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Order the set of rational numbers from least to greatest.
[tex]\[ -4.625, -5.2, -4 \frac{4}{5}, -4 \frac{8}{11} \][/tex]

A. [tex]\(-4.625, -4 \frac{8}{11}, -4 \frac{4}{5}, -5.2\)[/tex]

B. [tex]\(-5.2, -4 \frac{4}{5}, -4.625, -4 \frac{8}{11}\)[/tex]

C. [tex]\(-4 \frac{4}{5}, -5.2, -4 \frac{8}{11}, -4.625\)[/tex]

D. [tex]\(-5.2, -4 \frac{4}{5}, -4 \frac{8}{11}, -4.625\)[/tex]



Answer :

GinnyAnswer
To order the given set of rational numbers from least to greatest, let's carefully examine each number and compare them:

1. We have the numbers:
[tex]\[ -4.625, -5.2, -4 \frac{4}{5}, -4 \frac{8}{11} \][/tex]

2. Convert the mixed numbers to improper fractions or decimals to facilitate comparison:

- [tex]\( -4 \frac{4}{5} = -4 + \frac{4}{5} = -4 + 0.8 = -4.8 \)[/tex]
- [tex]\( -4 \frac{8}{11} = -4 + \frac{8}{11} \approx -4 + 0.727 = -4.727 \)[/tex]

3. Now we have:
[tex]\[ -4.625, -5.2, -4.8, -4.727 \][/tex]

4. Arrange the numbers from least to greatest:

- The smallest number is [tex]\(-5.2\)[/tex]
- Next is [tex]\(-4.8\)[/tex]
- Then comes [tex]\(-4.727\)[/tex]
- Finally, [tex]\(-4.625\)[/tex]

So the correct order from least to greatest is:
[tex]\[ -5.2, -4.8, -4.727, -4.625 \][/tex]

Thus, the correct answer choice is:
b. [tex]\( -5.2, -4 \frac{4}{5}, -4.625, -4 \frac{8}{11} \)[/tex]

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