Arithmetic is an elementary branch of mathematics that is widely used for tasks ranging from simple day-to-day counting to advanced science and business calculations.
Essence of arithmetic
History of arithmetic
Arithmetic operations and related concepts
- Order of operations
 - Addition
- Summation – Answer after adding a sequence of numbers
 - Additive inverse
 
 - Subtraction – Taking away numbers
 - Multiplication – Repeated addition
- Multiple – Product of multiplication
 - Multiplicative inverse
 
 - Division – Repeated subtraction
- Modulo – The remainder of division
 - Quotient – Result of division
 - Quotition and partition – How many parts are there, and what is the size of each part
 - Fraction – A number that is not whole, often shown as a division equation
- Decimal fraction – Representation of a fraction in the form of a number
 - Proper fraction – Fraction with a numerator that is less than the denominator
 - Improper fraction – Fractions with a numerator that is any number
 - Ratio – Showing how much one number can go into another
 - Least common denominator – Least common multiple of two or more fractions' denominators
 
 - Factoring – Breaking a number down into its products
- Fundamental theorem of arithmetic
 - Prime number – Number divisible by only 1 or itself
 - Composite number – Number made of two smaller integers
 - Factor – A number that can be divided from its original number to get a whole number
- Greatest common factor – Greatest factor that is common between two numbers
 - Euclid's algorithm for finding greatest common divisors
 
 
 
 - Exponentiation (power) – Repeated multiplication
- Square root – Reversal of a power of 2 (exponent of 1/2)
 - Cube root – Reversal of a power of 3 (exponent of 1/3)
 
 - Properties of Operations
 - Factorial – Multiplication of numbers from the current number to 0
 
Types of numbers
Elementary statistics
Other basic concepts
Modern arithmetic
See also
External links
- MathWorld article about arithmetic
 - The New Student's Reference Work/Arithmetic (historical)
 - Maximus Planudes' the Great Calculation an early western work on arithmetic at Convergence
 
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