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
(i) 81
Since, here the given number has its unit place digit as 1, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(1 x 1 = 1) i.e., 1
(ii) 272
Since, here the given number has its unit's place digit as 2, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(2 x 2 = 4) i.e., 4
(iii) 799
Since the given number has its unit's place digit as 9, its square will end with the unit digit of the multiplication (9 x 9 = 81) i.e., 1
(iv) 3853
Since, here the given number has its unit's place digit as 3, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(3 x 3 = 9) i.e., 9
(v) 1234
Since, here the given number has its unit's place digit as 4, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(4 x 4 = 16) i.e., 6
(vi) 26387
Since, here the given number has its unit's place digit as 7, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(7 x 7 = 49) i.e., 9
(vii) 52698
Since, here the given number has its unit's place digit as 8, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(8 x 8 = 64) i.e., 4
(viii) 99880
Since the given number has its unit's place digit as 0.
Hence, its square will have two zeroes at the end. Therefore, the unit digit of the square of the given number is 0
(xi) 12796
Since, here the given number has its unit's place digit as 6, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(6 x 6 = 36) i.e., 6
(x) 55555
Since, here the given number has its unit's place digit as 5, its square will end with the unit digit of the multiplication of unit place digit of the number with the unit place digit of the number itself.
(5 x 5 = 25) i.e., 5