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Math Help - Zero properties

  1. #1
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    Zero properties

    Hello, there's something i've been wondering about through these days. Why does zero share the same properties as any other number? Like

    n( n+1) = n^2 + n

    n+n+n=3n

    n( x+y) = nx + ny

    why are those properties valid even for zero? I now this might seem stupid, but it has been messing with my mind. I know that if i do all the calculations it will say so, i just can't find a theoretical explanation for it. Can someone help me plz?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Zero properties

    Because zero is just a number like any other number, only dividing by zero is undefined and not allowed.
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  3. #3
    Super Member Quacky's Avatar
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    Re: Zero properties

    Didn't you ask this a few hours ago? Why wouldn't 0 be another number?
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  4. #4
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    Re: Zero properties

    I just dont get the intuition. something + something is twice something. But nothing + nothing equals twice nothing?
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  5. #5
    MHF Contributor Siron's Avatar
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    Re: Zero properties

    Yes,
    nothing + nothing = nothing
    (0+0=0)
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  6. #6
    Super Member Quacky's Avatar
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    Re: Zero properties

    Quote Originally Posted by Siron View Post
    Yes,
    nothing + nothing = nothing
    (0+0=0)
    I like to think of it this way: If I have an open container, and I try my very hardest, how much nothing can I fit inside before it bursts?
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  7. #7
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    Re: Zero properties

    infinite
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