A number line going from negative 1 to positive 1 in increments of 1. There are 5 equal spaces between each number.

Question

Select all the statements that are true.
–1 is less than Negative StartFraction 4 Over 5 EndFraction.
–0.3 is less than One-fifth.
0.6 is greater than 1.
0 is greater than –0.5.
Negative three-fifths is equal to –0.6.

Answer 1

Let's evaluate each statement one by one:

1. –1 is less than Negative StartFraction 4 Over 5 EndFraction.

   • This statement is true because \(-1\) is less than \(-0.8\) (which is \(-\frac{4}{5}\)).

2. –0.3 is less than One-fifth.

   • This statement is also true. \(-0.3\) is less than \(0.2\) (which is \(\frac{1}{5}\)).

3. 0.6 is greater than 1.

   • This statement is false. \(0.6\) is less than \(1\).

4. 0 is greater than –0.5.

   • This statement is true. \(0\) is indeed greater than \(-0.5\).

5. Negative three-fifths is equal to –0.6.

   • This statement is false. \(-\frac{3}{5}\) is equal to \(-0.6\) (since \(-\frac{3}{5} = -0.6\)).

So, the true statements are:

• –1 is less than Negative StartFraction 4 Over 5 EndFraction.
• –0.3 is less than One-fifth.
• 0 is greater than –0.5.
• Negative three-fifths is equal to –0.6.

The false statements are:

• 0.6 is greater than 1.