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mathslover

  • 2 years ago

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

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  1. mathslover
    • 2 years ago
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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

  2. mathslover
    • 2 years ago
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    if any1 know something other then this all then is welcomed to tell... @asnaseer @mukushla @waterineyes @satellite73

  3. mathslover
    • 2 years ago
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    like rationalizing factor? also are there any uses of these all in our daily life?

  4. mathslover
    • 2 years ago
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    @heisenberg

  5. King
    • 2 years ago
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    there are interesting problems and formulas like , find the unit digit of 3^x 2^x and so on....

  6. mathslover
    • 2 years ago
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    for example?

  7. King
    • 2 years ago
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    rational numbers are used in banks..

  8. mathslover
    • 2 years ago
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    @myininaya and @UnkleRhaukus may also want to share their knowledge here

  9. King
    • 2 years ago
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    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

  10. mathslover
    • 2 years ago
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    what about 4^56 ?

  11. mathslover
    • 2 years ago
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    find the unit digit of 4^{56} /

  12. King
    • 2 years ago
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    uhh...4

  13. King
    • 2 years ago
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    fr 4 its 4,6,4,6

  14. King
    • 2 years ago
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    oh sry itz 6!

  15. mathslover
    • 2 years ago
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    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

  16. mathslover
    • 2 years ago
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    similarly for 7 we will take: 7 , 9 , 3, 1

  17. mathslover
    • 2 years ago
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    right?

  18. King
    • 2 years ago
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    yeah!

  19. mathslover
    • 2 years ago
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    So i have: 7^{256} unit number as : 1

  20. King
    • 2 years ago
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    yeah.....

  21. King
    • 2 years ago
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    7^226 unit digit is 9

  22. mathslover
    • 2 years ago
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    226/4 = remainder = 2 that is we have 9

  23. King
    • 2 years ago
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    yeah...

  24. mathslover
    • 2 years ago
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    hmn thanks any more concept you know?

  25. mathslover
    • 2 years ago
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    Like rationalizing factor? and magic square?

  26. King
    • 2 years ago
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    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...

  27. mathslover
    • 2 years ago
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    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

  28. mathslover
    • 2 years ago
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    You know rationalizing factor?

  29. King
    • 2 years ago
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    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?

  30. mathslover
    • 2 years ago
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    \[\large{\frac{1}{\sqrt{3}+2}}\] \[\large{\frac{\sqrt{3}-2}{1}}\] Oh k so we have rationalizing factor = \(\sqrt{3}-2\)

  31. mathslover
    • 2 years ago
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    for example I have : \[\large{\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}}\] so the rationalizing factor is \(\frac{\sqrt{2}}{2}\)

  32. King
    • 2 years ago
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    yeah...

  33. King
    • 2 years ago
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    no fr 1st one yeah fr 2nd one sqrt 2 rationalizing factor is sqrt2 bcuz sqrt 2*sqrt2=2

  34. mathslover
    • 2 years ago
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    oh right so we have rationalizing factor as : 2 - \sqrt{3} ?

  35. King
    • 2 years ago
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    @mathslover http://openstudy.com/study#/updates/503b9296e4b007f90030f59c go on this link and check this guy out..he is hmmm..

  36. mathslover
    • 2 years ago
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    wait asnaseer is here... if he can't do anything I will interrrupt there

  37. King
    • 2 years ago
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    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

  38. King
    • 2 years ago
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    u understood? @mathslover

  39. mathslover
    • 2 years ago
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    oh k I got it now.

  40. mathslover
    • 2 years ago
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    yes thanks a lot @King thanks "dost"

  41. King
    • 2 years ago
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    k bye gtg now...ure welcome...ure indian?

  42. mathslover
    • 2 years ago
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    yes

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