Math and Arithmetic
Numbers
Irrational Numbers

# Are repeating decimals rational or irrational numbers?

###### Answered 2012-05-16 23:20:12

Repeating decimals are rational numbers if there is a pattern, like 0.22222222.

If it is not a pattern, like 0.568964329, it is an irrational number.

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## Related Questions

Terminating and repeating decimals are rational numbers.

Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example &pi; is an irrational number.

No. Numbers with terminating or repeating decimals are rational.

All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.

If there's a repeating sequence then it's a rational number.

Irrational numbers can not be repeating decimals. Any number that is a repeating decimal is rational.

Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)

If they are non-terminating and there is a repeating pattern, then they are rational. If they are non-terminating and there is no repeating pattern, as in pi, they are irrational.

either irrational numbers, integers, integers, rational numbers, or whole numbers

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.

Irrational numbers are non-repeating, non-terminating decimals. If your number repeats, it's rational. If it doesn't, it's irrational.

0.1121231234(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

0.151515(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

As written, it isn't. Irrational numbers are non-repeating, non-terminating decimals. If your number terminates, it's rational. If it doesn't, it's irrational.

3.12233344445555(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

2.2422422242222422222(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

0.345345345(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Non-repeating decimals is not a word but a phrase. Non-repeating decimals are irrational numbers.

1.777...(repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Yes. Every whole number can be expressed as a ratio of whole numbers, and any fraction consisting of whole number numerators and denominators are by definition rational. So irrational numbers will be unending non-repeating decimals.

An irrational number by definition can not be exactly represented by a decimal that terminates or recurs. The moment a decimal terminates, or settles into a repeating pattern, it is rational.

= -2.2422422422224222224 (not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. =

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