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An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.

2 is rational.

The square root of 2 is irrational.

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8y ago
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9y ago

A rational number is one that can be expressed as a ratio of two integers: thus x = p/q where q is not zero. An irrational number cannot be expressed in such a way.

One consequence is that a rational number, in decimal form, is either a terminating decimal or an infinite recurring decimal. An irrational number has an infinite decimal from that is non-repeating.


Examples of rational numbers: 2, -3/4, -3.756, 18.23464646.. (recurring)

Examples of Irrational Numbers: sqrt(2), pi, phi (the Golden Ratio), e (Euler's number) as well as their negatives.

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Q: Give the difference between rational and irrational numbers Give examples of each?
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Related questions

What is the difference between rational and irrational?

rational and irrational


What is the difference between a rational and an irrational?

A rational number is one that can be represented as an integer or a fraction with an integer over an integer. An irrational number cannot be represented using integers. Examples of rational numbers: 2, 100, 1/2, 3/7, 22/7 Examples of irrational numbers: π, e, √2


What is the difference between rational and irrational in math?

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


What are the difference between decimal in rational and decimal in irrational?

A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction


The difference between two different irrational numbers?

The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.


List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.


What is the sum or difference of the any two irrational numbers?

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.


Would the difference between two irrational numbers is always going to be rational?

No. sqrt(3) - sqrt(2) is irrational.


What are the difference between natural numbers and irrational numbers?

All natural numbers are rational numbers. No irrational numbers are natural numbers.


Can difference between two irrational number can results in rational number?

Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.


What is the difference between an irrational number and a rational numbers?

A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.


What is the difference between the decimal expansion in irrational and rational numbers?

Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.