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

Updated: 11/1/2022 Wiki User

9y ago

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

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Q: Why not all the decimal numbers can be written as rational numbers?
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Still have questions?  Related questions

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

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

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

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 all real numbers a rational numbers?

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

### 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.

### Is 0 a rational number?

Zero is a rational number. Rational numbers are numbers that can be represented by the division of two integers. Zero is zero divided by anything besides zero, so zero is rational.