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).
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) (:
Yes!!! Because it can be converted to a fraction. However, is '6.2222' a terminal decimal or do you mean that it repeats to infinity. If it repeast to infinity it shoulkd be written as '6.2222....' Note the three or more dots after the last decimal digits. This indiv=cates to mathematicians that the deimal 'repeats to infinity'. In both cases they are RATIONAL numbers, because they can be both converted to a quotient/fraction.
They form a proper subset of rational numbers.
A recurring decimal.
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.
no, rational numbers have a pattern that repeats, this number doesn't.
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
Some decimals are rational, and some aren't. A decimal is rational when it terminates or repeats.