To determine between which two numbers -1.5 is located on a number line, we'll start by identifying the options provided: -4 and -3, -3 and -2, -2 and -1, and -1 and 0.
1. First, examine -4 and -3:
- The numbers -4 and -3 span an interval that does not include -1.5, as -1.5 is greater than -3.
2. Next, examine -3 and -2:
- The numbers -3 and -2 also span an interval that does not include -1.5, as -1.5 is greater than -2.
3. Now, examine -2 and -1:
- The numbers -2 and -1 span an interval that includes -1.5. Specifically, -1.5 is greater than -2 but less than -1.
4. Finally, examine -1 and 0:
- The numbers -1 and 0 span an interval that does not include -1.5, as -1.5 is less than -1.
Therefore, -1.5 is located between -2 and -1 on a number line.
