A recurring decimal.
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
a repeating decimal
a decimal in which a digit or group of digits repeats without end
It is a repeating decimal.
Both rational and irrational numbers can be expressed with decimals. If the number is irrational, it will have an infinite number of decimal digits, and there will be no periodic repetition. For example, 1/7 (which is rational) is 0.142857 142857 142857... The same sequence of six digits repeats over and over again. In irrational numbers, this is not the case.
Repeating Decimal
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.
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).
A decimal is a rational number if:* It terminates - i.e., it has a finite number of decimal digits. * It doesn't terminate, but it repeats the same pattern over and over - possibly after a finite number of digits that are not included in the pattern. For example, 0.145145145145..., or 3.125252525...
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 decimal
a decimal in which a digit or group of digits repeats without end
.. has a string of digits which repeats for ever.
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).
If that's the complete number, then it's rational. But I see two periods after the '350'. Are those meant to suggest that the decimal goes on further ? If so, then in order to answer your question, we need to know whether the decimal ever ends or repeats. -- If it never ends or repeats, then it's an irrational number. -- If it ever ends or repeats, even if the repeat is several thousand digits long, then the number is rational.
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)