Singular

4.13.3 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 ```