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Subtraction and addition are not properties of numbers themselves: they are operators that can be defined on sets of numbers.

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โˆ™ 2013-06-15 09:57:19
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Q: Why is it subtraction and division are not included in the properties of each numbers?
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Related questions

Is closure exist for whole numbers under subtraction and division for integers?

Whole numbers subtraction: YesDivision integers: No.


Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.


Why is there no commutative property for subtraction or division-?

There is no commutative property in subtraction or division because the order of the numbers cannot be change. This means that when multiplying or adding it does not matter the order of the numbers because the answer comes out the same.


Why isn't subtraction included as an operation on real numbers?

Subtraction is definitely an operation defined on real numbers. I'm guessing you are actually asking why subtraction is not included as a commutative operation, this is because a-b is not always equal to b-a.


How is addition and subtraction different from multiplication and division?

For the specific case of whole numbers, you can consider multiplication to be repeated addition; and division to be repeated subtraction (see how often you can subtract something).


Can the operation subtraction have properties?

Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.Multiplication is distributive over subtraction.


What is the operations of integers?

They are whole numbers used in division, multiplication, addition and subtraction.


What are the mathematical operations to be used involving numbers?

They are addition, subtraction, division and multiplication


Performing of operations on series of numbers?

An operation on a series of numbers is when you use amongst others addition, subtraction, multiplication and division. Mathematics decided the order of operations is to work out the sums in the brackets first, then exponents, then multiplications and division and finally addition and subtraction.


Order of operations-directed numbers?

parentheses, exponents, multiplication, division, addition, and subtraction.


What are addition subtraction multiplication and division?

addition means when you add two or more numbers together.+ subtraction means you subtract two or more numbers together.- multiplication means when you mutiply two one, or more digit numbers together.x division means when you divide two numbers together./


Are rational numbers are closed under addition subtraction multiplication and division?

They are closed under all except that division by zero is not defined.


What 2 numbers 17?

The answer depends on the operation that you are thinking of: addition, subtraction, multiplication, division, etc.


Why change mixed numbers to improper fractions?

For addition, subtraction, division and multiplication with other fractions


Are rational numbers closed under subtraction?

Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.


What is the same between whole numbers and decimals?

They are all numbers and obey the same rules for addition, subtraction, multiplication, division, exponentiation etc.


What is arithmetic?

Arithmetic is the process of applying the four basic operations: addition, subtraction, multiplication and division to numbers.


Are rational numbers are closed under addition subtraction division or multiplication?

The set of rational numbers is closed under all 4 basic operations.


What are the numbers in division mutliplication addition subtraction?

You can have counting number in multiplication and addition. All integers are in multiplication, addition and subtraction. All rational numbers are in all four. Real numbers, complex numbers and other larger sets are consistent with the four operations.


Give ten examples of natural number are closed under subtraction and division?

You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.


What are the factors of addition?

"Factor" is normally applied to multiplication and division, not addition and subtraction, but the analogues in addition would be the numbers being added.


What are the properties of number?

Different sets of numbers have different properties. For example,The set of counting numbers is closed under addition but not under subtraction.The set of integers is closed under addition, subtraction and multiplication but not under division.Rational numbers are closed under all four basic operations of arithmetic, but not for square roots.A set S is "closed" with respect to operation # if whenever x and y are any two elements of S, then x#y is also in S. y = 0 is excluded for division.So, the answer depends on what you mean by "number".


Is the sum of rational numbers always rational?

Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.


Is the set of real numbers closed under addition?

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.


What are the laws of sign numbers?

first,addition;add all,subtraction;subtract all;multiplication;multiply all,division;divide all