A Rational Number can be do by dividing an creature by one integer.

You are watching: Is 1/3 a rational number

(An integer itself has actually no spring part.)


Example:

1.5 is a rational number since 1.5 = 3/2 (3 and also 2 space both integers)

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Most number we use in day-to-day life room Rational Numbers.

You deserve to make a couple of rational number yourself making use of the sliders below:


Number as a portion Rational?
5 5/1 Yes
1.75 7/4 Yes
10001000/1Yes
.001 1/1000 Yes
−0.1 −1/10 Yes
0.111... 1/9 Yes
√2(square root of 2) ? NO !

Oops! The square source of 2 cannot be composed as a basic fraction! and also there space many more such numbers, and also because they room not rational they are called Irrational.

Another renowned irrational number is Pi (π):

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Formal meaning of rational Number

More formally us say:


A reasonable number is a number that deserve to be in the form p/qwhere p and also q are integers and also q is no equal come zero.


p q ns / q =
1 1 1/1 1
1 2 1/2 0.5
55 100 55/100 0.55
1 1000 1/1000 0.001
253 10 253/10 25.3
7 0 7/0 No! "q" can"t it is in zero!

Just remember: q can"t it is in zero

Using rational Numbers

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If a reasonable number is quiet in the form "p/q" it can be a little difficult to use, so I have a special page on how to:

Add, Subtract, Multiply and also Divide rational Numbers


Fun facts ....

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The ancient greek mathematician Pythagoras thought that all numbers to be rational, however one of his students Hippasus confirmed (using geometry, that is thought) the you can not create the square source of 2 as a fraction, and so it was irrational.

But followers of Pythagoras might not expropriate the existence of irrational numbers, and it is said that Hippasus was drowned at sea as a penalty from the gods!