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Needs:
Real Multiplicative Inverses
Needed by:
Complex Numbers
Periodic Functions
Rational Real Homomorphism
Real Binomial Expansions
Real Modular Arithmetic
Real Polynomials
Real Squares
Links:
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Real Arithmetic

Why

What are addition and multiplication for reals? What are the identity elements?

Definition

We call the operation of forming real sums real addition. We call the operation of forming real products real multiplication.

Results

It is easy to see the following.1

Distributive

For reals $x, y, z \in \Z $, $x \cdot (y + z) = x\cdot y + x\cdot z$.

  1. Nonetheless, the full accounts will appear in future editions. ↩︎
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