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## anonymous 4 years ago Identify the number as rational or irrational. Explain. 291.87

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1. myininaya

Can this number be written as an integer/integer?

2. anonymous

i have no idea

3. myininaya

If so it it rational If not it is irrational

4. radar

291 87/100

5. myininaya

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

6. anonymous

i dont even understand what he put i dont even understand the question

7. myininaya

Basically it is asking if you can write it as an integer over and integer or not

8. myininaya

$\text{ example } 21.23 \text{ is rational because } 21.23=\frac{2123}{100}$

9. myininaya

2123 and 100 are integers

10. myininaya

10.421=10421/1000 is rational too

11. anonymous

so another words it rational because its equivalent to a fraction

12. myininaya

a fraction that is only composed of integers integers are {...,-3,-2,-1,0,1,2,3,...}

13. anonymous

wow im confused

14. myininaya

an example of irrational is 2.533333343536346346436346363634564352345325235.... keeps going and has no pattern

15. myininaya

your number terminates so it is rational

16. myininaya

if the decimal part has a pattern it would also be rational since it can be written as an integer over an integer

17. myininaya

just like one that terminates can be written as an integer over an integer

18. myininaya

pattern or terminates=> rational

19. myininaya

no pattern and forever never ending=>irrational

20. myininaya

is that less complicated?

21. radar

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

22. anonymous

yes thank you

23. 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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