Repeating decimal definition

Updated: 9/26/2023
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A repeating decimal is a number expressed in decimal form in which, after a finite number of miscellaneous digits, the number continues with a string of a finite number of digits which repeats itself without end.

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Q: Repeating decimal definition
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What is the definition for a non-repeating decimal?

That's an irrational number.

Why every rational number can be represented by either a terminating decimal or a repeating decimal?

That is the definition of a rational number.

What is the definition for repeting decimals?

A decimal with a continuously repeating digits or group of digits

Is a decimal form of an irrational number a repeating decimal?

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.

What is the definition for receding decimal?

If you mean a recurring or repeating decimal it's for example 2/3 = 0.666666 .... recuring 6

Why o10110111011110..this irrational?

It is a non-terminating, non-repeating decimal representation. That is a definition of irrational numbers.

Is 33 a repeating decimal?

No, 33 is an integer. 0.3333 repeating is a repeating decimal.

What is non-repeating decimal?

A non-repeating decimal is a decimal that never repeats itself. For example, pi is a non-repeating decimal.

What is .370 repeating as a decimal?

0.370 repeating is a decimal.

What is 0.45 repeating as a decimal?

0.45 repeating is a decimal!

What is 1.21 repeating as a decimal?

1.21 repeating ... is a decimal.

What is 3.25 repeating as a decimal?

3.25 repeating ... is a decimal.