what are closure property
What are commutative property
What are associative property
What are distributive property and
What are identity property
Answers
Answer:
1. A set that is closed under an operation or collection of operations is said to satisfy aclosure property. Often a closure property is introduced as an axiom, which is then usually called the axiom of closure. ... For example, the set of even integers is closed under addition, but the set of odd integers is not.
2. 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.
3.In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
4.In mathematics, the distributive property of binary operations generalizes the distributive law from Boolean algebra and elementary algebra. In propositional logic, distribution refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunctions within logical proofs.
5.The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.
Step-by-step explanation:
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Answer:
The closure property means that a set is closed for some mathematical operation.
The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result.
In distributive property, it multiplies the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The identity property of 1 says that any number multiplied by 1 keeps its identity. (of number 1)
Step-by-step explanation:
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