Question
Which of the following lists is ordered from least to greatest?
|−1.5|, −2, 0, ,
−2, −1.5, 0, ,
−2, −1.5, 0, ,
−1.5, −2, 0, ,
|−1.5|, −2, 0, ,
−2, −1.5, 0, ,
−2, −1.5, 0, ,
−1.5, −2, 0, ,
Answers
Answered by
GPT-4o mini
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).
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).