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 −4/5
.
negative 1 is less than negative 4 fifths.

−0.3
is less than 1/5
.

1 answer

To determine which statements are true, let's analyze each one individually:

  1. −35 is greater than 0

    • This statement is false. -35 is a negative number and is less than 0.
  2. negative 3 fifths is greater than 0.

    • This statement is false. Negative 3 fifths (-0.6) is also a negative number and is less than 0.
  3. 0 is greater than −0.5.

    • This statement is true. 0 is indeed greater than -0.5.
  4. 0 is greater than negative 0 point 5.

    • This statement is also true. It is the same as the previous statement, just phrased differently.
  5. 0.6 is greater than 1.

    • This statement is false. 0.6 (or 3/5) is less than 1.
  6. −1 is less than −4/5.

    • This statement is true. -1 is less than -0.8 (or -4/5).
  7. −0.3 is less than 1/5.

    • This statement is true. -0.3 (or -3/10) is less than 0.2 (or 1/5).

Based on the analysis, the three true statements are:

  • 0 is greater than −0.5.
  • 0 is greater than negative 0 point 5.
  • −1 is less than −4/5.
  • −0.3 is less than 1/5.

Since only three true statements are requested, we can list these three:

  1. 0 is greater than −0.5.
  2. 0 is greater than negative 0 point 5.
  3. −1 is less than −4/5.