[ SECRET POST #3056 ]

[case]

⌈ Secret Post #3056 ⌋

Warning: Some secrets are NOT worksafe and may contain SPOILERS.

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Notes:

Secrets Left to Post: 03 pages, 062 secrets from Secret Submission Post #437.
Secrets Not Posted: [ 0 - broken links ], [ 0 - not!secrets ], [ 0 - not!fandom ], [ 0 - too big ], [ 0 - repeat ].
Current Secret Submissions Post: here.
Suggestions, comments, and concerns should go here.

Comments

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

How 0.99999(repeating) = 1, and not the smallest possible number just before 1. It's been explained to me before on several occasions, I just cannot compute.

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

I just heard this for the first time the other day, and it makes zero sense to me, either.

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

Think about it this way.

Two numbers are the same if there's no difference between them.

What's the difference between .99999 (repeating infinitely) and 1?

There can't be any - it can't be .0000000001 no matter how many zeros you put in there, since the nines just keep going on to infinity. So, since there's no difference between the two numbers, they're the same.

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

https://www.youtube.com/watch?v=VI6UdOUg0kg

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

Then the zeroes repeat infinitely, too. It just doesn't make any sense.

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

Once you've defined an ending point, they can't repeat infinitely.

Re: What's something you don't understand, even when it's explained to you?

[flipthefrog.livejournal.com]

Okay, let's do it the way I learned it in high school:

Let 0.99999999...=X
10X=9.9999999....
10X-X=9.9999999... - 0.99999999...
9X=9
X=1

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

Works for me, thank you :)

Re: What's something you don't understand, even when it's explained to you?

[diet_poison]

see

this makes sense

I wish I'd had it explained to me like this in high school (and for the record I had an excellent math teacher when I first learned this, but it was treated more as trivia, and wasn't relevant directly to our material)

we did have a marching band/footbal cheer based on it though, and got a couple extra credit points for having our director vouch that we used it during games :P

Re: What's something you don't understand, even when it's explained to you?

[cbrachyrhynchos]

It's simple:

1/3 = .333(repeating)
2/3 = .666(repeating)
3/3 = .999(repeating)

All you're looking at is a difference in notation.

Re: What's something you don't understand, even when it's explained to you?

[diet_poison]

I thought 2/3 was supposed to equal 6.666......67

Re: What's something you don't understand, even when it's explained to you?

[(Anonymous)]

Nope, it equals .6666.... repeating. We just end it with a 7 for the sake of rounding, but precisely, it's .66666... to infinity.

Re: What's something you don't understand, even when it's explained to you?

[cbrachyrhynchos]

That's rounded off to an arbitrary number of digits because most calculators can't handle rational numbers.

Re: What's something you don't understand, even when it's explained to you?

[diet_poison]

You mean can't handle irrational numbers? :P

But yeah, ok, that makes sense.

Re: What's something you don't understand, even when it's explained to you?

[cbrachyrhynchos]

It's a rational number if it can be expressed as a whole-number fraction. These can also be expressed as a repeating decimal (1/3 = 0.333(repeating)) or a terminating decimal (1/4 = 0.25). Some programming languages (primarily the lisp family) have a rational type that's used to avoid rounding errors although the fractions often become unreadable.

Irrational numbers don't have a repeating pattern in decimal notation.

Re: What's something you don't understand, even when it's explained to you?

[diet_poison]

I do know what rational and irrational numbers are.

You said calculators can't handle rational numbers. I was asking if you meant to say they can't handle irrational numbers.