1=1

Step 2:Find the product of inside numbers(1 x 3=3)
           Find the product of extremes (4 x 1=4)
           Now adding the product of inside numbers and extremes
           we get,
           (1 x 3)+(4 x 1)=3+4=7
         
          The middle digit is 7


Step 3:Multiply ten's place digit of both the numbers as shown     below
          4 x 3=12
         
Ans:    41 x 31=1271


Example 2: 46 x 36=?

Step 1:Multiply unit's place digit of both the numbers as shown below to get the unit's place digit which is 6
          6 x 6=36
Here we are getting 2 digit number on multiplication, we will keep the unit's place digit and add ten's place digit(3) to step 2

Step 2:Find the product of inside numbers(6 x 3=18)
           Find the product of extremes (4 x 6=24)
           Now adding the product of inside numbers and extremes
           we get,
           18+24=42
          Now we shall add the ten's place digit we got from step 1.
          42+3=45
          We shall keep unit's place digit and add ten's place digit(4) to            step 3.        


Step 3:Multiply ten's place digit of both the numbers as shown below
          4 x 3=12
          Adding ten's place digit from step 2 we get
          12+4=16
         
Ans:    46 x 36=1656



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