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Do rational numbers have a repeating decimal?

Anonymous

∙ 10y ago

Updated: 11/1/2022

They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.

Wiki User

∙ 10y ago

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Q: Do rational numbers have a repeating decimal?

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What is a terminating and repeating decimal?

They are rational numbers.

What are facts about rational numbers?

Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.

Are all terminating and repeating decimal rational numbers?

Yes.

Why repeating decimals happen?

A repeating decimal is any rational number whose decimal representation does not terminate after a given number of digits. As only a very small quantity of the rational numbers terminate in their decimal representation, practically any rational number picked at random will be a repeating decimal.

Is every rational number a decimal number?

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.

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Related Questions

Is a rational number a repeating decimal?

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

What numbers can be expressed as a terminating or repeating decimal?

Rational numbers can be expressed as a terminating or repeating decimal.

What is a terminating and repeating decimal?

They are rational numbers.

What numbers can be expressed as terminating or repeating decimal?

They are rational numbers

What is the vocabulary for a terminating decimal and a repeating decimal?

They are both rational numbers.

Is 0.313131 a rational number?

Yes, it is a repeating decimal. Terminating and repeating decimals are rationals. Rational numbers can also be expressed as a fraction. 0.313131 is a repeating decimal.

What are facts about rational numbers?

Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.

Are all terminating and repeating decimal rational numbers?

Yes.

Are negative decimals rational numbers?

Yes, negative decimal numbers are rational, as long as it is terminating or repeating.

Is a repeating decimal rational or irrational?

A repeating decimal is rational.

What can rational numbers be expressed as?

fractions or decimals

A repeating decimal is an irrational number?

Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.

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