The Art of Mathematics

Help 3.1.8

* — multiply operator

1. Definition

Multiply operator is equivalent of multiple addition of the same number:

x1 + x2 + ... + xn = nx, here x1 = x2 = ... = xn = x

2. Identities

Symmetry:

ab = ba

Zero multiplier:

a × 0 = 0

Sum and difference:

(a + b) c = ac + bc
(ab) c = acbc

Associativity:

abc = a (bc)

3. How to use

To multiply numbers:

7*2;

To multiply complex numbers:

(7+i*5)*(2−i);

To engage current result as multiplier:

rslt*2;

To engage number z in memory as multiplier:

mem[z]*2;

To mulitply numbers z and w in memory:

mem[z]*mem[w];

4. Support

Multiplication of complex numbers is supported in professional version of the Librow calculator.