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.

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

−35
is greater than 0
.

1 answer

Let's evaluate each of the statements to determine which three are true:

  1. −0.3 is less than 15.
    True. Negative numbers are always less than positive numbers.

  2. −0.3 is less than 1/5.
    True. -0.3 (which is -3/10) is indeed less than 1/5 (which is 0.2).

  3. 0.6 is greater than 1.
    False. 0.6 is less than 1.

  4. −1 is less than −45.
    False. -1 is greater than -45.

  5. 0 is greater than −0.5.
    True. Zero is greater than any negative number.

  6. −35 is greater than 0.
    False. -35 is less than 0.

The three true statements are:

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