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

Question

True False
-9 is a whole number.

2/3
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:

1. -9 is a whole number.
   False. Whole numbers are non-negative integers: 0, 1, 2, 3, ... -9 is negative.

2. 2/3 is a rational number.
   True. Rational numbers can be expressed as the quotient of two integers, where the denominator is not zero. 2/3 fits this definition.

3. 64−−√ is a rational number.
   True. The square root of 64 is 8, which is a whole number and therefore rational.

4. 0 is a natural number.
   False. By common convention, natural numbers are the positive integers: 1, 2, 3, ... Some definitions include 0, but the most prevalent 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.

So the evaluations are:

• -9 is a whole number: False
• 2/3 is a rational number: True
• 64−−√ is a rational number: True
• 0 is a natural number: False
• π is an irrational number: True