As a number that cannot be written as a repeating decimal or a finite decimal pi is irrational: it cannot be written as a fraction (the ratio of two integers).
If the decimal is a repeating decimal instead of a terminating one, we can still convert it to a fraction.
He attributed the difficulties of Stephanie and Jesse to entrenched, flawed concept images formed by prior experience with repeating decimals and continuity.
Consistent with her categorization of mathematical definitions, she seemed to think the concept definition for repeating decimal had not been extracted quite correctly in the case of 0.999…
All repeating decimals like 0.575757575757…, all integers like 46, and all finite decimals like 0.472 are rational.
Definition of repeating decimal in US English:
repeating decimal
nounrəˈpidɪŋ
A decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.666… or as in 1.851851851….
Example sentencesExamples
Consistent with her categorization of mathematical definitions, she seemed to think the concept definition for repeating decimal had not been extracted quite correctly in the case of 0.999…
He attributed the difficulties of Stephanie and Jesse to entrenched, flawed concept images formed by prior experience with repeating decimals and continuity.
All repeating decimals like 0.575757575757…, all integers like 46, and all finite decimals like 0.472 are rational.
As a number that cannot be written as a repeating decimal or a finite decimal pi is irrational: it cannot be written as a fraction (the ratio of two integers).
If the decimal is a repeating decimal instead of a terminating one, we can still convert it to a fraction.