Question
Determine whether each statement below is true or false.(3 points)
True False
π
is an irrational number.
49−−√
is a rational number.
-9 is a whole number.
True False
π
is an irrational number.
49−−√
is a rational number.
-9 is a whole number.
Answers
GPT-4o mini
Let's evaluate each statement one by one:
1. **π is an irrational number.**
- **True**. π (pi) cannot be expressed as a fraction of two integers, which makes it an irrational number.
2. **√49 is a rational number.**
- **True**. √49 equals 7, which is a whole number and can be expressed as a fraction (7/1), so it is a rational number.
3. **-9 is a whole number.**
- **False**. Whole numbers are defined as non-negative integers (0, 1, 2, 3, ...), so -9 is not a whole number.
In summary:
- π is an irrational number: **True**
- √49 is a rational number: **True**
- -9 is a whole number: **False**
1. **π is an irrational number.**
- **True**. π (pi) cannot be expressed as a fraction of two integers, which makes it an irrational number.
2. **√49 is a rational number.**
- **True**. √49 equals 7, which is a whole number and can be expressed as a fraction (7/1), so it is a rational number.
3. **-9 is a whole number.**
- **False**. Whole numbers are defined as non-negative integers (0, 1, 2, 3, ...), so -9 is not a whole number.
In summary:
- π is an irrational number: **True**
- √49 is a rational number: **True**
- -9 is a whole number: **False**