Write 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.
Any natural number ending in 0, 1, 4, 5, 6 or 9 can be or cannot be a square-number. Five such numbers are:
56790, 3671, 2454, 76555, 69209
Property 2. If a number has 1 or 9 in the unit’s place, then its square ends in 1.
For example:
(1)2 = 1, (9)2 = 81, (11)2 = 121, (19)2 = 361, (21)2 = 441.
Find the perfect square numbers between (i) 30 and 40 and (ii) 50 and 60.
Which of 1232, 772 822, 1612, 1092 would end with digit 1?
Which of the following numbers would have digit 6 at unit place.
(i) 192 (ii) 242 (iii) 262
(iv) 362 (v) 342
1. 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.
