Question

Order the numbers from greatest to least. Ensure you are ordering as follows (use the number line to help you visualize this):

Largest number at the top


options:

2^3
|-2|
-5
v6
|7|
3^2

Answer 1

To order the numbers from greatest to least, we first need to evaluate each expression:

1. \( 2^3 = 8 \)
2. \( |-2| = 2 \)
3. \( -5 = -5 \)
4. \( v6 = \sqrt{6} \approx 2.45 \)
5. \( |7| = 7 \)
6. \( 3^2 = 9 \)

Now we can list these evaluated results:

- \( 2^3 = 8 \)
- \( |-2| = 2 \)
- \( -5 = -5 \)
- \( v6 = \sqrt{6} \approx 2.45 \)
- \( |7| = 7 \)
- \( 3^2 = 9 \)

Next, we arrange these values from greatest to least:

1. \( 3^2 = 9 \)
2. \( 2^3 = 8 \)
3. \( |7| = 7 \)
4. \( v6 = \sqrt{6} \approx 2.45 \)
5. \( |-2| = 2 \)
6. \( -5 = -5 \)

Thus, the final order from greatest to least is:

1. \( 3^2 \)
2. \( 2^3 \)
3. \( |7| \)
4. \( v6 \)
5. \( |-2| \)
6. \( -5 \)