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Base

Explore Base on MathWorld


(1) In a number of system, the base is the number of distinct digits used to represent numbers. (2) In a logarithm, the base is the number with respect to which the power operation is inverted to form the logarithm. (3) In a geometric figure, the term base is used to refer to the bottom edge or surface.

Base is a middle school-level concept.

Examples

Binary: Binary refers to the "base 2" method of counting, in which only the digits 0 and 1 are used.
Decimal Expansion: The decimal expansion of a number is the usual "base 10" representation of a real number.

Prerequisites

Integer: An integer is one of the numbers ..., -2, -1, 0, 1, 2, ....

Classroom Articles on Pre-Algebra (Up to Middle School Level)

  • Absolute Value
  • Origin
  • Arithmetic
  • Polynomial
  • Arithmetic Series
  • Power
  • Associative
  • Prime Factor
  • Cartesian Coordinates
  • Prime Factorization
  • Commutative
  • Prime Number
  • Distributive
  • Pythagorean Theorem
  • Divisor
  • Quotient
  • Equal
  • Real Line
  • Factorial
  • Real Number
  • Fraction
  • Relatively Prime
  • Function Graph
  • Right Angle
  • Geometric Series
  • Rounding
  • Greatest Common Divisor
  • Sequence
  • Intersection
  • Series
  • Interval
  • Set
  • Irrational Number
  • Square Number
  • Least Common Multiple
  • Square Root
  • Line