Question

If a number ends with n number of zeroes, then its square ends with 2n

zeroes.

Answer 1

If a number ends with n number of zeroes, then its square ends with 2n zeroes. That is, if a number has some zeroes in its end, then the square of the number would have double the number of zeroes in its end.

Let us consider the squares of some numbers which end with 0 to understand the given concept.

40² = 1600. 40 has 1 zero in the end but its square 1600 has 2 zeroes in the end.

700² = 490000. 700 have 2 zeroes in the end but its square 490000 has 4 zeroes in the end.

9000² = 81000000. 9000 have 3 zeroes in the end but its square 81000000 has 6 zeroes in the end.