The fraction 1/3 does not terminate.
recurring decimal
The line over the digits that repeat in a repeating decimal.
Not all decimals can be expressed as fractions. Only terminating and recurring decimals can be expressed as fractions. eg a recurring decimal: 0.3333333... = 1/3 A terminating decimal: 0.125 = 1/8 A decimal that does not recurr or terminate, cannot be expressed as a fraction. eg Pi = 3.141592654... Pi can not be expressed as a fraction as it does not recurr or terminate. It can only be approximated to a fraction. eg Pi ≈ 355/113 but is correct to 6 decimal places.
It doesn't appear as if any of them do.
Not.
Decimals can either terminate OR repeat. One decimal does not do both. Example-- 3.059 is a terminating decimal, meaning it stops. Example-- 3.059059... is a repeating decimal, meaning it repeats. You would write that as 3.059 with a line over the 0,5, and 9 because they repeat themselves.
Some are, some aren't.If the portion after the decimal point:terminates (eg 0.125);does not terminate, but repeats one or more digits (eg 0.333..., 0.181818...)does not terminate, but has one or more digits followed by one or more further digits that repeat (eg 0.16666..., 0.258373737...)then the decimal is rational.otherwise, if the decimal does not terminate and does not repeat any digits (eg π = 3.1415726..., √2 = 1.41421...)then the decimal is irrational (not 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.
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
It the divisor has any prime factor other than 2 or 5 [prime factors of 10], then the quotient will repeat. Otherwise it will terminate.
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.
The fraction 1/3 does not terminate.
All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.
Its decimal representation does not terminate.
No.
1/3 does not terminate.