What will be the number of zeros in the square of the following numbers?
(i) 60 (ii) 400
(i) In 60, number of zero is 1
∴ Its square will have 2 zeros.
(ii) ∵ There are 2 zeros in 400.
∴ Its square will have 4 zeros.
Property 6. The difference between the squares of two consecutive natural numbers is equal to the sum of the two numbers.
Property 7. There are 2n non-perfect square numbers between the squares of the numbers n and n + 1.
What will be the “one’s digit” in the square of the following numbers?
(i) 1234 (ii) 26387 (iii) 52698
(iv) 99880 (v) 21222 (vi) 9106
The square of which of the following numbers would be an odd number/an even number?
Why?
(i) 727 (ii) 158 (iii) 269 (iv) 1980
How many natural numbers lie between 92 and 102? Between 112 and 122?
How many non-square numbers lie between the following pairs of numbers:
(i) 1002 and 1012 (ii) 902 and 912
(iii) 10002 and 10012
