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What are the fundamental operations of integers?
I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.
Which operations on integers are commutative?
Addition and multiplication are operations on integers that are commutative.
How are Integers combined?
All numbers - integers as well as non-integers - are combined using different mathematical operations. Some operators are binary: that is, they combine two numbers to produce a third; some are ternary (combine 3 to produce a fourth) and so on.The set of integers is closed under some operations: common examples are addition, subtraction, multiplication, exponentiation. But not all operators are: division, for example.
What is the rule of addition of integers?
negetive integers are not closed under addition but positive integers are.
Are positive integers closed for multipication?
No, but they are closed for multiplication.
What are the fundamental operations of integers?
I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.
What does it mean if an integer is closed?
You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).
Which operations on integers are commutative?
Addition and multiplication are operations on integers that are commutative.
How are Integers combined?
All numbers - integers as well as non-integers - are combined using different mathematical operations. Some operators are binary: that is, they combine two numbers to produce a third; some are ternary (combine 3 to produce a fourth) and so on.The set of integers is closed under some operations: common examples are addition, subtraction, multiplication, exponentiation. But not all operators are: division, for example.
Is the collection of integers closed under subraction?
Yes, the set of integers is closed under subtraction.
What is the rule of addition of integers?
negetive integers are not closed under addition but positive integers are.
Are positive integers closed for multipication?
No, but they are closed for multiplication.
What binary operations have closure?
Closure depends on the set as much as it depends on the operation.For example, subtraction is closed for all integers but not for natural numbers. Division by a non-zero number is closed for the rational numbers but not integers.The set {1, 2, 3} is not closed under addition.
Why are odd integers closed under multiplication but not under addition?
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
What is integers and order of operations?
Part 2
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Is set of integers is a field?
The set of integers is not closed under multiplication and so is not a field.
