etermine 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. π is an irrational number. 0 is a natural number.

1 answer

Let's evaluate each statement:

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

  2. 23 is a rational number.
    True - Any integer (including 23) is a rational number because it can be expressed as a fraction (23/1).

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

  4. π is an irrational number.
    True - π (pi) cannot be expressed as a simple fraction, which makes it an irrational number.

  5. 0 is a natural number.
    False - Natural numbers generally start from 1 (1, 2, 3, ...). However, some definitions include 0, but traditionally they do not.

Summary:

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