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.

Mindy lAron l Tuna l Bob
5.5¯ l 23/4l √28 l 5 1/2l
5.5¯ l

Answer 1

To order the distances from least to greatest, let's first convert all the values into a numerical format.

1. **Mindy**: \( 5.5 \overline{(5)} \) is the same as \( 5.555... \), which is a repeating decimal.

2. **Aron**: \( \frac{23}{4} \) can be converted to a decimal:
\[
\frac{23}{4} = 5.75
\]

3. **Tuna**: \( \sqrt{28} \):
\[
\sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7} \approx 2 \times 2.64575 \approx 5.2915
\]

4. **Bob**: \( 5 \frac{1}{2} \) can be converted to a decimal:
\[
5 \frac{1}{2} = 5.5
\]

Now we have the following distances:

- Mindy: \( 5.555... \)
- Aron: \( 5.75 \)
- Tuna: \( 5.2915 \)
- Bob: \( 5.5 \)

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

1. Tuna: \( 5.2915 \)
2. Bob: \( 5.5 \)
3. Mindy: \( 5.555... \)
4. Aron: \( 5.75 \)

So the order from least to greatest is:

**Tuna < Bob < Mindy < Aron**