Equations - Constant

Constant

Definition and Mathematical Role

A constant is a fixed value that does not change. In algebra, constants are real numbers that appear in expressions and equations, usually without variables attached to them. Constants play a fundamental role in defining equations, functions, and mathematical models.

Representation of a mathematical constant

Examples of Constants

  • \( \pi \approx 3.14159 \) – The ratio of circumference to diameter in a circle.
  • \( e \approx 2.71828 \) – The base of natural logarithms.
  • Fixed values like 2, -7, 0.5 in algebraic expressions such as \( 3x + 2 \).

Applications

  • Used in defining fixed parameters in mathematical equations.
  • Essential in physics (e.g., gravitational constant, Planck’s constant).
  • Important in finance for setting base values like interest rates.
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