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

Question

Responses

−0.3
is less than 1/5
.
negative 0 point 3 is less than 1 fifth.

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

−3/5
is greater than 0
.

Answer 1

To identify the three true statements, let's evaluate each one:

1. −0.3 is less than 1/5:

   • Convert 1/5 to a decimal: 1/5 = 0.2.
   • Since -0.3 (−0.3) is less than 0.2, this statement is true.

2. 0.6 is greater than 1:

   • 0.6 is actually less than 1. Thus, this statement is false.

3. −1 is less than −4/5:

   • Convert -4/5 to a decimal: -4/5 = -0.8.
   • Since -1 (−1) is less than -0.8, this statement is true.

4. 0 is greater than −0.5:

   • 0 is indeed greater than -0.5. Thus, this statement is true.

5. −3/5 is greater than 0:

   • Convert -3/5 to a decimal: -3/5 = -0.6.
   • Since -0.6 is less than 0, this statement is false.

The three true statements are:

1. −0.3 is less than 1/5.
2. −1 is less than −4/5.
3. 0 is greater than −0.5.