# Appendix A - Basic Algebra Review - A Exercises - Page A-14: 8

The number $\pi$ is an irrational number and a real number.

#### Work Step by Step

RECALL: (i) Natural (or Counting) Numbers are $1,2,3,...$. (ii) Whole Numbers are $0,1,2,3,...$. (ii) Integers are $...,−3,−2,−1,0,1,2,3,...$. (iv) Rational Numbers are numbers that can be expressed as a quotient of two integers. (v) Irrational Numbers are numbers that cannot be expressed as a quotient of two integers. (vi) Real Numbers are the set of all rational and irrational numbers. Note that $\pi = 3.14159265358979...$. This number cannot be expressed as a ratio of two integers. Thus, the number $\pi$ is an irrational number and a real number.

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