Is the repeating decimal .9999999 equal to 1?
.33333 repeating is equal to one third.
.6666 repeating is equal to two thirds.
.333333 + .66666 = 1
Some math nerds like bigneck say that .9999 repeating is not equal to 1.
Don’t listen to bigneck.
Flat,
.87632 = .87632
17 = 17
1 = 1
.99999999 = .99999999
you = dork
bigneck
Yes, it’s the same. E.g.,
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Fractions:
2/7 + 5/7 = 7/7 = 1
Decimals:
0.285714 + 0.714285 = 0.999999
Fractions:
2/9 + 7/9 = 9/9 = 1
Decimals:
0.2 + 0.7 = 0.9
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Wrong thinking is punished, right thinking is just as swiftly rewarded. You'll find it an effective combination.**AAUUGGHH! I fed the trolls! Now they’ll proliferate!
Wrong thinking is punished, right thinking is just as swiftly rewarded. You’ll find it an effective combination.
Flat,
.87632 = .87632
17 = 17
1 = 1
.99999999 = .99999999
you = dork
bigneck
Sorry for posting that last one twice - if I did. Actually, .333333 + .66666 = .999993
We already answered this one down below.
What is it with the logic people anyway?
1 does not & is not a 9 period.
Hey Handy, where was this answered before?
zero point…repeating
Russell
Another way to approach this, is that .99999… = SUM (9*10^-n) as n --> infinity.
It can easily be shown that this infinite sum is 1.
CKDExtHavn, you sound like Fermat in your last post.
THINK! For goodness sake!
Ask yourself if 0.333 = 0.3333?
Is 0.3333 repeating = 0.333?
What is 1/3? Without saying “repeating”, there would be NO exact decimal equivalent!
You see that, from this example,
0.9999 repeating ad infinitum is still < 1!
These are two distinct numbers!
“They’re coming to take me away ha-ha, ho-ho, hee-hee, to the funny farm where life is beautiful all the time… :)” - Napoleon IV
Hey, Jinx! Think!!
1 = 1.
4 = 4.
.25 = .25
Therefore, 1/4 can’t equal .25, can it?
Sheeeeeeesh. [/sarcasm]
.333 is not equal to 1/3
.333333333333 is not equal to 1/3
.33333333[1 billion 3’s]33 is not equal to 1/3
but .3333… where the decimal 3 repeats infinitely many times IS in fact, equal to 1/3.
Again, I suggest we be a little more charitable. Many people have the understandable intuition that .9 repeating does not equal 1. This intution can be modelled in nonstandard number systems without contradition (or so I have heard). The existence of infintesimals is no more problematic than the existence of imaginary numbers.
Tony
Two things fill my mind with ever-increasing wonder and awe: the starry skies above me and the moral law within me. – Kant
Now ask a machinist if .9999 is equal to one.
Most likely he will say no, because they are used to working in tollerences where that .0001 might make a difference in the way a part fits
Hand me that wrench. No, the one that looks like a hammer.
Sig Courtesy of Walley
But, you see, pipefitter, not only are we not talking about machinists and fittings, we’re also not talking about .9999. We’re discussing 0.99999… (“Zero point Nine (with the 9 repeating ad infinitum)”). Thus, I think I’ll go with the answer posted by the professional mathematician above who’s already stated for us that not only does 0.99999… (“Zero point Nine (with the 9 repeating ad infinitum)”) equal 1, but that it’s easily proved.
test
“I’m hungry, let’s get a taco.” - Mr. White