Short Answer Type
Long Answer Type1. Can we say whether the following numbers are perfect squares? How do we know?
(i) 1057 (ii) 23453 (iii) 7928
(iv) 222222 (v) 1069 (vi) 2061
Write five numbers which you can decide by looking at their one’s digit that they are not square numbers.
Short Answer TypeWrite five numbers which you cannot decide just by looking at their unit’s digit (or one’s place) whether they are square numbers or not.
Which of the following numbers would have digit 6 at unit place.
(i) 192 (ii) 242 (iii) 262
(iv) 362 (v) 342
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.
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
What will be the number of zeros in the square of the following numbers?
(i) 60 (ii) 400
How many non-square numbers lie between the following pairs of numbers:
(i) 1002 and 1012 (ii) 902 and 912
(iii) 10002 and 10012
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