How do you order the rational numbers from least to greatest: 3.8, 3.06, 3 1/6, 3 3/4?

Answer 1

Since they all are of the kind "3 plus something" we only look at the "plus something".

And then we try to find a way to compare them. #0.8=8/10=80/100# #0.06=6/100# #3/4=75/100# The only problem is #1/6# because we can't express that as #100#th's, but we know that it's #=16/96# which is a bit larger, but close to #16/100#

The differences are great enough, so the order is: #3.06-3 1/6-3 3/4- 3.8#

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Answer 2

Riley Anderson

To order the rational numbers from least to greatest: 3.8, 3.06, 3 1/6, 3 3/4, follow these steps:

Convert any mixed numbers to improper fractions.
Compare the numbers.

The rational numbers ordered from least to greatest are:

3.06
3 1/6 (which is equivalent to 3.1666...)
3.8
3 3/4 (which is equivalent to 3.75)

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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.