So. Let's say 1 =.999 repeating (my math proof)
Let's also say x =.999 repeating We multiply each side by 10 to get
10x = 9.999 repeating
Subtract x from each side and since we said x = .999 repeating...
9x = 9
x = 1 = .999
You might have already been aware of this concept.
Here is another one,
1/3 =.333...
2/3 =.666...
3/3 = .999...
1 = .999...

Topic 2,
2 = 1
Now, this one has an error in it, let's see if you can find it.
2 = 1
a = b
a^2 = ab (a = b as said on the second statement)
a^2 - b^2 = ab - b^2
Now I am going to factorize
(a+b)(a-b) = b(a-b)
Simplify
a + b = b
Since a = b
b + b = b
Subsitute b for 1,
1 + 1 = 1
2 = 1

Now, in math class, you might have heard about you can't divide by 0.
Now, why is that?
Let's say one person says Ummm.... x/0 = 0.
So now let's prove that wrong.
What do you get if
12 no?
12/.1 = 120
12/.01 = 1200
12/.001 = 12000
12/.0001 = 120000
and so on.
What will happen if we reach 0? It will keep on getting smaller and smaller and smaller for infinite possibilities. We subtract infinity and we finally reach 0. What is 12/0? That's like saying what's 0 * x = 12. No matter what you do it will never be 12. Then another guy says, hey! When x/0, x = 1! He feels very smart of himself but then you just say, does 1*0 = 12? This is why dividing by 0 is undefined. Thanks for reading, I will be sure to add more notes later on. Thanks for stopping by, be sure to point out the mistake in example # 2. Note by Mathmetician Scientist
1 year, 10 months ago

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For Topic 2, it's the third line that's wrong.

- 1 year, 2 months ago