Question

√133, 13, 2 pi, -11.75, order these from least to greatest

Answer 1

To order the numbers \( \sqrt{133} \), \( 13 \), \( 2\pi \), and \( -11.75 \) from least to greatest, we first need to approximate the values:

1. **Calculate \( \sqrt{133} \)**:
\[
\sqrt{133} \approx 11.53 \quad (\text{since } 11^2 = 121 \text{ and } 12^2 = 144)
\]

2. **Determine \( 13 \)**:
\[
13 = 13
\]

3. **Calculate \( 2\pi \)**:
\[
2\pi \approx 2 \times 3.14 = 6.28
\]

4. **Confirm \( -11.75 \)**:
\[
-11.75 = -11.75
\]

Now we have the approximate values:
- \( \sqrt{133} \approx 11.53 \)
- \( 13 = 13 \)
- \( 2\pi \approx 6.28 \)
- \( -11.75 = -11.75 \)

Now, we can order them:
- The smallest is \( -11.75 \).
- Next is \( 2\pi \approx 6.28 \).
- Then \( \sqrt{133} \approx 11.53 \).
- Finally, \( 13 \).

Thus, the order from least to greatest is:
\[
-11.75, 2\pi, \sqrt{133}, 13
\]