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Mathematics 16 Online
OpenStudy (anonymous):

Identify the number as rational or irrational. Explain. 291.87

myininaya (myininaya):

Can this number be written as an integer/integer?

OpenStudy (anonymous):

i have no idea

myininaya (myininaya):

If so it it rational If not it is irrational

OpenStudy (radar):

291 87/100

myininaya (myininaya):

So based on what radar posted what conclusion can you draw?

OpenStudy (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

OpenStudy (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,...}

OpenStudy (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?

OpenStudy (radar):

Some irrational numbers are pi, the square root of 2, and many others.

OpenStudy (anonymous):

yes thank you

OpenStudy (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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