Question

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Part 1
You have 6 clay pots that you want to display in order from shortest to tallest. Write the heights of the pots in order from least to greatest.
StartRoot 5 EndRoot in.
2.4 in.
1 and one third in.
StartRoot 7 EndRoot in.
1.6 in.
2.5 in.
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Part 1
Choose the correct answer below.
A.
1 and one third
​in., 2.5 ​in., 1.6 ​in., 2.4 ​in., StartRoot 5 EndRoot ​in., StartRoot 7 EndRoot in.
B.
StartRoot 7 EndRoot ​in., 2.5 ​in., 2.4 ​in., StartRoot 5 EndRoot ​in., 1.6 ​in., 1 and one third
in.
C.
1 and one third
​in., 1.6 ​in., StartRoot 5 EndRoot ​in., 2.4 ​in., 2.5 ​in., StartRoot 7 EndRoot in.
D.
StartRoot 7 EndRoot ​in., 1.6 ​in., 2.4 ​in., 2.5 ​in., 1 and one third
​in., StartRoot 5 EndRoot in.

Answer 1

To order the heights of the clay pots, we need to first convert all the values to decimal format for easier comparison. Here are the values:

1. \(1\frac{1}{3} \text{ in.} = 1.33 \text{ in.}\)
2. \(1.6 \text{ in.} = 1.6 \text{ in.}\)
3. \(2.4 \text{ in.} = 2.4 \text{ in.}\)
4. \(2.5 \text{ in.} = 2.5 \text{ in.}\)
5. \(\sqrt{5} \text{ in.} \approx 2.236 \text{ in.}\)
6. \(\sqrt{7} \text{ in.} \approx 2.646 \text{ in.}\)

Now, we can list these values in decimal format:

- \(1.33\)
- \(1.6\)
- \(2.236\)
- \(2.4\)
- \(2.5\)
- \(2.646\)

Now, let's arrange them in order from least to greatest:

1. \(1.33\) (1 and one third in.)
2. \(1.6\) (1.6 in.)
3. \(2.236\) (\(\sqrt{5}\) in.)
4. \(2.4\) (2.4 in.)
5. \(2.5\) (2.5 in.)
6. \(2.646\) (\(\sqrt{7}\) in.)

Now, we enter them in order:

1 and one third in., 1.6 in., StartRoot 5 EndRoot in., 2.4 in., 2.5 in., StartRoot 7 EndRoot in.

Now, let's check with the provided options:

A. 1 and one third in., 2.5 in., 1.6 in., 2.4 in., StartRoot 5 EndRoot in., StartRoot 7 EndRoot in.

B. StartRoot 7 EndRoot in., 2.5 in., 2.4 in., StartRoot 5 EndRoot in., 1.6 in., 1 and one third in.

C. 1 and one third in., 1.6 in., StartRoot 5 EndRoot in., 2.4 in., 2.5 in., StartRoot 7 EndRoot in.

D. StartRoot 7 EndRoot in., 1.6 in., 2.4 in., 2.5 in., 1 and one third in., StartRoot 5 EndRoot in.

The correct order corresponds to option C. The final answer is:

**C. 1 and one third in., 1.6 in., StartRoot 5 EndRoot in., 2.4 in., 2.5 in., StartRoot 7 EndRoot in.**