Question

Determine 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.


0 is a natural number.


π
is an irrational number.

Answer 1

Let's evaluate each statement one by one:

1. **-9 is a whole number.**
**False** - Whole numbers are non-negative integers (0, 1, 2, ...), and -9 is a negative integer.

2. **23 is a rational number.**
**True** - Rational numbers are numbers that can be expressed as a fraction (where the numerator and denominator are integers, and the denominator is not zero). Since 23 can be expressed as 23/1, it is a rational number.

3. **64−−√ is a rational number.**
**True** - The square root of 64 is 8, which is a rational number.

4. **0 is a natural number.**
**False** - In most definitions, natural numbers start from 1 (1, 2, 3, ...). Some definitions may include 0, but the more commonly accepted definition does not.

5. **π is an irrational number.**
**True** - π (pi) cannot be expressed as a fraction of two integers, making it an irrational number.

In summary:

1. **-9 is a whole number.** - **False**
2. **23 is a rational number.** - **True**
3. **64−−√ is a rational number.** - **True**
4. **0 is a natural number.** - **False**
5. **π is an irrational number.** - **True**