4.11.3 number operations

+

addition

-

negation or subtraction

*

multiplication

/

division

^, **

power, exponentiation (by an integer)

<=, >=, ==, <>

comparison

mod

integer modulo (the remainder of the division div), always non-negative

Note: quotient and exponentiation is only recognized as a number expression if it is already a number, see Miscellaneous oddities.
For the behavior of comparison operators in rings with ground field different from real or the rational numbers, see boolean expressions.

Example:

  ring r=0,x,dp;
  number n = 1/2 +1/3;
  n;
→ 5/6
  n/2;
→ 5/12
  1/2/3;
→ 1/6
  1/2 * 1/3;
→ 1/6
  n = 2;
  n^-2;
→ 1/4
  // the following oddities appear here
  2/(2+3);
→ 0
  number(2)/(2+3);
→ 2/5
  2^-2; // for int's exponent must be non-negative
→    ? exponent must be non-negative
→    ? error occurred in line 12: `  2^-2; // for int's exponent must be no\
   n-negative`
  number(2)^-2;
→ 1/4
  3/4>=2/5;
→ 1
  2/6==1/3;
→ 1