Order the numbers from largest to smallest:

Largest number at the top

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Smallest number at the bottom : | -4 |, |5|, -3, √9, 2^3, -3^2

1 answer

To order the numbers from largest to smallest, let's first evaluate each number:

  1. \( |5| = 5 \)
  2. \( -4 = -4 \)
  3. \( -3 = -3 \)
  4. \( \sqrt{9} = 3 \)
  5. \( 2^3 = 8 \)
  6. \( -3^2 = -9 \) (since \( -3^2 = -(3^2) = -9 \), and the exponent applies only to 3)

Now we list these evaluated numbers:

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

Ordering these from largest to smallest, we have:

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

So, the final ordered list from largest to smallest is:

| 8 |
| 5 |
| 3 |
| -3 |
| -4 |
| -9 |