… , as the quotient, either an exact decimal or a repeating decimal. The converse law is also
true,- namely, for every exact decimal or repeating decimal it is possible to find a fraction, with …

… It is well known that a real number is rational if and only if its decimal expansion is a repeating
decimal. For example, 2/7 = .285714285714 · · · . Many students also know that if n/m is a …

… been interested in the patterns found in the repeating decimal expansions of rational numbers.
A … We note that if m is a positive integer and the repeating decimal of 1/m has a period of …

… In 8~th grade, A number iS rational number ifand Only ifit can be eXpressed aS finite decimal
or repeating decimal, A irrational number is defined by non-repeating infinite decimal in9-…

… The first interesting repeating decimal is the decimal expansion for 1 … Summary Consider
the repeating decimal of a reduced fraction t/n between 0 and 1, where none of the primes 2, 3 …

The purpose of this study is searching for the problems and alternatives on teaching for
repeating decimal. To accomplish the purpose, we have analyzed the fifth, sixth, and seventh …

… to the given repeating decimal. I will then model how to derive the repeating decimal
formula by showing them Example 12. We will do one or two more repeating decimal problems …

… If we have a repeating decimal .142857, convert it into a fraction. 2). what is the relationship
… has a repeating decimal expansion and the length of the repeating pattern is at most p-1. …

… Throughout this thesis very little has been said concerning the specific digits of the period
for repeating decimal fractions. Work has been done in this area and some quite interesting …

… This article investigates prospective elementary teachers’ conceptions of the repeating
decimal .999.... Five students from a first-semester undergraduate course “Mathematics for …