Whar will be the unit digit of the square of the following. 272,799,3853,1234,26387,52698,99880,12796,55555. (Full Statement ). 29 points
Answers
Answer!!
(i) 81
The unit digit of the square of a number having digit 1 as unit’s place is 1.
Unit digit of the square of number 81 is equal to 1.
(ii) 272
Unit digit of 272 is 2 and 22 = 4.
Hence, unit digit of the square of 272 is 4.
(iii) 799
If a number has 1 or 9 in the units place, then its square ends in 1. (or) Unit digit of 799 is 9 and 92 = 81, and unit digit of 81 is 1.
Hence, unit digit of square of 799 is 1.
(iv) 3853
Unit digit of 3853 is 3 and 32 = 9
Hence, the unit digit of square 3853 is 9.
(v) 1234
Unit digit of 1234 is 4 and 42 = 16, The unit digit of 16 is 6.
Hence, the unit digit of the square of 1234 is 6.
(vi) 26387
Unit digit of 26387 is 7 and 72 = 49, The unit digit of 49 is 9.
Hence, the unit digit of the square of 26387 is 9.
(vii) 52698
Unit digit of 52698 is 8 and 82 = 64, The unit digit of 64 is 4.
Hence, the unit digit of the square of 52698 is 4.
(viii) 99880
If a number has 0 in its unit place then square of its number will also have 0 in its units place (since 02 = 0).
(ix) 12796
Unit digit of 12796 is 6 and 62 = 36, The unit digit of 36 is 6
Hence, the unit digit of the square of 12796 is 6.
(x) 55555
The unit digit of 55555 is 5 and 52 = 25, The unit digit of 25 is 5.
Hence, the unit digit of the square of 55555 is 5.
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