Answer:
a.commutative property
b.associative property
c.closure property
d.identity property
e.distributive property
f.inverse property
Step-by-step explanation:
a.In mathematics, commutative law refers to either of two rules relating to addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
b.In mathematics, the associative property is a property of some binary operations. It means that rearranging the parentheses in an expression will not change the result. In propositional logic, it is a valid rule of replacement for expressions in logical proofs.
c.Closure property states that when a set of numbers is closed under any arithmetic operation such as addition, subtraction, multiplication, and division and is performed on any two numbers of the set with the answer being another number from the set itself. This property is applicable for real numbers, whole numbers, integers, and rational numbers.There have a 3 type of closure property,CLOSURE PROPERTY OF ADDITION,CLOSURE PROPERTY OF MULTIPLICATION,and CLOSURE PROPERTY OF SUBTRACTION.
d.Identity property
An identity element is a number that, when used in an operation with another number, results in the same number.An identity property has a2 properties,IDENTITY PROPERTY OF ADDITION and IDENTITY PROPERTY OF MULTIPLICATION.
e.Distributive property
The distributive property, also referred to as the distributive law, is a property of real numbers that states that multiplication distributes over addition. This means that multiplying by a group of numbers being added together is the same as multiplying each of the numbers in the group separately, then adding the products together.
f.Inverse
An inverse operation are two operations, each of which "undoes" the other. In mathematics, the term inverse can generally be thought of as some kind of negation. The term inverse comes from the latin inversus which means "turned upside down" or "overturned."
One of the first types of inverses that students typically encounter involve the basic arithmetic operations: addition, subtraction, multiplication, and division.
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