- #1

- 131

- 1

**Is this True for all no.s??**

Is this true for all no.s (a)?

a-a = a*0

- Thread starter johncena
- Start date

- #1

- 131

- 1

Is this true for all no.s (a)?

a-a = a*0

- #2

- 286

- 0

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

- Replies
- 11

- Views
- 1K

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 11

- Views
- 2K

- Replies
- 3

- Views
- 732

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 2

- Views
- 1K

- Replies
- 6

- Views
- 903

- Last Post

- Replies
- 2

- Views
- 2K

- Replies
- 2

- Views
- 2K