0.9 Repeating Equal to 1 Algebraic Proof | Fun Math JusticeTheTutor #shorts #maths #math

[pvppro]

the cashier explaing why i need to pay one more cent:

[unofficialjj]

It’s partly wrong.
What you did was manipulate infinity.
Let’s try this with a finite number say 0.999 with only three 9’s. The multiplication with 10 gives 9.99, and the separation gives 9+0.99 (notice it’s only two 9’s now). You can’t do a substitution of x here since 0.99 is not equal to 0.999 (Yes they are approximately the same, or equivalent by approximation, but not EQUAL.)
Now this works with infinite numbers, but the only problem is they keep going on. In your case, after you multiplied 10, you made one infinity one 9 ahead of the other and thus not equal, but approximately the same. Thus proving the original math that says 0.9 is approximately 1 but not equal to 1.
There’s an approximate symbol by the way, but I can’t write it here. It’s like “~~” on top each other like an equals sign.

[saginur]

My explaining to my teacher why she should round my 37 to 100:

[terraaw]

Physists say yes, engineers say no, mathematicians screech in a corner.

[ianwesterhoff]

The way he draws X is all the credentials I need

[iclassicify]

My chemistry teacher explaining why she rounded 500 to 1 million

[AbiManyu-kqjj]

this is why my professors should round up my grades from 36% to and A+

[gilthenrill]

Perfectionist students explaining to their teacher why she should round their score from 99 to 100

[bemimu]

Khan Academy should hire this guy, he doesn't take 10 seconds to switch pen colors.

[AvyScottandFlower]

This feels like me inventing formulas in the middle of a test I clearly didn't even study for, lol

[TH-frnv]

The … behind 0.999… implies that the number is reaching infinitely long, which means the concept of limits should be applied, as it is infinitely close to 1, taking limit the number would equal to 1
Below is the mathematical prove
we can create a geometric sequence with first term 0.9, common ratio 0.1, the sum of this geometric sequence is 0.9+0.09+0.009+….=0.999…
As the common ratio is less than 1, we can conclude the the series is convergent and apply the sum to infinity formula a/(1-r)= sum of geocentric sequence
Hence we will get 0.9/0.9=1

[willyk]

Your first mistake here was assuming I was good at math

[mikl]

Him: *explains in detail*

Me: In kindergarten we were taught to round up, so i rounded up 👁👄👁

[corvus]

"Infinity is a concept, not a number"

[Ebagmadits]

Hes tryna make it .1 centimeter longer I respect that

[inferx_]

Shop: price is 99p. Me: pays £1. Shop: gives no change. And I took that personally

[Nereplan]

Your x screams "you'll search for me a lot during uni exams"

[qu]

When you left high school to do tik-tok

[astroorbis]

Now ask JavaScript why 0.1 + 0.2 != 0.3

[CocoNot.]

When you discover the maths section of Wikipedia: