What will be the number of zeros at the end of the square of the following numbers?
(i) 70
(ii) 500
Show answer & explanation
Correct answer: B
Explanation
To find the square of a number ending in zeros, first remove the zeros and square the remaining number; then, append twice the original number of zeros to the result.
(i) Square of 70
70 = 7 × 10
70² = 7² × 10²
= 49 × 100
= 4900
(ii) Square of 500
500 = 5 × 100
500² = 5² × 100²
= 25 × 10000
= 250000
2 zeros in (i), 4 zeros in (ii)