Q7. What will be the number of zeros in the square of 400 ?
( a) 5 ( b) 1 ( c ) 3 ( d ) 4
Answers
400sq=160000..
Given : The main number is 400
To find : The number of zeroes in the square of the main number.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of zeroes in the square of the main number)
There's a technique by which we can simply solve this type of problem without any manual calculations. Usually a number having a certain number of zeroes at its end, will have double the number of zeroes at its end when squared.
Eg. 10 has 1 zero at its end, so its square (10² = 100) 100 has 2 zeroes at its end. (1 zero became 2 zeroes, when squared)
Similarly, 400 has 2 zeroes. So, in its square it will have 4 zeroes.
Verification :
- (400)² = 160000
- 160000 has 4 zeroes, as said before.
Hence, there will be 4 zeroes in the square of 400