What are irrational and rational numbers?

It is pretty simple really Eloise.   

If you can write a number as a fraction then it is RATIONAL.  It is that simple!

Lets see if I can rattle off the definition of a rational number:

"A number is rational if it can be written as p/q where p and q are both integers and p and q have no common factors other than 1"

It helps to know that all terminating and recurring decimals can be written as fractions. :)

But decimals that do not recur or terminate such as pi or sqrt2 cannot be written exactly as a fraction.     

Here:

https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/v/recognizing-irrational-numbers

Which of the following are irrational numbers?

2/3, √36, √3 + √6, π, 0.75, 48%, 8 1/3

Sqrt(3)+Sqrt(6), Pi =are irrational.

All others are rational.

Could u maybe explain in your own words? My dad doens't let me use utube. Says it uses up too much of his "bandwidth". Ugh. So yea. Plz explain.

What soviet gave u isn't you tube, I think that is what u meant?

Oh n thank u guest.

https://en.wikipedia.org/wiki/Irrational_number

OK.... this is just a website.....no 'bandwidth' involved.....

~jc

No its just that on the site he gave me, u have 2 watch a utube video. That's what I meant. But thank solviet.

It didn't show me a video when I clicked on it...:/

Rational and irrational numbers in Math doesn't mean that some numbers are "sensible or reasonable" and some are "crazy or unreasonable"!!.

Rational, simply means that you can express that number as a "RATIO" of two other numbers. In your numbers: .75 is rational. Why? Because you can express it as RATIO of two other numbers.Example: .75 can be written as 3/4, or 75/100, or 12/16........etc.

An irrational number CANNOT be expressed as a RATIO of two other numbers. Example: Pi. You can NEVER find two numbers such as a/b that will give you Pi.

Heii