Order the numbers from smallest to largest (smallest on the far left and largest on the far right)

−3^2
−3 
√9 
|4|
|-5|
2^3

1 answer

Let's evaluate each expression first:

  1. \(-3^2\) = \(-9\) (Note: this is negative three squared, which is different from \((-3)^2\)).
  2. \(-3\) = \(-3\)
  3. \(\sqrt{9}\) = \(3\)
  4. \(|4|\) = \(4\)
  5. \(|-5|\) = \(5\)
  6. \(2^3\) = \(8\)

Now, let's list these results:

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

Now we can order them from smallest to largest:

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

So, the final ordered list is:

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