The smallest 5-digit integer perfect square is 10,000 = (100)2
The largest 5-digit integer perfect square is 99,856 = (316)2
So we want to know how many numbers that is, from 100 to 316 inclusive.
It's 316 minus the first 99 = 217 of them.
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10 perfect squares
Two. 36, and 49 are perfect squares.
Eight of them.
There are twelve.
1 and 0. 12 = 1 02 = 0