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A rational number can be expressed exactly by a fraction, with whole numbers in the numerator and denominator; an irrational number is one that can't be written that way. For example, it is easy to prove that you can't write the square root of 2 (or, for that matter, the square root of any natural number that isn't a perfect square), so those numbers are irrational. In the decimal representation, a rational number can have no decimals (e.g., 4), a finite number of decimals (e.g., 3.15), or decimals that eventually repeat over and over again (e.g., 3.12727272727...). An irrational number has an infinite number of decimals, without such a repetition.

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10y ago
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10y ago

Another clue is that the decimal goes on forever without repeating. So you can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

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Related questions

How is rational numbers different from irrational numbers?

Rational numbers can be expressed as fractions whereas irrational numbers can not be expressed as fractions.


Are rational numbers is an irrational numbers?

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.


What is the different between a rational and irrational number?

Rational numbers can be represented in the form x/y but irrational numbers cannot.


Are there irrational numbers that are not rational?

All irrational numbers are not rational.


How are rational numbers different from a number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


What are the solutions of rational algebraic equations?

They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


All rational and irrational numbers are?

All rational and irrational numbers are real numbers.


Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


What numbers belongs to rational and irrational numbers?

Rational=1.25,1.5,1.75 Irrational= 1.3333333333,1.66666666666,1.999999999


Is 0.151515 a rational or an irrational?

0.151515(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is 0.1121231234 rational or irrational?

0.1121231234(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.