Explain associative property distributive property communicative property and closure property of integers give three examples and try all the properties for rational numbers.
Answers
Answer:n mathematics, the associative property[1] is a property of some binary operations. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed. That is, (after rewriting the expression with parentheses and in infix notation if necessary) rearranging the parentheses in such an expression will not change its value. Consider the following equations:
{\displaystyle (2+3)+4=2+(3+4)=9\,}(2+3)+4=2+(3+4)=9\,
Distributive property explains that the operation performed on numbers, available in brackets can be distributed for each number.
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it
A set is closed under an operation if performance of that operation on members of the set always produces a member of that set.
Step-by-step explanation: