anonymous
  • anonymous
Identify the number as rational or irrational. Explain. 291.87
Mathematics
schrodinger
  • schrodinger
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myininaya
  • myininaya
Can this number be written as an integer/integer?
anonymous
  • anonymous
i have no idea
myininaya
  • myininaya
If so it it rational If not it is irrational

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radar
  • radar
291 87/100
myininaya
  • myininaya
So based on what radar posted what conclusion can you draw?
anonymous
  • anonymous
i dont even understand what he put i dont even understand the question
myininaya
  • myininaya
Basically it is asking if you can write it as an integer over and integer or not
myininaya
  • myininaya
\[\text{ example } 21.23 \text{ is rational because } 21.23=\frac{2123}{100} \]
myininaya
  • myininaya
2123 and 100 are integers
myininaya
  • myininaya
10.421=10421/1000 is rational too
anonymous
  • anonymous
so another words it rational because its equivalent to a fraction
myininaya
  • myininaya
a fraction that is only composed of integers integers are {...,-3,-2,-1,0,1,2,3,...}
anonymous
  • anonymous
wow im confused
myininaya
  • myininaya
an example of irrational is 2.533333343536346346436346363634564352345325235.... keeps going and has no pattern
myininaya
  • myininaya
your number terminates so it is rational
myininaya
  • myininaya
if the decimal part has a pattern it would also be rational since it can be written as an integer over an integer
myininaya
  • myininaya
just like one that terminates can be written as an integer over an integer
myininaya
  • myininaya
pattern or terminates=> rational
myininaya
  • myininaya
no pattern and forever never ending=>irrational
myininaya
  • myininaya
is that less complicated?
radar
  • radar
Some irrational numbers are pi, the square root of 2, and many others.
anonymous
  • anonymous
yes thank you
radar
  • radar
Good luck with these, you will find irrational things in life. They are real, but can't be expressed exactly.

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