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.

1 answer

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