Question

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

|−1.5|, −2, 0, 2/5 , 3/4
−2, −1.5, 0, 2/5 , 3/4
−2, −1.5, 0, 3/4 , 2/5
−1.5, −2, 0, 2/5 , 3/4

Answer 1

To find the correct ordered list from least to greatest, we first need to evaluate the absolute value and convert the fractions to decimal form where necessary. Here's how each number looks:

1. \(|-1.5| = 1.5\)
2. \(-2 = -2\)
3. \(0 = 0\)
4. \(2/5 = 0.4\)
5. \(3/4 = 0.75\)

Next, we can write down the numbers in decimal form:

- \(-2\)
- \(-1.5\) (which is -1.5)
- \(0\)
- \(2/5 = 0.4\)
- \(3/4 = 0.75\)

Now, putting them in order from least to greatest:

- \(-2\)
- \(-1.5\)
- \(0\)
- \(2/5 (0.4)\)
- \(3/4 (0.75)\)

The correct order from least to greatest is:

\(-2, -1.5, 0, 2/5, 3/4\)

Thus, the correct list is:

**−2, −1.5, 0, 2/5, 3/4**