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

Question

|−1.5|, −2, 0, ,
−2, −1.5, 0, ,
−2, −1.5, 0, ,
−1.5, −2, 0, ,

Answer 1

To determine which of the provided lists is ordered from least to greatest, we need to evaluate the absolute value and the numbers given:

1. Calculate the absolute value:
   • \(|-1.5| = 1.5\)

Now we can evaluate the lists:

1. List: \(|-1.5|, −2, 0\)

   • Values: \(1.5, -2, 0\)
   • Order: \(-2, 0, 1.5\) (not ordered from least to greatest)

2. List: \(−2, −1.5, 0\)

   • Values: \(-2, -1.5, 0\)
   • Order: \(-2, -1.5, 0\) (correctly ordered from least to greatest)

3. List: \(−2, −1.5, 0\)

   • Values: \(-2, -1.5, 0\)
   • Order: \(-2, -1.5, 0\) (correctly ordered from least to greatest)

4. List: \(−1.5, −2, 0\)

   • Values: \(-1.5, -2, 0\)
   • Order: \(-2, -1.5, 0\) (not ordered from least to greatest)

Thus, the lists that are ordered from least to greatest are:

• \(−2, −1.5, 0\) (two occurrences).