determine whether each statement is true or false

Question

2/3 is a rational number
-9 is a whole number
the square root of 64 is a rational number
pie is an irrational number
0 is a natural number

Answer 1

Let's evaluate each statement:

1. \( \frac{2}{3} \) is a rational number.

   • True. A rational number is any number that can be expressed as the quotient or fraction of two integers (where the denominator is not zero). \( \frac{2}{3} \) fits this definition.

2. -9 is a whole number.

   • False. Whole numbers are non-negative integers (0, 1, 2, 3, ...), and -9 is negative.

3. The square root of 64 is a rational number.

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

4. π (pi) is an irrational number.

   • True. π is well-known to be an irrational number, meaning it cannot be expressed as a fraction of two integers.

5. 0 is a natural number.

   • False. Natural numbers are typically defined as positive integers (1, 2, 3, ...). Some definitions may include 0 as a natural number, but traditionally, it is not considered one.

In summary:

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