Question

4. By just examining the unit digits, can you tell which of the following cannot be whole squares? (i) 1027 (ii) 1023 (iii) 1022 (v) 1028 (vi) 1026 (iv) 1024
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Answer 1

Answer:

(i) The unit digit of 1027 is 7, so it is not a perfect square.

(ii) The unit digit of 1023 is 3, so it is not a perfect square

(iii) The unit digit of 1022 is 2, so it is not a perfect square.

(iv) The unit digit of 1024 is 4, so it is a perfect square.

(v) The unit digit of 1028 is 8, so it is not a perfect square.

(vi) The unit digit of 1026 is 6, so it is a perfect square.

Step-by-step explanation:

Perfect squares have 1, 4, 9, 6 and 5 as unit digit. Numbers with 0 are also perfect squares if the number of 0 is even number.

                      Eg; 10000 is perfect square because the number of 0 is four.

                            300 is not perfect square because the number of 0 is three.