Four people have found the distance in kilometers across a small bridge using different methods.

Question

Their results are given in the table. Order the distances from least to greatest.
Mindy Aaron Tanya Harold
5.5¯¯ 23/4 √28 5 1/2

(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

To order the distances from least to greatest, we first need to evaluate the values given.

1. Mindy: 5.5 (which is the same as 5 1/2)
2. Aaron: \( \frac{23}{4} = 5.75 \)
3. Tanya: \( \sqrt{28} \approx 5.29 \)
4. Harold: 5 1/2 (which is also 5.5)

Now, let's summarize these values in decimal form for easier comparison:

• Mindy: 5.5
• Aaron: 5.75
• Tanya: \( \sqrt{28} \approx 5.29 \)
• Harold: 5.5

Next, we can order them:

1. Tanya: \( \sqrt{28} \approx 5.29 \)
2. Mindy: 5.5
3. Harold: 5.5
4. Aaron: 5.75

Since 5.5 and 5 1/2 are the same, we can treat them as equal.

Now we can write the ordered distances from least to greatest:

• \( \sqrt{28} \), 5.5 (or 5 1/2), 5.5 (or 5 1/2), 5.75 (or \( \frac{23}{4} \))

The closest option that matches this ordering is:

√28, 5 1/2, 5.5¯¯¯, 23/4.