Order the numbers from smallest to largest

1. |4|
2. sqrt9
3. -3
4. |-5|
5. -3^2
6. 2^3

1 answer

Let's evaluate each expression:

  1. \(|4| = 4\)
  2. \(\sqrt{9} = 3\)
  3. \(-3 = -3\)
  4. \(|-5| = 5\)
  5. \(-3^2 = -9\) (Note: This is interpreted as \(-(3^2) = -9\) because exponentiation has a higher precedence than negation.)
  6. \(2^3 = 8\)

Now we have the evaluated numbers:

  • \(4\)
  • \(3\)
  • \(-3\)
  • \(5\)
  • \(-9\)
  • \(8\)

Now, order these numbers from smallest to largest:

  • \(-9\)
  • \(-3\)
  • \(3\)
  • \(4\)
  • \(5\)
  • \(8\)

So the numbers ordered from smallest to largest are: \[ -9, -3, 3, 4, 5, 8 \]