Select the three true statements. You can use the number line to the left as needed.(3 points)

Responses

−35
is greater than 0
.
negative 3 fifths is greater than 0.

0
is greater than −0.5
.
0 is greater than negative 0 point 5.

0.6
is greater than 1
.
0 point 6 is greater than 1.

−1
is less than −45
.
negative 1 is less than negative 4 fifths.

−0.3
is less than 15
.

1 answer

Let's evaluate each of the statements one by one:

  1. −35 is greater than 0.
    This statement is false. −35 is less than 0.

  2. negative 3 fifths is greater than 0.
    This statement is false. Negative 3 fifths (−0.6) is less than 0.

  3. 0 is greater than −0.5.
    This statement is true. 0 is greater than −0.5.

  4. 0 is greater than negative 0 point 5.
    This statement is also true. 0 is greater than −0.5.

  5. 0.6 is greater than 1.
    This statement is false. 0.6 is less than 1.

  6. −1 is less than −45.
    This statement is true. −1 is greater than −45, but it is still less than −1.

  7. negative 1 is less than negative 4 fifths.
    This statement is true. -1 is less than -0.8 (or -4/5).

  8. −0.3 is less than 15.
    This statement is true. −0.3 is indeed less than 15.

Based on this evaluation, the three true statements are:

  1. 0 is greater than −0.5.
  2. 0 is greater than negative 0 point 5.
  3. −0.3 is less than 15.

(Note: If we select three statements, the two versions of the same statement can be combined as one.)