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?
The last one is a single question, not two. So if one part of it is false, it's false.
Both are false in the last one. Non-terminating decimals are decimals too.
oh thank you!
Glad to help :)
what is decimal??
.-> decimal
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?
Do you agree that irrationals are non-terminating decimals?
Of course
OMG! I read the second part as rationals. My apologies! and thanks a ton for asking for the clarification.
Lol, okay, that's what I thought. I was very confused there for a second.
So in that case they're all true, right?
can irrational numbers really be written as decimals?? they are non terminating right??
"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.
@algebraprobs: Please check the updates. Both statements are TRUE.
@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
@experimentX: Yes.
okay i agree ... if 1.33333.... can be written to infinity then pi can be written as 3.14159...... up to infinity
Yes. that's right!
Precisely. And no worries @FoolForMath , I've made dumber mistakes on here before
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