Which of the following (rational number) lies between 0 and -1?a)0b)-3...
Option C: -2/3, because -2/3 is a rational number that lies between 0 and -1. The number 0 is greater than -2/3, and -3 is less than -1, while 4/3 is greater than 1, making it outside the range.
Which of the following (rational number) lies between 0 and -1?a)0b)-3...
Understanding the Range of Numbers
To determine which rational number lies between 0 and -1, we need to analyze the given options carefully.
Analyzing the Options
- Option a: 0
- This number is not between 0 and -1; it is the upper limit of this range.
- Option b: -3
- This number is less than -1, thus it does not lie in the desired range.
- Option c: -2/3
- This is a negative rational number. To confirm it lies between 0 and -1, we can assess its value:
- -2/3 is approximately -0.67, which is greater than -1 but less than 0. Therefore, it fits perfectly in the range.
- Option d: 4/3
- This number is positive and greater than 1, thus it is outside the specified range.
Conclusion
The only number that fits the criteria of being between 0 and -1 is:
- -2/3 (Option c)
This shows that -2/3 is the correct answer because it is negative and falls within the bounds of 0 and -1.