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Why is 0 not a identity element for multiplication?
An Identity element in multiplication is one that when you multiply a value by the identity element, that the original value is returned. The only identity element in multiplication is 1. If you multiply any value (other than infinity which is a special case of mathematics), the value returned will be 0. The identity element for addition is 0.
What are the properties of the law of closure in mathematics?
Given any elements x and y in a set and @ a binary operator, x @ y is also an element of the set.
What is pure math?
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.
What is the law of closure in Mathematics?
The law of closure states that a set of numbers is closed under an operation if when the operation is performed on any two elements of the set the result is an element of the set
What does mathematics have to do with math?
'Math(s)' is the shortened word for 'Mathematics'. The word 'mathematics' comes from Classical Greece, and means 'to learn'.
