Question

Could you please explain these 4 properties in math for me?
A. Commutative
B. Closure
C. Associative
D. Distributive

Answer 1

• involving the condition that a group of quantities connected by operators gives the same result whatever the order of the quantities involved, e.g. a × b = b × a.

• In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers

• The associative property in math is the property of numbers that states the sum or the product of three or more numbers will not change in whatever sequence numbers are grouped. In other words, if we add or multiply three or more numbers we will obtain the same answer irrespective of the order of parentheses.

• In mathematics, the distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always For example, one has One says that multiplication distributes over addition.

Answer 2

A. Commutative property

In this property if a×b=c then b×a=c

B. Closure property

In this property a×b is an integer, for all integers a and b.

Integers are closed under multiplication.

C. Associative property

In this property (a×b)×c=a×(b×c).

The product of three integers does not depend upon the grouping of integers.

D. Distributive property

In this property a×(b±c)= (a×b)±(a×c).

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