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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

5 answers

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.

are you sure!

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!

I SAID ARE YOU SURE

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!