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Please Explain the irrational numbers and rational numbers and differences between them and also
explain irrational functions.
 one year ago
 one year ago
Please Explain the irrational numbers and rational numbers and differences between them and also explain irrational functions.
 one year ago
 one year ago

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nbouscalBest ResponseYou've already chosen the best response.1
A number is rational if it can be written as the quotient of two integers.
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
This is why the set of rational numbers is denoted \(\mathbb Q\) for quotient.
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Please explain @nbouscal .
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
other than the number itself over 1
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
example...2 is rational because i can express it as 4/2
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
For any rational number there is a \(p\) and \(q\) with \(p,q\in\mathbb Z\) such that the rational number can be written as \(\dfrac p q \)
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Please mention differences between rational and irrational numbers also.
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
Irrational numbers are simply numbers that are not rational.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
pi cannot be expressed as a quotient even though 22/7 is near therefore it is irrational
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Some more examples ....@lgbasallote
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
The simplest proof of an irrational number is the one for \(\sqrt2\). http://www.homeschoolmath.net/teaching/proof_square_root_2_irrational.php shows the standard proof, due to the Greeks.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
ALL integers are rational numbers
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
the integers are 1, 2, 3, 0, 1, 2, 3, etc
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
Decimal numbers that terminate are rational, because they can be written as a fraction. For example, 2.231 can just be written as 2231/1000. This is the case for any decimal that terminates.
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
What about 1/3...................?@nbouscal @lgbasallote @ParthKohli
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
some decimals that dont terminate can also be expressed as fractions...for example 0.333333 can be expressed as 1/3
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
1/3 is a quotient of two integers, so it is a rational number.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
that is rational because 1 amd 3 are integers
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
do you get it now?
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
If you want to get even more fun you can look at the transcendental numbers, they are even more crazy than the irrational numbers. Irrational numbers that are not transcendental are called algebraic, they can be found as the roots of polynomials. There are all sorts of fun proofs to be read in this area of mathematics.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
lol why make it confusing :p
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Of coarse @lgbasallote is right.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
the kid doesnt understand rational and irrational and you're suggesting "fun" :p
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
Also worth noting is that the union of the rational and irrational numbers forms the real numbers, \(\mathbb R\), which is the set that you usually work in. You can also go further to \(\mathbb C\), the complex numbers. And then even further than that :)
 one year ago

nbouscalBest ResponseYou've already chosen the best response.1
I'm giving him an idea of the cool stuff ahead, it doesn't just stop at rational and irrational :P
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
sometimes it's nicer to live in fantasies for some time
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
1/3 has recurring digits but is still expressed as a quotient of two integers, so it is rational.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i'd rather take the blue pill than the red
 one year ago
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