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what makes a number rational or irrational?

 Apr 19, 2014

Best Answer 

 #1
avatar+128460 
+5

what makes a number rational or irrational?

If it can be expressed as a fraction (a ratio) it is rational

Thus (2/3), (5/1), (6/239) are rational....."Repeating" decimals are rational, as well - ex., .3333333333= (1/3)

Also, any "mixed" number is also rational.....5+(1/3) = 16/5

As you might have guessed by now, anything that we can't express as a fraction is "irrational"

Non-repeating decimals are irrational. Thus, things like "pi" or "e"  are irrational. Anything that remains under a "root" is also irrational....√(2), √(pi), 4√(13), for example....

Hope that helps....

 Apr 19, 2014
 #1
avatar+128460 
+5
Best Answer

what makes a number rational or irrational?

If it can be expressed as a fraction (a ratio) it is rational

Thus (2/3), (5/1), (6/239) are rational....."Repeating" decimals are rational, as well - ex., .3333333333= (1/3)

Also, any "mixed" number is also rational.....5+(1/3) = 16/5

As you might have guessed by now, anything that we can't express as a fraction is "irrational"

Non-repeating decimals are irrational. Thus, things like "pi" or "e"  are irrational. Anything that remains under a "root" is also irrational....√(2), √(pi), 4√(13), for example....

Hope that helps....

CPhill Apr 19, 2014

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