Question
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.
1.8 in.
StartRoot 5 EndRoot in.
1.6 in.
StartRoot 8 EndRoot in.
1 and two thirds in.
2.5 in.
Question content area bottom
Part 1
Choose the correct answer below.
A.
StartRoot 8 EndRoot in., 2.5 in., StartRoot 5 EndRoot in., 1.8 in., 1 and two thirds
in., 1.6 in.
B.
1.6 in., 2.5 in., 1 and two thirds
in., StartRoot 5 EndRoot in., 1.8 in., StartRoot 8 EndRoot in.
C.
StartRoot 8 EndRoot in., 1 and two thirds
in., StartRoot 5 EndRoot in., 2.5 in., 1.6 in., 1.8 in.
D.
1.6 in., 1 and two thirds
in., 1.8 in., StartRoot 5 EndRoot in., 2.5 in., StartRoot 8 EndRoot in.
1.8 in.
StartRoot 5 EndRoot in.
1.6 in.
StartRoot 8 EndRoot in.
1 and two thirds in.
2.5 in.
Question content area bottom
Part 1
Choose the correct answer below.
A.
StartRoot 8 EndRoot in., 2.5 in., StartRoot 5 EndRoot in., 1.8 in., 1 and two thirds
in., 1.6 in.
B.
1.6 in., 2.5 in., 1 and two thirds
in., StartRoot 5 EndRoot in., 1.8 in., StartRoot 8 EndRoot in.
C.
StartRoot 8 EndRoot in., 1 and two thirds
in., StartRoot 5 EndRoot in., 2.5 in., 1.6 in., 1.8 in.
D.
1.6 in., 1 and two thirds
in., 1.8 in., StartRoot 5 EndRoot in., 2.5 in., StartRoot 8 EndRoot in.
Answers
GPT-4o mini
To determine the correct order of the pot heights from shortest to tallest, we first need to convert each height to decimal form for easier comparison:
1. **1.6 in.** - This is already in decimal form.
2. **1 and two thirds in.** - This is equal to \(1 + \frac{2}{3} = 1 + 0.6667 \approx 1.6667 \) in.
3. **1.8 in.** - This is already in decimal form.
4. **StartRoot 5 EndRoot in.** - This is the square root of 5, which is approximately \( \sqrt{5} \approx 2.236 \) in.
5. **StartRoot 8 EndRoot in.** - This is the square root of 8, which is approximately \( \sqrt{8} \approx 2.828 \) in.
6. **2.5 in.** - This is already in decimal form.
Now listed in decimal form, we have:
- 1.6 in. = 1.6
- 1 and two thirds in. = 1.6667
- 1.8 in. = 1.8
- StartRoot 5 EndRoot in. = 2.236
- 2.5 in. = 2.5
- StartRoot 8 EndRoot in. = 2.828
Arranging these heights in ascending order:
1. **1.6 in.**
2. **1 and two thirds in. (1.6667 in.)**
3. **1.8 in.**
4. **StartRoot 5 EndRoot in. (2.236 in.)**
5. **2.5 in.**
6. **StartRoot 8 EndRoot in. (2.828 in.)**
Now let's match this order with the provided options:
A. \( \sqrt{8} \) in., 2.5 in., \( \sqrt{5} \) in., 1.8 in., 1 and two thirds in., 1.6 in.
B. 1.6 in., 2.5 in., 1 and two thirds in., \( \sqrt{5} \) in., 1.8 in., \( \sqrt{8} \) in.
C. \( \sqrt{8} \) in., 1 and two thirds in., \( \sqrt{5} \) in., 2.5 in., 1.6 in., 1.8 in.
D. 1.6 in., 1 and two thirds in., 1.8 in., \( \sqrt{5} \) in., 2.5 in., \( \sqrt{8} \) in.
The correct order based on our assessment aligns with:
**D. 1.6 in., 1 and two thirds in., 1.8 in., \( \sqrt{5} \) in., 2.5 in., \( \sqrt{8} \) in.**
1. **1.6 in.** - This is already in decimal form.
2. **1 and two thirds in.** - This is equal to \(1 + \frac{2}{3} = 1 + 0.6667 \approx 1.6667 \) in.
3. **1.8 in.** - This is already in decimal form.
4. **StartRoot 5 EndRoot in.** - This is the square root of 5, which is approximately \( \sqrt{5} \approx 2.236 \) in.
5. **StartRoot 8 EndRoot in.** - This is the square root of 8, which is approximately \( \sqrt{8} \approx 2.828 \) in.
6. **2.5 in.** - This is already in decimal form.
Now listed in decimal form, we have:
- 1.6 in. = 1.6
- 1 and two thirds in. = 1.6667
- 1.8 in. = 1.8
- StartRoot 5 EndRoot in. = 2.236
- 2.5 in. = 2.5
- StartRoot 8 EndRoot in. = 2.828
Arranging these heights in ascending order:
1. **1.6 in.**
2. **1 and two thirds in. (1.6667 in.)**
3. **1.8 in.**
4. **StartRoot 5 EndRoot in. (2.236 in.)**
5. **2.5 in.**
6. **StartRoot 8 EndRoot in. (2.828 in.)**
Now let's match this order with the provided options:
A. \( \sqrt{8} \) in., 2.5 in., \( \sqrt{5} \) in., 1.8 in., 1 and two thirds in., 1.6 in.
B. 1.6 in., 2.5 in., 1 and two thirds in., \( \sqrt{5} \) in., 1.8 in., \( \sqrt{8} \) in.
C. \( \sqrt{8} \) in., 1 and two thirds in., \( \sqrt{5} \) in., 2.5 in., 1.6 in., 1.8 in.
D. 1.6 in., 1 and two thirds in., 1.8 in., \( \sqrt{5} \) in., 2.5 in., \( \sqrt{8} \) in.
The correct order based on our assessment aligns with:
**D. 1.6 in., 1 and two thirds in., 1.8 in., \( \sqrt{5} \) in., 2.5 in., \( \sqrt{8} \) in.**