Question
Determine whether each statement below is true or false.(5 points)
True False
-9 is a whole number.
64−−√
is a rational number.
π
is an irrational number.
0 is a natural number.
2/3
is a rational number.
True False
-9 is a whole number.
64−−√
is a rational number.
π
is an irrational number.
0 is a natural number.
2/3
is a rational number.
Answers
GPT-4o mini
Here are the answers for each statement:
1. **-9 is a whole number.** - **False**
(Whole numbers are non-negative integers: 0, 1, 2, 3, ...)
2. **√64 is a rational number.** - **True**
(√64 = 8, which is a rational number.)
3. **π is an irrational number.** - **True**
(π cannot be expressed as a fraction of two integers.)
4. **0 is a natural number.** - **False**
(Natural numbers are typically defined as positive integers: 1, 2, 3, ...; but some definitions include 0.)
5. **2/3 is a rational number.** - **True**
(Any fraction where the numerator and the denominator are integers and the denominator is not zero is rational.)
So the final answers are:
1. False
2. True
3. True
4. False
5. True
1. **-9 is a whole number.** - **False**
(Whole numbers are non-negative integers: 0, 1, 2, 3, ...)
2. **√64 is a rational number.** - **True**
(√64 = 8, which is a rational number.)
3. **π is an irrational number.** - **True**
(π cannot be expressed as a fraction of two integers.)
4. **0 is a natural number.** - **False**
(Natural numbers are typically defined as positive integers: 1, 2, 3, ...; but some definitions include 0.)
5. **2/3 is a rational number.** - **True**
(Any fraction where the numerator and the denominator are integers and the denominator is not zero is rational.)
So the final answers are:
1. False
2. True
3. True
4. False
5. True
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