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The definition of multiplication is a part of all these definitions. A fundamental aspect of these definitions is that every real number can be approximated to any accuracy by rational numbers . A standard way for expressing this is that every real number is the least upper bound of a set of rational numbers.
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.For example, 21 is the product of 3 and 7 (the result of multiplication), and (+) is the product of and (+) (indicating that the two factors should be multiplied together).
Multiplication is an arithmetic operation in which two numbers, called the multiplier and the multiplicand, are combined into a single number called the product. [50] [d] The symbols of multiplication are , , and *.
Sometimes the letters are expanded into words of a mnemonic sentence such as "Please Excuse My Dear Aunt Sally". [25] The United Kingdom and other Commonwealth countries may use BODMAS (or sometimes BOMDAS), standing for Brackets, Of, Division/Multiplication, Addition/Subtraction, with "of" meaning fraction multiplication.
For the second portion of the list, see List of words having different meanings in American and British English: M–Z. Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other region; other definitions may be recognised by the other as Briticisms or Americanisms respectively. Additional usage ...
3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.
For the first portion of the list, see List of words having different meanings in American and British English (A–L). Asterisked (*) meanings, though found chiefly in the specified region, also have some currency in the other dialect; other definitions may be recognised by the other as Briticisms or Americanisms respectively. Additional usage ...
Multiplication is often defined for natural numbers, then extended to whole numbers, fractions, and irrational numbers. However, abstract algebra has a more general definition of multiplication as a binary operation on some objects that may or may not be numbers. Notably, one can multiply complex numbers, vectors, matrices, and quaternions.