Examples for

Numbers are mathematical entities that originally came into use to satisfy a need to count objects and measure quantities. From tallying systems and counting numbers to integers, zero, rational numbers, irrational numbers, complex numbers and beyond, progressively broader sets of numbers came into use over time as the need for more general numeric entities arose. Use Wolfram|Alpha's computational knowledge of these and other number sets and systems to identify their properties or to perform calculations in and across their respective domains.

Perform arithmetic with integers or compute properties about a particular integer.

Perform computations with or identify the properties of numbers that cannot be expressed as quotients of integers.

Work with the set of numbers with real and imaginary parts.

Attempt to express approximate numbers using exact numbers, and vice versa.

Find a number name, determine properties of a named number or solve word problems containing named numbers.

Perform computations with or identify the properties of numbers that can be expressed as quotients of integers.

Check whether numbers are algebraic, compute the properties of algebraic numbers or find minimal polynomials of algebraic numbers.

Perform computations without sacrificing accuracy.

Convert numbers to and from different number bases and compute the results of a variety of bitwise, arithmetic and other operations in non-decimal number bases.

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

Ask about nonalgebraic numbers.

Learn about and utilize well-known constants from different areas of mathematics.

Convert numbers to and from historical number systems.