Ask your own question, for FREE!
Mathematics 90 Online
OpenStudy (anonymous):

True or False? 1. All real numbers are either rational or irrational? 2. Every real number can be represented as a decimal, and every decimal represents a real number?

OpenStudy (anonymous):

The last one is a single question, not two. So if one part of it is false, it's false.

OpenStudy (anonymous):

Both are false in the last one. Non-terminating decimals are decimals too.

OpenStudy (anonymous):

oh thank you!

OpenStudy (anonymous):

Glad to help :)

OpenStudy (experimentx):

what is decimal??

OpenStudy (anonymous):

.-> decimal

OpenStudy (blacksteel):

Fool, for my own edification, if both parts of 2 are false can you provide an example of a real number that can't be represented as a decimal, and a decimal that's not a real number?

OpenStudy (anonymous):

Do you agree that irrationals are non-terminating decimals?

OpenStudy (blacksteel):

Of course

OpenStudy (anonymous):

OMG! I read the second part as rationals. My apologies! and thanks a ton for asking for the clarification.

OpenStudy (blacksteel):

Lol, okay, that's what I thought. I was very confused there for a second.

OpenStudy (blacksteel):

So in that case they're all true, right?

OpenStudy (experimentx):

can irrational numbers really be written as decimals?? they are non terminating right??

OpenStudy (anonymous):

"Every real number can be represented as a decimal, and every decimal represents a real number" Every real number can be represented as a decimal --> True since non-terminating decimals are decimals too. And every decimal represents a real number --> This is just the vice versa of the first statement. Hence true. That's making the whole statement true. So both the statements are true.

OpenStudy (anonymous):

@algebraprobs: Please check the updates. Both statements are TRUE.

OpenStudy (anonymous):

@Blacksteel: My apologies again for making such a stupid mistake on my part. I think now I am gonna dig a hole and put my head inside in it :P

OpenStudy (anonymous):

@experimentX: Yes.

OpenStudy (experimentx):

okay i agree ... if 1.33333.... can be written to infinity then pi can be written as 3.14159...... up to infinity

OpenStudy (anonymous):

Yes. that's right!

OpenStudy (blacksteel):

Precisely. And no worries @FoolForMath , I've made dumber mistakes on here before

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!