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# Can all rational numbers be written as decimal numbers?

Updated: 9/18/2023

Wiki User

13y ago

Yes; by the definition of an irrational number (a number with an infinite amount of changing decimal digits as the number grows minutely larger), the converse is true about rational numbers

a rational number like (1/3) [0.33333333...] can be notated with a bar over any of the digits to notate a repeating decimal digit.

Wiki User

13y ago

Wiki User

11y ago

If the decimal ever ends, or if it never ends but eventually
settles into a repeating pattern of digits, then it can.

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Q: Can all rational numbers be written as decimal numbers?
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Related questions

### Can a rational number be written in a decimal?

Yes, all rational numbers can be written as decimal numbers.

### Why not all the decimal numbers can be written as rational numbers?

Decimal numbers that can be expressed as fractions are rational but decimal numbers that can't be expressed as factions are irrational

Yes.

### Are all terminating and decimals rational numbers?

All terminating decimal numbers are rational.

### Do rational numbers have a repeating decimal?

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

### Is a rational number a repeating decimal?

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

### Why aren't rational numbers called integers?

because not all rational numbers are integers, recurring numbers, numbers to 1 decimal place and fractions are rational as well but all integers are rational

### Are all real numbers a rational numbers?

Yes. Rational numbers are numbers that can be written as a fraction. All rationals are real.

No, it does not.

### What numbers that can be written as a fraction?

all rational numbers can be written as fractions. That is the definition of rational numbers.

### Are some rational numbers are not real numbers?

No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.

### 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.