Order the numbers from smallest to largest (smallest on the far left and largest on the far right):(6 points)

l -4 l,
square root of 9
-3
l 5 l
-3^2
2^3

1 answer

Let's first evaluate each of the numbers you've provided:

  1. \( | -4 | = 4 \)
  2. \( \sqrt{9} = 3 \)
  3. \( -3 = -3 \)
  4. \( | 5 | = 5 \)
  5. \( -3^2 = -9 \) (Note that this is \( -(3^2) \), which equals -9)
  6. \( 2^3 = 8 \)

Now, let's list these evaluated numbers:

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

Now, we can order these numbers from smallest to largest:

  1. \( -9 \)
  2. \( -3 \)
  3. \( 3 \)
  4. \( 4 \)
  5. \( 5 \)
  6. \( 8 \)

So, the ordered list is:

\[ -9, -3, 3, 4, 5, 8 \]