Let us understand how it works by multiplying 67456 X 5
Step 1: Join one 0(zero) at the end the number
674560
Step 2: Divide the number obtained in step 1 by 2.
674560 ÷ 2
= 337280 (Answer)
Let us understand how it works by multiplying 67456 X 25
Step 1: Join one 0(zero) at the end the number
674560
Step 2: Divide the number obtained in step 1 by 2.
674560 ÷ 2
= 337280
Repeat the steps again as 25 is 5 X 5.
Step 3: Join one 0(zero) at the end the number
3372800
Step 4: Divide the number obtained in step 3 by 2.
3372800 ÷ 2
= 1686400 (Answer)
This method can used to Multiply any number with power of 5 i.e. 5, 25, 125, 625……
As the power increases the first 2 steps gets repeated as many times.
Let us understand how it works by multiplying 67456 X 125
The first 4 steps as used for multiplication with 25 remains same and as 25 X 5 = 125, so 2 more steps increase
Step 5: Join one 0(zero) at the end the number
16864000
Step 6: Divide the number obtained in step 5 by 2.
16864000 ÷ 2
= 8432000 (Answer)
If it has to be multiplied with 625, 2 more steps have to be repeated and it goes on.
This method is time efficient for multiplication with power of 5.