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Weird Maths (6 / 1.5)


SiRaLeX

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I had to divide 6 through 1.5, so I tried to do it the easy way:

 

6 / 1 = 6

6 / 2 = 3

 

The logical assumption would be:

 

6 / 1.5 = 4.5

 

Boy, I was wrong!  O_o

 

6 / 1.5 = 4

 

Yes, that's right, the correct answer is 4! I mean, it's pretty logical if you think about it. Anyone else finds this confusing though?  :laugh:

 

 

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X+X=X*X

 

There are 2 answers to be expected from this math problem and other people to your post.

I'll give you the lower number, while you expect people responding with the latter answer. ;)

x +x = x * x

2x = x²

0 = x² -2x

x² -2x = 0

 

0 or 2 right?

 

Im assuming thats x(x-2)=0

x² -2x = 0

x(x -2) = 0

x1 = 0; x2 = 2

 

Correct. That's a quadratic function! But what does this have to do with the topic? The topic is about weird, confusing division rules!

parabola.jpg.3171a233706422015486eaea76148073.jpg

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ugh, alright then, I explain the previous post of mine.

 

Answer 0, you get a 0 for not knowing.

Answer 2. others could say, hey; me two don't know.

I should probably take humour classes in the near future.

 

6 is my favourite math number. You can do all kind of math tricks with it.

1+2+3=1*2*3

stuff like that.

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X+X=X*X

 

There are 2 answers to be expected from this math problem and other people to your post.

I'll give you the lower number, while you expect people responding with the latter answer. ;)

 

or in other words, 0, 2

 

Rearranging stupidly cause well it's fun, only works on 0 and 2 also.

 

2x = x^2

 

x = ( ( x^2 ) / 2)

 

Alternatively you could just realize this is a quadratic form also.

 

ax^2 + bx + C = 0

 

( x^2 - 2x ) = 0

 

factor out the x

 

x ( x - 2 ) = 0

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I had to divide 6 through 1.5, so I tried to do it the easy way:

 

6 / 1 = 6

6 / 2 = 3

 

The logical assumption would be:

 

6 / 1.5 = 4.5

 

Boy, I was wrong!  O_o

 

6 / 1.5 = 4

 

Yes, that's right, the correct answer is 4! I mean, it's pretty logical if you think about it. Anyone else finds this confusing though?  :laugh:

It's weird to you because you're looking at your little sequence like it's multiplication, and not division which it is. Let me extend the sequence to include your 'weird' assumption:

 

6 / 1 = 6

6 / 1.5 = 4.5    <-- Alex's anomaly

6 / 2 = 3

 

You've assumed that dividing 6 by what is HALFWAY between 1 and 2 (which is 1.5) would equal what is HALFWAY between the answers 6 and 3 (which is 4.5), which is obviously incorrect. Now, if it were a multiplication sequence/pattern, then it'll make sense:

 

6 x 1 = 6

6 x 1.5 = 9

6 x 2 = 12

 

In this case, MULTIPLYING by what is HALFWAY between 1 and 2 (which is 1.5) does equal what is HALFWAY between the answers 6 and 12 (which is 9). It works with any other sequence. For example:

 

10 x 10 = 100

10 x 15 = 150

10 x 20 = 200

 

 

or

 

10 x 1.5 = 15

10 x 2 = 20

10 x 2.5 = 25

 

or whatever. But I do admit that at a glance, especially because of the way you've described it, it did look kinda weird.

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X+X=X*X

 

There are 2 answers to be expected from this math problem and other people to your post.

I'll give you the lower number, while you expect people responding with the latter answer. ;)

x +x = x * x

2x = x²

0 = x² -2x

x² -2x = 0

 

0 or 2 right?

 

Im assuming thats x(x-2)=0

x² -2x = 0

x(x -2) = 0

x1 = 0; x2 = 2

 

Correct. That's a quadratic function! But what does this have to do with the topic? The topic is about weird, confusing division rules!

 

That is correct only if your algebra is a domain of integrity. (a*b = 0 <=> a = 0 or b = 0) Take, for instance, the ring (Mn®, +, *). Then X(X - 2I) = 0 do not imply that X = 0 or X - 2I = 0 are the only solutions. Take the matrix:

[ 2  0 ]

[ 0  0 ]

It is different from 0 and 2*I and still solves your equation.

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Thanks Brian, that's the kind of post I've been looking for!  :)  Haha, thanks for naming it "Alex's anomaly" - maybe they'll teach this to first or second graders in school and have some good laughs of how stupid I am in a couple of years time. I'd really love having a math problem named after me!  :cncsmirk:

 

So, if:

6 / 1    = 6
6 / 1.5  = 4
6 / 2    = 3

 

I really wonder what...

 

6 / X = 4.5

would be?

 

Let's find out!

6 / X      = 4.5           | * X
6          = 4.5X          | * 2
12         = 9X            | / 9
12 / 9     = X
4 / 3      = X
1.3333333  = X

 

Note that there's actually a period on 1.3 (as if this wasn't confusing enough).  :laugh:  So:

6 / 1           = 6
6 / 1.2         = 5
6 / 1.3333333   = 4.5
6 / 1.5         = 4
6 / 2           = 3

I extended this with 1.2, too, which is interesting - but completely illogical! Weird as phuck! Damn you, maths!!!  :ranting:

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Thanks, I figured it out. Division sucks and curves are hella confusing! Did you see what happens when you're dealing with negative numbers?  :yuri:

 

x > 0 and dividend > 0 ---> 1st quadrant

x > 0 and dividend < 0 ---> 2nd quadrant  :ranting:

x < 0 and dividend > 0  ---> 3rd quadrant  :ranting:

x < 0 and dividend < 0 ---> 4th quadrant  :ranting:

 

It basically mirrors the graph into any of the said quadrants (pretty sure this is correct, somebody check please).  :huh:

 

Furter reading: http://zonalandeducation.com/mmts/functionInstitute/rationalFunctions/oneOverX/oneOverX.html

 

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