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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.
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∙ 2015-07-11 10:24:29
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What are similarities on subtraction and multiplication?
They are binary operations.
How is the additive inverse important?
It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.
What are the rules governing of real numbers?
There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.
What are the five integer rules?
I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.
Closure Property for Addition?
amaw
How can closure help understand the type of solution you might expect with operations?
If a set has closure with regards to certain operations then any solution that is obtained using those operations must belong to that set.
How do you perform arithmetic operations on binary numbers?
There are a few rules to perform arithmetic operations in binary numbers. According to those rules you can add or subtract binary numbers. There are only two arithmetic operations used in binary numbers, they are addition and subtraction.
Roles of computer in binary operations?
maths
What are similarities on subtraction and multiplication?
They are binary operations.
Why is zero important in a set of integers?
It provides closure under the binary operation of addition.
What is the commutative property of a fact?
Commutativity is a property of binary operations. A fact is not a binary operator.
Addition and subtraction are example of what?
Binary arithmetic operations.
Divide times add subtract are called what?
Operations, or more precisely, binary mathematical operations
What are the applications of binary counters?
Binary counters are used in simple timing operations. They can generate clock signals among many other less than complex operations.
Write a program of binary heap in c or c language?
to implement operations on binary heap in c
What is Closure Property for multiplication?
The closure property is an attribute of a set with respect to a binary operation, not only a binary operation. A set S is closed with respect to multiplication if, for any two elements, x and y, belonging to S, x*y also belongs to S.
Can digital computers perform logical operations?
It already has; binary.
