Question
etermine whether each statement below is true or false.(5 points) True False -9 is a whole number. 23 is a rational number. 64−−√ is a rational number. π is an irrational number. 0 is a natural number.
Answers
GPT-4o mini
Let's evaluate each statement:
1. **-9 is a whole number.**
**False** - Whole numbers are non-negative integers (0, 1, 2, 3, ...), and -9 is negative.
2. **23 is a rational number.**
**True** - Any integer (including 23) is a rational number because it can be expressed as a fraction (23/1).
3. **64−−√ is a rational number.**
**True** - The square root of 64 is 8, which is a rational number.
4. **π is an irrational number.**
**True** - π (pi) cannot be expressed as a simple fraction, which makes it an irrational number.
5. **0 is a natural number.**
**False** - Natural numbers generally start from 1 (1, 2, 3, ...). However, some definitions include 0, but traditionally they do not.
Summary:
- -9 is a whole number: **False**
- 23 is a rational number: **True**
- 64−−√ is a rational number: **True**
- π is an irrational number: **True**
- 0 is a natural number: **False**
1. **-9 is a whole number.**
**False** - Whole numbers are non-negative integers (0, 1, 2, 3, ...), and -9 is negative.
2. **23 is a rational number.**
**True** - Any integer (including 23) is a rational number because it can be expressed as a fraction (23/1).
3. **64−−√ is a rational number.**
**True** - The square root of 64 is 8, which is a rational number.
4. **π is an irrational number.**
**True** - π (pi) cannot be expressed as a simple fraction, which makes it an irrational number.
5. **0 is a natural number.**
**False** - Natural numbers generally start from 1 (1, 2, 3, ...). However, some definitions include 0, but traditionally they do not.
Summary:
- -9 is a whole number: **False**
- 23 is a rational number: **True**
- 64−−√ is a rational number: **True**
- π is an irrational number: **True**
- 0 is a natural number: **False**