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No. In fact, all the squares of numbers between 0 and 1 are smaller than the originals. The exact opposite is true for numbers between -1 and 0.

i.e. 0.52 = 0.25. This is because when you square 0.5, you are taking one half of one half, which is one quarter.

i.e. -0.52 = -0.25. This is because here, you are doing the same thing, except attaching a negative sign in front. -0.25 is larger than -0.5 because it is closer to zero.

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Q: Is the square of every number between 0 and 1 larger than the number itself?
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Does the square root of 2 or 1.5 have the greater value?

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