### 4.15.3 number operations

`+`
  addition
`-`
  negation or subtraction
`*`
  multiplication
`/`
  division
`%`, `mod`
  modulo
`^`, `**`
  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);
    ==> // ** int division with `/`: use `div` instead in line >>  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 or before ./examples/number_operations.sing line 1\
       2: `  2^-2; // for int's exponent must be non-negative`
      number(2)^-2;
    ==> 1/4
      3/4>=2/5;
    ==> 1
      2/6==1/3;
    ==> 1

User manual for Singular version 4.4.1, 2025, generated by texi2html.