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
(i) ∵ Ending digit = 4 and 42 = 16
∴ (1234) will have 6 as the one’s digit.
(ii) ∵ Ending digit is 7 and 72 = 49
∴ (26387)2 will have 9 as the one’s digit.
(iii) ∵ Ending digit is 8, and 82 = 64
∴ (52692)2 will end in 4.
(iv) ∵ Ending digit is 0.
∴ (99880)2 will end in 0.
(v) ∵ 22 = 4
∴ Ending digit of (21222)2 is 4.
(vi) ∵ 62 = 36
∴ Ending digit of (9106)2 is 6.
How many natural numbers lie between 92 and 102? Between 112 and 122?
What will be the number of zeros in the square of the following numbers?
(i) 60 (ii) 400
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 non-square numbers lie between the following pairs of numbers:
(i) 1002 and 1012 (ii) 902 and 912
(iii) 10002 and 10012
