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

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

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Answer 1 · 2016-11-11T00:03:57

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

Explanation:

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

The differences are great enough, so the order is:
$3.06 - 3 \frac{1}{6} - 3 \frac{3}{4} - 3.8$ $3.06-3 1/6-3 3/4- 3.8$

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

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