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



Smallest number at the bottom

Numbers: 3^2, 2^3, |7|, square root 16, |-2|, -5

Answer 1

To order the numbers from greatest to least, let's calculate each expression:

1. \(3^2 = 9\)
2. \(2^3 = 8\)
3. \(|7| = 7\)
4. \(\sqrt{16} = 4\)
5. \(|-2| = 2\)
6. \(-5 = -5\)

Now, we have the following values:
- \(9\)
- \(8\)
- \(7\)
- \(4\)
- \(2\)
- \(-5\)

Ordering these from greatest to least:

1. \(9\) (from \(3^2\))
2. \(8\) (from \(2^3\))
3. \(7\) (from \(|7|\))
4. \(4\) (from \(\sqrt{16}\))
5. \(2\) (from \(|-2|\))
6. \(-5\)

So the ordered list from greatest to least is:
1. \(3^2\)
2. \(2^3\)
3. \(|7|\)
4. \(\sqrt{16}\)
5. \(|-2|\)
6. \(-5\)