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I wanna know some basic applications of "Number System" and some interesting facts or interesting theory?

Mathematics
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Number system may include: 1) Natural Numbers 2) Whole Numbers 3) Rationalizing 4) Integers 5) Fractions, Rational Numbers 6) Irrational Numbers 7) Imaginary Numbers
if any1 know something other then this all then is welcomed to tell... @asnaseer @mukushla @waterineyes @satellite73
like rationalizing factor? also are there any uses of these all in our daily life?

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Other answers:

there are interesting problems and formulas like , find the unit digit of 3^x 2^x and so on....
for example?
rational numbers are used in banks..
@myininaya and @UnkleRhaukus may also want to share their knowledge here
eg.3^20 now see 1st 4 powers of 3 3^1=3 3^2=9 3^3=27 3^4=81 unit digits are 3,9,7,1 and after this the same pattern will be repeated.. now divide 1/4=remainder is 1 so, for remainder: 1 unit digit is 3 2 unit digit is 9 3 unit digit is 7 0 unit digit is 1 so divide 20/4 remainder is 0 so unit digit of 3^20 is 1
what about 4^56 ?
find the unit digit of 4^{56} /
uhh...4
fr 4 its 4,6,4,6
oh sry itz 6!
right is it necessary to have 4 chances ? I mean that in 3 we took : 3 , 9 , 7 and 1 in 4 we took 4
similarly for 7 we will take: 7 , 9 , 3, 1
right?
yeah!
So i have: 7^{256} unit number as : 1
yeah.....
7^226 unit digit is 9
226/4 = remainder = 2 that is we have 9
yeah...
hmn thanks any more concept you know?
Like rationalizing factor? and magic square?
magic square is a square in which the sum of numbers in horizontal,vertical and diagonal way is the same...it is sriously tough to create one...
1 2 3 3 4 5 x y z 1 + 3 + x = 2+4+y = 3+5+z x + 4 + 3 = z + 4 + 1 1+2+3 = 3+4+5 m wrong :P well yes it is seriously tough and it involves gr8 thinking
You know rationalizing factor?
ok see rationalizing factor is like suppose u have 1/sqrt3+2 now if u multiply sqrt3 +2 by sqrt 3-2 u will get a rational number so sqrt3 -2 is the rationalizing factor of sqrt3+2...understand?
\[\large{\frac{1}{\sqrt{3}+2}}\] \[\large{\frac{\sqrt{3}-2}{1}}\] Oh k so we have rationalizing factor = \(\sqrt{3}-2\)
for example I have : \[\large{\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}}\] so the rationalizing factor is \(\frac{\sqrt{2}}{2}\)
yeah...
no fr 1st one yeah fr 2nd one sqrt 2 rationalizing factor is sqrt2 bcuz sqrt 2*sqrt2=2
oh right so we have rationalizing factor as : 2 - \sqrt{3} ?
@mathslover http://openstudy.com/study#/updates/503b9296e4b007f90030f59c go on this link and check this guy out..he is hmmm..
wait asnaseer is here... if he can't do anything I will interrrupt there
no fr 1st one i.e fr \[\frac{1}{\sqrt{3}+2}\] sqrt 3 +2 is rationalized that is it becomes a rational number when multiplied with a certain number that certain number is the rationalizing factor in this case its sqrt3-2
u understood? @mathslover
oh k I got it now.
yes thanks a lot @King thanks "dost"
k bye gtg now...ure welcome...ure indian?
yes

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