Ads
related to: 36 repeating decimals in terms of 4 and 7 times 10 as a fraction worksheetThis site is a teacher's paradise! - The Bender Bunch
- Interactive Stories
Enchant young learners with
animated, educational stories.
- Digital Games
Turn study time into an adventure
with fun challenges & characters.
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- Education.com Blog
See what's new on Education.com,
explore classroom ideas, & more.
- Interactive Stories
Search results
Results from the WOW.Com Content Network
A fraction in lowest terms with a prime denominator other than 2 or 5 (i.e. coprime to 10) always produces a repeating decimal. The length of the repetend (period of the repeating decimal segment) of 1 / p is equal to the order of 10 modulo p.
For any integer coprime to 10, its reciprocal is a repeating decimal without any non-recurring digits. E.g. 1 ⁄ 143 = 0. 006993 006993 006993.... While the expression of a single series with vinculum on top is adequate, the intention of the above expression is to show that the six cyclic permutations of 006993 can be obtained from this repeating decimal if we select six consecutive digits ...
Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".
A vinculum can indicate a line segment where A and B are the endpoints: ¯. A vinculum can indicate the repetend of a repeating decimal value: . 1 ⁄ 7 = 0. 142857 = 0.1428571428571428571...
The decimal fraction notation is a special way of representing rational numbers whose denominator is a power of 10. For instance, the rational numbers 1 10 {\displaystyle {\tfrac {1}{10}}} , 371 100 {\displaystyle {\tfrac {371}{100}}} , and 44 10000 {\displaystyle {\tfrac {44}{10000}}} are written as 0.1, 3.71, and 0.0044 in the decimal ...
Stylistic impression of the repeating decimal 0.9999..., representing the digit 9 repeating infinitely. In mathematics, 0.999... (also written as 0. 9, 0.., or 0.(9)) is a repeating decimal that is an alternate way of writing the number 1.
In mathematics, Midy's theorem, named after French mathematician E. Midy, [1] is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence A028416 in the OEIS). If the period of the decimal representation of a/p is 2n, so that
For instance, among the 3.7×10 10 prime numbers smaller than 10 12, only 8.8×10 4 are Brazilian. The decimal repunit primes have the form = for the values of n listed in OEIS: A004023. It has been conjectured that there are infinitely many decimal repunit primes. [9]
Ads
related to: 36 repeating decimals in terms of 4 and 7 times 10 as a fraction worksheetThis site is a teacher's paradise! - The Bender Bunch