Is this True for all no.s?

  • Thread starter johncena
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  • #1
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Is this True for all no.s??

Is this true for all no.s (a)?
a-a = a*0
 

Answers and Replies

  • #2
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In any number system that has additive and multiplicative identities, additive inverses, and is distributive, yes.

[tex]a \cdot 0 = a \cdot (0+0) = (a \cdot 0) + (a \cdot 0)[/tex]

This can only be true if [itex]a \cdot 0 = 0[/itex]

[tex]a - a = a + (-a) = 0 \text{ by defintion.}[/tex]

--Elucidus
 

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