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

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Q: Why not all the decimal numbers can be written as rational 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.


Can all rational decimals be written as a 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


Are all real numbers a rational numbers?

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


What numbers that can be written as a fraction?

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


Does the set if rational numbers include all decimal?

No, it does not.


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.