Problem: The number is equal to:
Answer Choices:
A. a rational fraction
B. a finite decimal
C.
D. an infinite repeating decimal
E. an infinite non-repeating decimal
Solution:
It can be shown that is not a rational number. It can also be shown that repeating non-terminating decimals represent rational numbers, and terminating decimals clearly represent rational numbers with a power of in the denominator. Hence a non-terminating, non-repeating decimal is the only possibility for representing .