Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (tashywuzhere):

9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth

OpenStudy (tashywuzhere):

@TheSmartOne @BrainlyOfficial @Evoker

OpenStudy (misssmartiez):

Repeating post: Terminating decimals and repeating decimals are RATIONAL, because its easy to predict what number will come next: 0.66666666666666 What will come next? 6 MOST likely. 0.7 ends at 7, so it is easy to rationalize. Other rational numbers? Whole numbers, (8, 5, 6,) and integers, (-5, 3, -4.) IF ITS IRRATIONAL, its random and cannot be predicted: 0.56056563542666788632463535....

OpenStudy (misssmartiez):

Can we rationalize this number, Tashy?

OpenStudy (tashywuzhere):

....Um idk. Im jus tryna figure out how to do this

OpenStudy (misssmartiez):

Hmm, is that the ACTUAL number?

OpenStudy (misssmartiez):

Or is it rounded?

OpenStudy (tashywuzhere):

actual number yes

OpenStudy (misssmartiez):

I don't get this, because, well, it is a rational number. if it was 9.749538556 (random numbers,) then it would be irrational because we can't rationalize what comes next or predict it. However, here, its a rational number, (hence its a terminating decimal, or thats what you put.)

OpenStudy (tashywuzhere):

well is 9.05 irrational?

OpenStudy (misssmartiez):

Nope. If it wasn't cut off and rounded, then it wouldn't be. if it was 9.044383838282 then yes. However, it STOPS at a certain number, which is a terminating decimal. THAT belongs in the rational category. No?

OpenStudy (welshfella):

9.05 is rational because it can be written as 905 / 100

OpenStudy (misssmartiez):

^

OpenStudy (welshfella):

what is the original question?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!