1/3 = .33333... with the 3s repeating forever
1/7 = .142857142857... with the 142857 repeating forever A recurring decimal!! I just learnt it in school.
A repeating decial
reating decimal
It is called a repeating decimal. It is also a form of a rational number.
All numbers with a finite number of decimal digits are rational. Some that infinitely many decimal digits are rational as well. If you mean to repeat the pattern, adding one more "1" every time, then no, it is not rational - rational numbers repeat the SAME sequence of digits over and over (for example, 0.1515151515...), at least eventually (they may start with some digits that are not part of the repeating part, such as 3.87112112112...).
It is a decimal fraction.
Recurring
a repeating or recurring decimal
Off the top of my head I know the fraction 1/3 & 2/3 when they become a decimal become 0.33... forever and 0.66.... forever. Does that help>
It is a repeating decimal.
It is a repeating decimal.
Yes. If you mean 5.7777 as a terminating decimal it is 57777/10000 If you mean 5.7777... as a recurring decimal where the 7 repeats forever it is 57/9 If a decimal number terminates or repeats one or more digits forever it is a rational number. Otherwise if a decimal number goes on forever but does not repeat any digits (eg √2 = 1.41421356...) then it is an irrational number.
a repeating or recurring decimal
The name for a decimal of this kind is "recurring".
A repeating decial
repeating or recurring decimals
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).
reating decimal