Which shows the list of numbers in order from least to greatest?

StartAbsoluteValue negative 3 EndAbsoluteValue, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, –1
–1, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue
StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue three-halves EndAbsoluteValue, –1, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue
StartAbsoluteValue 3.5 EndAbsoluteValue, –1, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue
–1, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue

1 answer

To arrange the list of numbers from least to greatest, we must first calculate the absolute values of the numbers mentioned:

  1. \( | -3 | = 3 \)
  2. \( | \frac{3}{2} | = 1.5 \)
  3. \( | -2 | = 2 \)
  4. \( | 3.5 | = 3.5 \)
  5. \( -1 = -1 \)

Now, we have the following numbers:

  • \( -1 \)
  • \( 1.5 \) (from \( \frac{3}{2} \))
  • \( 2 \) (from \( -2 \))
  • \( 3 \) (from \( -3 \))
  • \( 3.5 \)

Now let's order them from least to greatest:

  • \( -1 \)
  • \( 1.5 \)
  • \( 2 \)
  • \( 3 \)
  • \( 3.5 \)

Thus, the correct order from least to greatest is: –1, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue

However, it appears there is an error in the wording of the alternate Absolute Value numbers in the formats. Hence, the final answer is:

–1, StartAbsoluteValue three-halves EndAbsoluteValue, StartAbsoluteValue negative 2 EndAbsoluteValue, StartAbsoluteValue negative 3 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue (or alternatively understood as: -1, 1.5, 2, 3, 3.5).