I did something in math class that had me get a completely different answer because I used decimals.Genji said:
I got it wrong.
.999999999... = 1?
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I got it wrong.
Yeah, you probably rounded the numbers to make them more manageable.
People do that, but that also leads to minor inaccuracies and usually you can't use a normal equivalency sign anymore when you do that.
Back in nightschool this is something I often brought to attention when I tutored friends. Don't be afraid of fractions. Once you get them, they are easy to work with and you usually end up with much more accurate results because you don't have to round.
People do that, but that also leads to minor inaccuracies and usually you can't use a normal equivalency sign anymore when you do that.
Back in nightschool this is something I often brought to attention when I tutored friends. Don't be afraid of fractions. Once you get them, they are easy to work with and you usually end up with much more accurate results because you don't have to round.
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At one point later in school, don't you have to use stuff like the pi button, the radicals, the logs, etc. rather than rounding them to get equations right?Genji said:
Dr. Javelin
Nathan Latsk
you'll eventually start finding answers like 100π, where you're not required to round itMario Party X said:
100π ~ 314.159... but that's not as exact as 100π so the answer 100π is preferred
Well, I was more talking about basic algebra.
I've usually been surrounded by people who, upon being permitted to use a calculator, think it's some sort of miracle machine that will do all the thinking for them. So they'd punch all the numbers in, get some decimal number like "42.2148783723148274312674" in return, and use that as a basis for further calculation. In the end they get overwhelmed because the numbers keep getting more and more unmanageable, so they round in overabundance and in the end get results that are completely off.
It's silly, and it's avoidable. It's always healthy to remember: A calculator is only your friend as long as you know what you're doing with it. You still have to understand the basics and use your head.
I've usually been surrounded by people who, upon being permitted to use a calculator, think it's some sort of miracle machine that will do all the thinking for them. So they'd punch all the numbers in, get some decimal number like "42.2148783723148274312674" in return, and use that as a basis for further calculation. In the end they get overwhelmed because the numbers keep getting more and more unmanageable, so they round in overabundance and in the end get results that are completely off.
It's silly, and it's avoidable. It's always healthy to remember: A calculator is only your friend as long as you know what you're doing with it. You still have to understand the basics and use your head.
BEEEEEAAARRRS
how about a rousing game of pool
yes
surprisingly large amount of people here who also know it
surprisingly large amount of people here who also know it
Dr. Javelin
Nathan Latsk
yeah i don't really know why people use calculators for basic algebra lol. just treat π like a constant that you can't multiply into anything and you'll be fineGenji said:
i think people are taught at first that you need to have pretty looking answers to stuff but multidimensional calculus taught me that you can have stuff like (52 + 6π) and that's an exact answer even though it has a plus sign in it
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Well, you pretty much treat the symbol as a variable.
That's like saying "33 1/3 isn't a 1/3 of 100". But it is.
1=.999999
1=.999999
Yes, but (.5 * 2) is not one value. .999... is. 1 is a also a single value. Two single values can not be the same.Javelin said:
Dr. Javelin
Nathan Latsk
ok, what about 1 and 1.0000000000000000...0000000001
are they the same
are they the same
Dr. Javelin
Nathan Latsk
well if i could figure out how to write the repeating symbol over a zero in bbcode i would
the point is, it doesn't really make sense
.999... describes a limit like cirdec was talking about before. but you can't write 1.000...001 in terms of a limit. plus the implication is that the last one is at the infinityth decimal place, which doesn't make any sense
.999... describes a limit like cirdec was talking about before. but you can't write 1.000...001 in terms of a limit. plus the implication is that the last one is at the infinityth decimal place, which doesn't make any sense
Dr. Javelin
Nathan Latsk
but isn't there a limit of 1+1/n as n approaches infinity? which is the exact same thing but approaching 1 from the opposite direction?
Dr. Javelin
Nathan Latsk
yeah that's what i was trying to say
maybe i should have just made a ms paint version instead of trying to type it out
maybe i should have just made a ms paint version instead of trying to type it out
BEEEEEAAARRRS
how about a rousing game of pool
Megamario15 said:
yes they can
-0 and +0 can be said to be the same thing
and if you won't have that, what about 1/2 and 0.5? Same exact thing, just a different form
all it is is different ways to write the same number
Glitchy Bowser Jr.
"Stuff it, sponge brain!"
This is all hurting my brain...
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mine tooMega Gallade said:
didn't know the forumers were this intelligent
BEEEEEAAARRRS
how about a rousing game of pool
there's always been a bunch of math whiz's here
it's kinda like the shitposters; there's always more to replace the ones that go
it's kinda like the shitposters; there's always more to replace the ones that go
Dr. Javelin
Nathan Latsk
so what's the difference between .999999999... and 1 - (lim x -> ∞ 1/(10^x))
Dr. Javelin
Nathan Latsk
i still feel like i'm missing something here so i'm just going to blame the filthy empiricist master race and leave
rationalists for life
rationalists for life