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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

2^3
|7|
-5
√16
|-2|
3^2

1 answer

Let's evaluate each expression to find their numerical values:

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

Now we have the following values:

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

Now we can order these numbers from greatest to least:

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

So the ordered list from greatest to least is:

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