Answer :

Final answer:

There are 11 perfect squares between -101 and 101. This is because perfect squares can only be positive or zero, and this includes 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Explanation:

The number of perfect squares between -101 and 101 is the same as the number of perfect squares between 0 and 101. Perfect squares are the result of integer numbers multiplied by themselves, and these cannot be negative.

You start from 0 (since 0 * 0 = 0 is also a perfect square), then go to 1, 4, 9, 16, and so forth, until you reach a square that is over 101.

Counting these, it's clear that there are 11 perfect squares between 0 and 101 (0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100), so the number of perfect squares between -101 and 101 is also 11.

Learn more about perfect squares here:

brainly.com/question/34063927

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