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

StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue 3.5 EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue
–2, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue
StartAbsoluteValue 3.5 EndAbsoluteValue, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, –2, StartAbsoluteValue negative 4.2 EndAbsoluteValue

1 answer

To order the given numbers from least to greatest, we first need to determine the absolute values of the diverse forms of numbers listed.

The numbers provided are:

  1. \( | -4.2 | = 4.2 \)
  2. \( | -\frac{4}{5} | = 0.8 \)
  3. \( | -1 | = 1 \)
  4. \( -2 = -2 \)
  5. \( | 3.5 | = 3.5 \)

Now let's calculate the values for comparison:

  • The absolute value of -4.2 is \( 4.2 \).
  • The absolute value of -0.8 is \( 0.8 \).
  • The absolute value of -1 is \( 1 \).
  • The value of -2 is \( -2 \).
  • The absolute value of 3.5 is \( 3.5 \).

Now we can list them in order from least to greatest:

  1. \( -2 \)
  2. \( -1 \) (or \( | -1 | = 1 \))
  3. \( -\frac{4}{5} \) (or \( | -\frac{4}{5} | = 0.8 \))
  4. \( 3.5 \)

Putting it all together, the correct order from least to greatest would be:

-2, -1, -0.8, 3.5

It appears there were some discrepancies in the representation of the absolute values, particularly negative values. Correcting for this, the final ordering would typically reflect as indicated.

However, based on your options:

The suitable listing from the choices you provided would appear to be:

  • –2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue

This translates to:

  • –2, 0.8, 1, 4.2, 3.5

Hence the overall correct sequence would be –2, –1, –4.2, –0.8, 3.5 respectively to express accordingly as from least to greatest.