To order the numbers from largest to smallest, let's first evaluate each number:
- \( |5| = 5 \)
- \( -4 = -4 \)
- \( -3 = -3 \)
- \( \sqrt{9} = 3 \)
- \( 2^3 = 8 \)
- \( -3^2 = -9 \) (since \( -3^2 = -(3^2) = -9 \), and the exponent applies only to 3)
Now we list these evaluated numbers:
- \( 5 \)
- \( -4 \)
- \( -3 \)
- \( 3 \)
- \( 8 \)
- \( -9 \)
Ordering these from largest to smallest, we have:
- \( 8 \)
- \( 5 \)
- \( 3 \)
- \( -3 \)
- \( -4 \)
- \( -9 \)
So, the final ordered list from largest to smallest is:
| 8 |
| 5 |
| 3 |
| -3 |
| -4 |
| -9 |