Indicate whether the following statements are True (T) or False (F).

  1. √49 is a rational number
  2. 2 is a real number
  3. π is a real number
  4. -17 is an integer
  5. √3 is a rational number
  6. 0 is a natural number
  7. 32 is an integer

Verified Answer :

  1. False because a rational is a fraction or part of a number (\(\frac{3}{2}, 3.2\)).  \(\sqrt{49} = 7\)

    2.  True; a real number is any number that isn't imaginary (\(i, \sqrt{-1}\))

    3.  True; same reason

    4.  True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).

    5.  True; \(\sqrt{3} \approx 1.32\) and that's a decimal.

    6.  True;  the natural number system starts from 0 and counts upwards

    7.  True;  reason above