Are all these Rational?
{0.947, −0.99, 5/11}
@Hero

Question

Are all these Rational? 
{0.947, −0.99, 5/11}
@Hero

jim_thompson5910 · Answer

Have a look at this page http://www.eduplace.com/math/mathsteps/7/a/ it explains where terminating decimal numbers fit in (whether they are rational or irrational)

anonymous · Answer

I think they are because the question is... Which of the following sets contains only rational numbers? A. {-3/10, √25, π} <-----> Pi is irrational B. {05, 06392…} There's a line over 5 in the 05. <----> I think 06392 is irrational C. {0.947, −0.99, 5/11} There's a line over 7 in 0.947 D. {√11, 0.2, −4/9} <----> √11 is irrational

jim_thompson5910 · Answer

repeating decimals are mentioned in that link as well

dan815 · Answer

jim thompson

dan815 · Answer

sqrt of all prime numbers is irrational?

anonymous · Answer

So I'm wrong?

dan815 · Answer

no sqrt11 is irrational you are right

anonymous · Answer

@Hero @jim_thompson5910 I'm right? :)

hero · Answer

@dan815, can you think of a prime number which you can take the square root of and get a rational number?

hero · Answer

If so, post it here.

anonymous · Answer

@hero am I right? I gotta go to bed soon. :)

dan815 · Answer

i dont let me think of this proof

hero · Answer

Good luck with the proof. But before you think of one, read this: https://proofwiki.org/wiki/Square_Root_of_Prime_is_Irrational

dan815 · Answer

well thats just brilliant

dan815 · Answer

i guess its pretty silly for a sqrt of prime to be a fraction

anonymous · Answer

So am I right? @dan815 @Hero

dan815 · Answer

yes! look at that proof its nice

hero · Answer

@CrazyCountryGirl which answer choice did you pick?

hero · Answer

I think you have it correct

anonymous · Answer

I picked B. :)

hero · Answer

B? Explain....

anonymous · Answer

Woops! Typo, I mean C. :) Sorry I type to fast. Here's my explanations. :) A. {-3/10, √25, π} <-----> Pi is irrational B. {05, 06392…} There's a line over 5 in the 05. <----> I think 06392 is irrational C. {0.947, −0.99, 5/11} There's a line over 7 in 0.947 D. {√11, 0.2, −4/9} <----> √11 is irrational

anonymous · Answer

Er....did you read what I wrote. I said typo... My answer is C....

hero · Answer

Yes, I did, but you keep going back and forth confusing me.

hero · Answer

C is correct. You could use a personal tutor.

anonymous · Answer

Thanks! Why would I need a personal tutor, I've though it was C all along. :)