A big controversy in math (0.999... = 1)

thx, it was fun and the channel was starting to grow.
It was fun to create the animations in Python to visualize math concepts but it required lots and lots of work … creating the script, creating the animations, making the voice overs, editing the video … it really takes a lot of work (and YouTube pays you almost nothing). Now I keep teaching math but I also produce math videos for an italian book editor, I have less freedom but at least I get paid.

I am subscribed btw :slight_smile:

1 Like

ok i just saw this,but there is a nuber other than zero that is equal to zero , its like a backwards 3 and i think that 0.99999+(backwards 3)=1,so its not 1,but it is infinitely close,like how you never truly place something on a nuberling because you are always a atom or two off,so mathmatically:no,but if you are not pedantic,yes 0.9999 = 0

i assume you meant 0.9999… = 1?
Also its called epsilon btw

2 Likes

yeah, for all non pedantically exact calculations,.9999…=1(but in pedanticness, it is not)

it is actually the inverse … if you wanna be pedantic they are exactly the same.

pretty sure a lot of people on cl are subbed, or maybe just us

btw, in my channel I also have a video where a do a 3.14 km wheelie
while explaining the formulas to calculate π:

Something a bit crazy I made 2 years ago.
My record is actually longer: a 15.5 km wheelie.

:slight_smile:

You are a crazy man.

1 Like

that is just impressive at that point

2 Likes

do a mole wheelie for Mole Day (October 23)

it depends on the measure unit we use for lengths …
if we measure length using the planck length, then Avogadro * Plank Length=
6.0221408e23 * 1.616255e−35 = 9 * 10^12 m = 9 picometers
therefore the wheelie woud be the millionth part of a millimiter … quite easy.

i meant to say kilometers… oops.

1 Like

Do tree(tree(tree(3))) miles wheelie

1 Like

baby distance. do a tree(tree(tree(3))) quettameter wheelie

1 Like

Maybe at that point he just doesn’t do a wheelie :slight_smile:

0.999… = x Given

9.999… = 10x Multiplication Property of Equality

9 + 0.999… = 10x Additive Decomposition

9 + x = 10x Substitution

9 = 9x Subtraction Property of Equality

1 = x Division Property of Equality

0.999… = 1 Transitive Property

This is my take on the question:

x=0.999…

10x=9.999…

10x-x=9.999…-0.999…

10y-y=9y

9x=9

1x=1

x=1

Thus, 0.999… is 1.

1 Like