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Express 49 as the sum of 7 odd numbers.
We know:
The sum of first n odd natural numbers is n2
Therefore,
49 = (7)2
Hence, 49 is the sum of first 7 odd natural numbers
49 = 1 + 3 + 5 + 7 + 9 + 11 + 13
What will be the unit digit of the squares of the following numbers?
(i) 81 (ii) 272
(iii) 799 (iv) 3853
(v) 1234 (vi) 26387
(vii) 52698 (viii) 99880
(ix) 12796 (x) 55555
The following numbers are obviously not perfect squares. Give reason
(i) 1057 (ii) 23453
(iii) 7928 (iv) 222222
(v) 64000 (vi) 89722
(vii) 222000 (viii) 505050
The squares of which of the following would be odd numbers?
(i) 431 (ii) 2826
(iii) 7779 (iv) 82004
Observe the following pattern and find the missing digits
Observe the following pattern and supply the missing numbers
Using the given pattern, find the missing numbers
Without adding, find the sum
(i) 1 + 3 + 5 + 7 + 9
(ii) 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17 +19
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Express 121 as the sum of 11 odd numbers
How many numbers lie between squares of the following numbers?
(i) 12 and 13
(ii) 25 and 26
(iii) 99 and 100