Examples for

Number Type Arithmetic

It is sometimes useful to do arithmetic on values that are only partially specified in order to determine as much information as possible about the result. Given an expression involving general types of numbers, such as "even integer + odd integer," Wolfram|Alpha is capable of determining the most specific number type that encompasses all possible results: in this case, "odd integer." Supported number categories include positives, negatives, integers, rationals, irrationals, reals and complexes. Supported arithmetic operators include addition, subtraction, division, multiplication and exponentiation.
Number Type Arithmetic

Find the most specific number type that encompasses all possible outputs from an expression involving general number types.

Determine parity:

1 + (even number * odd number)
even number ^ positive integer

Determine sign:

negative number ^ 40
negative integer - nonnegative rational
negative integer * negative integer

Determine number type:

negative integer / positive integer
rational number + positive even
square root of integer
nonnegative integer ^ rational
integer / integer
integer + integer
integer ^ rational
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