Explain Irrational numbers and give a few examples Thanks!

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Explain Irrational numbers and give a few examples Thanks!

Mathematics
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A rational number is a number that can be expressed as the ratio of two integers. For instance, 0.5 is a rational number, which is 1/2
0.394 repeating can be expressed as 394/999
ok so how many irrational numbers are from 1-10?

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Im studying for my ACT test tomorrow
However, in the defined "real number set", not all numbers can be expressed as the division of two integers. Although historically it took a bit of time for us to accept this, a simple proof of the the fact that \(\sqrt{2}\) is irrational is suffice
There are an infinite number of rational AND irrational numbers between 1-10...
give me an example why please
Well, pick two numbers between 1 and 10.
2 and 7
Pick two numbers in between those two.
5, 6
Now do it again.
5.6, 5.7
an important property of the real numbers is that they are continuous - in a sense, there are an INFINITE "number" of numbers in between any two different numbers, no matter how small the difference
There are actually "far more" irrational numbers than rational numbers.
so in 1-3 there is many aswell?
Well, comparing the two expressions is indeterminant I believe
Great! Thanks a lot for your help it cleared my confusion. Hopefully I get this right on one of the biggest tests of my life!
@Marlins0412 , the key thing to know is that there are an infinite number of rational and irrational numbers
rational numbers can be expressed as the division of two integers, while irrational numbers cannot
I see
WEll off to more studying thanks again
yes - good luck!
Thanks so much!

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