Repeating Decimal
Yes.
no, rational numbers have a pattern that repeats, this number doesn't.
Any decimal that terminates or repeats is a rational number; as 0.113113113.... repeats the digits "113" it is a rational number. 0.113113113... = 113/999 (in fraction form).
Rational. Because it repeats. (Rational numbers either repeat or stop. Irrational numbers don't stop or repeat, such as pi)
Yes. Rational numbers either stop, which in your case it does, or it repeats (like 1.3333333...). Irrational numbers go on forever. (such as pi) (:
A recurring decimal.
They form a proper subset of rational numbers.
Irrational numbers can not be repeating decimals. Any number that is a repeating decimal is rational.
Not necessarily. If the decimal terminates, or if it repeats periodically, then it is rational.
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.
It means that it is a decimal representation of a rational fraction.
Integers are rational. Also, terminating decimal numbers, as well as repeating decimals (such as 3.12121212..., where "12" repeats over and over) are rational.
If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.
Yes.
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
no, rational numbers have a pattern that repeats, this number doesn't.
Some decimals are rational, and some aren't. A decimal is rational when it terminates or repeats.