Question

Classify each number as a Natural number, Whole Number, Integer, Rational Number, or Irrational. (Write all that apply)

a)-40 b)5 c) -14/11 d)√34     e) -√16

Answer 1

Natural numbers are: 1, 2, 3, 4, 5, 6, 7, .... although some authors include 0.

Whole numbers are: 0, 1, 2, 3, 4, 5, 6, 7, ....

Integer numbers include negatives: ...-5, - 4, - 3, - 2 , - 1, 0, 1, 2, 3, 4, 5, ...

Rational numbers are: the ratio of two integers. They include the integers.

Irrational number are ilimited decimals without periodicity.

a) - 40: integer and rational (all integers are rational too)

b) 5: natural, whole, integer and rational.

c) -14/11: rational

d) √34: irrational. It is 5.83095189...

e) - √16: √16 = 4 => - √16 = - 4 => integer and rational