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2. Multiplication - Wikipedia

   en.wikipedia.org/wiki/Multiplication

   One of the main properties of multiplication is the commutative property, which states in this case that adding 3 copies of 4 gives the same result as adding 4 copies of 3: = + + + = Thus, the designation of multiplier and multiplicand does not affect the result of the multiplication. [1] [2]

3. Distributive property - Wikipedia

   en.wikipedia.org/wiki/Distributive_property

   Download as PDF; Printable version; ... the distributive property of binary operations is a generalization of the ... When multiplication is mentioned in elementary ...

4. Field (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Field_(mathematics)

   Basic theorems in analysis hinge on the structural properties of the field of real numbers. Most importantly for algebraic purposes, any field may be used as the scalars for a vector space, which is the standard general context for linear algebra. Number fields, the siblings of the field of rational numbers, are studied in depth in number theory.

5. Natural number - Wikipedia

   en.wikipedia.org/wiki/Natural_number

   Addition and multiplication are compatible, which is expressed in the distribution law: a × (b + c) = (a × b) + (a × c). These properties of addition and multiplication make the natural numbers an instance of a commutative semiring. Semirings are an algebraic generalization of the natural numbers where multiplication is not necessarily ...

6. Commutative property - Wikipedia

   en.wikipedia.org/wiki/Commutative_property

   The Egyptians used the commutative property of multiplication to simplify computing products. [7] [8] Euclid is known to have assumed the commutative property of multiplication in his book Elements. [9] Formal uses of the commutative property arose in the late 18th and early 19th centuries, when mathematicians began to work on a theory of ...

7. Conversion of units - Wikipedia

   en.wikipedia.org/wiki/Conversion_of_units

   Because of the identity property of multiplication, multiplying any quantity (physical or not) by the dimensionless 1 does not change that quantity. [5] Once this and the conversion factor for seconds per hour have been multiplied by the original fraction to cancel out the units mile and hour, 10 miles per hour converts to 4.4704 metres per second.