Select the three true statements. You can use the number line to the left as needed.(3 points)Responses−0.3 is less than 15.negative 0 point 3 is less than 1 fifth.−1 is less than −45.negative 1 is less than negative 4 fifths.−35 is greater than 0.negative 3 fifths is greater than 0.0.6 is greater than 1.0 point 6 is greater than 1.0 is greater than −0.5.0 is greater than negative 0 point 5.Skip to navigation

1 answer

Let's evaluate each statement one by one:

  1. −0.3 is less than 15.
    True, because -0.3 is a negative number and any negative number is less than a positive number like 15.

  2. negative 0 point 3 is less than 1 fifth.
    True, because -0.3 is less than 0.2 (1/5).

  3. −1 is less than −45.
    False, because -1 is greater than -45.

  4. negative 1 is less than negative 4 fifths.
    True, because -1 is equal to -5/5, which is greater than -4/5.

  5. −35 is greater than 0.
    False, because -35 is a negative number and is less than 0.

  6. negative 3 fifths is greater than 0.
    False, because -3/5 is a negative number.

  7. 0.6 is greater than 1.
    False, because 0.6 is less than 1.

  8. 0 point 6 is greater than 1.
    False, same reasoning as above.

  9. 0 is greater than −0.5.
    True, because 0 is greater than -0.5.

Based on the evaluations, the three true statements are:

  1. −0.3 is less than 15.
  2. negative 0 point 3 is less than 1 fifth.
  3. negative 1 is less than negative 4 fifths.

And also: 4. 0 is greater than −0.5.

So the correct true statements are:

  1. −0.3 is less than 15.
  2. negative 0 point 3 is less than 1 fifth.
  3. negative 1 is less than negative 4 fifths.

OR if counting the additional one:

  • 0 is greater than −0.5.

Choose accordingly based on the expected number of options.