Determine whether each statement below is true or false.(5 points)

Question

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

Answer 1

Let's evaluate each statement:

1. √64 is a rational number.
   True - √64 = 8, which is a rational number.

2. -9 is a whole number.
   False - Whole numbers are non-negative integers (0, 1, 2, ...), so -9 is not a whole number.

3. 0 is a natural number.
   False - Natural numbers are typically defined as positive integers (1, 2, 3, ...). Some definitions include 0, but it is commonly excluded.

4. 2/3 is a rational number.
   True - 2/3 is a fraction, which is a type of rational number.

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

So, the answers are:

1. True
2. False
3. False
4. True
5. True