what is the difference between.......?

Question

rational and irrational numbers

if denomenator is larger than numerator then will it become rational or irrational.

Answer 1

rational numbers are of the type p/q where p and q are integers and q is non zero
irrational numbers are non repeating and non terminating decimals which cannot be expressed in the form p/q

Answer 2

Rational numbers can be written in the form a/b, where a and b are both integers (negative and positive whole numbers) as long as b is nonzero.

Irrational numbers are ones that CANNOT be written in the form a/b defined as above. Additionally, irrational numbers are numbers whose decmal values neither terminate nor repeat.

All fractions are obviously rational, as well as all whole numbers (since they can be written over 1).

Regarding the repeating factor, note that 1/3 on a calculator would yield 0.33333 (repeating), and you'll get a similar result with 1/7.

The decimal version of irrational numbers do NOT repeat. Examples of irrational numbers are sqrt(2) and pi. Irrational numbers are used greatly in later levels of math (late high school) and throughout university math as well.

Answer 3

This is best understood taking simplest numbers that are fractions or indices.
1/2 = .5 this is a rational number it is just .5 and nothing else, you do not need to say the significant point to define it.

1/6 = .1666666666.....................
see it goes on and on to really define it for sure you will say to 3 significant decimal or to x significant decimal place.

1/6 is irrational, it is not rational by itself, need help to define its value.

Example, your boss calculates the price for 1 million items, that he is buying at 6 per dollar, and calculates at .16Cents per item.

And puts exact amount in your hand and says give this to xyz and have them shiped it to us 1 million items.

The vendor ships them but bills your boss extra 4 cents per every 6 items. Boss call you in and said why did you not give the full amount of the money. You said here is the slip I gave every thing to xyz.

1000000/6 x .04 = $6666.664 That is lots of money

But if the boss has said let us cal it $.16 a piece then he would be correct and he does not have to come up with extra money which comes to very large amounts $6666.664 .

Now same with any roots of a number.

Answer 4

Rational numbers can be written in the form of a fraction, a/b, where a and b are integers and b does not equal zero.

Irrational numbers cannot be written in fraction form.

0.75 is rational because you can write it as 3/4
The square root of 2 is irrational because we cannot write it as a fraction using integers.

Answer 5

rational numbers can be written in a/b form(or as a fraction) and irrational numbers are decimals that cannot be written in a/b form

Answer 6

rational numbers are the numbers that can be written in the form of fraction a/b where a and b are intergers and b cannot be equal to zero, and all the intergers can also be rationl...e.g. 2=2/1 or 10988=10988/1

irrational numbers are all the real numbers that can not b e written in the form a/b...e.g. 0.52458 can never be written in the form of a/b.

Answer 7

rational numbers are of the type p/q where p and q are integers and q is non zero
irrational numbers are non repeating and non terminating decimals which cannot be expressed in the form p/q

Answer 8

rational numbers U may understand, irrational - may be not ...

Answer 9

Sorry, I don't know...
But I couldn't resist, I suppose you know why!
And honest, it is not for the points!