Which is bigger: 3/8 or 0.38?

Answer 1

#0.38#

The simplest way to make the comparison is to simply perform the division indicated by the fraction to get the equivalent decimal value. Going the other way (decimal to fraction) can be done, but is much harder. #3/8 = 0.375# which is clearly smaller than #0.38#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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