Weird Maths

Hey everyone! Today i'm gonna post a weird math fact. Yes, I know it's math and that it may not be particularly fun, but hey, we've gotta have some variety here. So here we go.

If I tell you to write the number one, about 100% of the population would write "1". However, there is another way to write it. 1=0.99999999... Wait, what? Yes despite logic would tell you 0.99999999... is less than 1, it is not. It is also not an aproximation or estimate, it is EQUAL. Both represent one.

How is this possible? Well, there are many evidences to prove this. However, most of them are quite complex and well, flat out boring. So, I'll just give you the two simplest explanations:

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EXPLANATION 1:
 This one is realy easy to visualize, really.

1  =  0.3333333....
3

2 = 0.666666666....

3

3 = 0.9999999....  OR   3 = 1 = 1
3                                    3    1

Therefore 1, 3 and 0.9999999... are equivalent
                     3

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EXPLANATION 2:
   A tad more complicated, but has a formula that looks smart and bears solid proof.

x = 0.9999999999...
10x =  9.999999999...                            (Multiplied both sides by ten)
10x - x = 9.999999... - 0.9999999...      (Substracted one tenth of each side)
9x = 9
x = 1                                                      (Divided both sides by nine)

As you can see, in the first statement x = 0.999999999..., but in  the last x = 1, proving that these two numbers have the same value.
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Well there it is. I hope you got through the explanation. Don't worry, I won't make math a habit on our blog. Anyways, we highly encourage the usage of our blog posts to make you seem smarter, start conversations, bewilder people, and other similar activities.