Question

Four people have found the distance in kilometers across a small bridge using different methods. Their results are given in the table. Order the distances from least to greatest. (1 point) Responses
5 1/2, 28√, 5.5¯¯¯, 23/4
28√, 5 1/2, 5.5¯¯¯, 23/4
28√, 5.5¯¯¯, 23/4, 5 1/2
23/4 , 5.5¯¯¯, 28√, 5 1/2

Answer 1

are you sure!

Answer 2

I SAID ARE YOU SURE

Answer 3

To order the given distances from least to greatest, we need to convert all the values into a common format that allows for easy comparison.

1. **5 1/2** = 5.5
2. **28√** = 28 * √(1) = 28 (since √(1) = 1)
3. **5.5¯¯¯** = This represents the repeating decimal 5.555...
4. **23/4** = 23 ÷ 4 = 5.75

Now we can summarize the distances:

- 5.5 (from 5 1/2)
- 28 (from 28√)
- 5.555... (from 5.5¯¯¯)
- 5.75 (from 23/4)

Now we can list these in numerical form:

- 5.5
- 5.555...
- 5.75
- 28

Ordering from least to greatest, we get:

1. 5.5 (5 1/2)
2. 5.555... (5.5¯¯¯)
3. 5.75 (23/4)
4. 28 (28√)

Therefore, the correct order from the provided options is:

**23/4 , 5.5¯¯¯, 28√, 5 1/2**.

Answer 4

I apologize for any confusion in my previous response. Let's carefully re-evaluate the distances to ensure we have the correct order.

We have the following distances:

1. **5 1/2** = \( 5.5 \)
2. **28√** = \( 28 \) (assuming this means \( 28 \times √(1) = 28 \))
3. **5.5¯¯¯** = \( 5.555... \) (which is a repeating decimal)
4. **23/4** = \( 23 ÷ 4 = 5.75 \)

Now we can summarize again:

- \( 5 1/2 = 5.5 \)
- \( 28√ = 28 \)
- \( 5.5¯¯¯ = 5.555... \)
- \( 23/4 = 5.75 \)

Next, we'll list these in decimal form for a clear comparison:

1. **5.5** (5 1/2)
2. **5.555...** (5.5¯¯¯)
3. **5.75** (23/4)
4. **28** (28√)

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

- **5.5 (5 1/2)**
- **5.555... (5.5¯¯¯)**
- **5.75 (23/4)**
- **28 (28√)**

The ordering is correct:
1. \( 5.5 \)
2. \( 5.555... \)
3. \( 5.75 \)
4. \( 28 \)

Given the original options presented, the correctly ordered distances from least to greatest is:
- **5 1/2, 5.5¯¯¯, 23/4, 28√**

Thank you for your patience, and I appreciate your prompting to clarify!

Answer 5

I apologize for any confusion caused. Let's go through it one more time very carefully to ensure that we arrive at the correct ordering for the values provided.

1. **5 1/2** = \( 5.5 \)
2. **28√** = \( 28 \) (which is simply \( 28 \))
3. **5.5¯¯¯** = \( 5.555...\) (this is a repeating decimal that is greater than \( 5.5 \))
4. **23/4** = \( 5.75 \) (since \( 23 \div 4 = 5.75 \))

Now let's confirm the approximate values of each distance again:

- **5 1/2** = \( 5.5 \)
- **5.5¯¯¯** = \( 5.555...\)
- **23/4** = \( 5.75 \)
- **28√** = \( 28 \)

Now I'll put these in order from least to greatest:

1. **5.5** (which is \( 5 1/2 \))
2. **5.555...** (which is \( 5.5¯¯¯ \))
3. **5.75** (which is \( 23/4 \))
4. **28** (which is \( 28√ \))

This results in the final ordering as follows:
1. \( 5.5 \) (5 1/2)
2. \( 5.555...\) (5.5¯¯¯)
3. \( 5.75 \) (23/4)
4. \( 28 \) (28√)

So the correct order from least to greatest would indeed be:

**5 1/2, 5.5¯¯¯, 23/4, 28√**

Thank you for your persistence. If there are any further details you need, or any other confusion, please feel free to ask!