Repeating Decimal

A number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely)is called a repeating decimal. Numbers such as 0.5 can be regarded as repeating decimals since. All Rational Numbers have repeating decimals, e.g.,. However, Transcendental Numbers, such as donot.

References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 53-54, 1987.

Courant, R. and Robbins, H. ``Rational Numbers and Periodic Decimals.'' §2.2.4 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 66-68, 1996.

• Fermat Sum Theorem
• Fermi-Dirac Distribution
• Fern
• Ferrari's Identity
• Ferrers Diagram
• Ferrers' Function
• Ferrier's Prime
• Feuerbach Circle
• Feuerbach Point
• Feuerbach's Conic Theorem
• Feuerbach's Theorem
• Feynman Point
• FFT
• Fiber
• Fiber Bundle
• Fiber Space
• Fibonacci Dual Theorem
• Fibonacci Hyperbolic Cosine
• Fibonacci Hyperbolic Cotangent
• Fibonacci Hyperbolic Sine
• Fibonacci Hyperbolic Tangent
• Fibonacci Identity
• Fibonacci Matrix
• Fibonacci n-Step Number
• Fibonacci Number