Which of the following lists is ordered from least to greatest?

−1.5, −2, 0, 2/5, 3/4

−2, −1.5, 0, 3/4, 2/5

−2, −1.5, 0, 2/5, 3/4

|−1.5|, −2, 0, 2/5, 3/4

Question

Which of the following lists is ordered from least to greatest?

−1.5, −2, 0, 2/5, 3/4

−2, −1.5, 0, 3/4, 2/5

−2, −1.5, 0, 2/5, 3/4

|−1.5|, −2, 0, 2/5, 3/4

igreen · Answer

B & C are the same

mathstudent55 · Answer

What is |-1.5| = ?

igreen · Answer

A and D are wrong.

mathstudent55 · Answer

Is there a number missing at the end of each line? Each line ends in two commas. Is there a square root, or some other symbol that did not get copied missing?

anonymous · Answer

fixed it

mathstudent55 · Answer

Ok, that's better.
I still have my question.
What is |-1.5| = ?

anonymous · Answer

uh lol thats what i dont know..

mathstudent55 · Answer

The symbol | | stands for absolute value.

igreen · Answer

Absolute value changes it to a positive number.

igreen · Answer

Which makes D, A WRONG ANSWER.

mathstudent55 · Answer

Absolute value of a number is the number without a sign.
|2| = 2
|0| = 0
|-3| = 3

mathstudent55 · Answer

Now you can rewrite choice D with 1.5 instead of |-1.5|

igreen · Answer

For A:

-1.5, 2

-1.5 > 2

So A is also WRONG.

igreen · Answer

B and C are about the same, but they have the fractions 2/5 and 3/4 in them.

2 / 5 = 0.40

3 / 4 = 0.75

So 2/5 < 3/4

Which means your answer is C.

mathstudent55 · Answer

The next step is it would be helpful if you changed the fractions into decimals.
What is 2/5 = ?
What is 3/4 = ?

mathstudent55 · Answer

Then rewrite each choice with the decimals instead of the fractions and the result of the absolute value.
Then it will be easier to see if the numbers are in order.

anonymous · Answer

ok