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Answered 2014-05-06 13:01:30

All real numbers are commutative under addition and multiplication.

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What is commutative property of addition using decimal numbers?

The commutative property of addition applies to all real and complex numbers. It has nothing whatsoever to do with the form in which the number is represented: decimal, binary, etc.


How does the commutative property describe the real numbers?

For the set of real numbers, R, a binary operation is a function from R X R into R, where R X R is the x-y plane. A binary operation is commutative if the value returned by the operation is the same regardless of the order of the operands. For real numbers the two most basic commutative binary operations are addition and multiplication and they can be expressed in the following way:If a and b are any two real numbers then a + b = b + a (addition is commutative) and ab = ba ( multiplication is commutative).


What do you mean that an operation is commutative?

It means that when you exchange the two operands, the result doesn't change. Example 1: For any two real numbers, a + b = b + a. In the real numbes, addition is commutative. Example 2: For any two real numbers, ab = ba. In the real numbers, multiplication is commutative. Example 3: For square matrixes, AB is not the same as BA. Multiplication of matrixes is NOT commutative. Example 4: For vectors, a x b = - b x a. The cross product of vectors is NOT commutative.


Why are the set of real numbers is not commuted under subtraction and addition?

Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.


What are the principle or properties of real number under addition and multiplication?

There are four properties of a real number under addition and multiplication. These properties are used to aid in solving algebraic problems. They are Commutative, Associative, Distributive and Identity.


What does cummutative property mean?

The positive of real numbers,which is commutative


Does commutative property works for an operation?

It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.


Is multiplication of a whole number associative?

Yes. Multiplication of integers, of rational numbers, of real numbers, and even of complex numbers, is both commutative and associative.



What is the property of a and b are real numbers then a plus b b plus a?

It is the commutative property of addition of real numbers.



Why doesn't the commutative property work for subtraction?

you can not use commutative property for subtraction because if you switch them around you will end up with a negative number.


How does knowing the commutative property cut the number of facts to be learned in half?

The above is only partially true since not all mathematical operations are commutative. For example, subtraction is not commutative (though addition using negative numbers is). Where an operaton is commutative it does halve the number of facts to be learned. For example, when you have learned 2+3 = 5, you do not need to learn 3+2.


Is x-1 equal to 1-x?

No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative.


Does the commutative property of addition apply when you add to negative integers?

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5




What does to increase number mean?

It mean like Commutative Property of Addition



What is commutative disease?

commutative disease


Does commutative property work for fractions?

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers


What property of addition states that the order in which two real numbers are added does not affect the sum?

That is the commutative property. Formally, A + B = B + A. The word "commutative" comes from a root meaning "to move around."


Subtracion of a whole number is communative?

Who knows - there appears to be no such word as communative! So maybe it is communative and maybe it is not.If, however, you meant commutative which, is a mathematical term, then the answer is no, subtraction is not commutative.


What is the definition of the Commutative Property?

It means that in certain mathematical operations, you can turn around the order of the numbers without changing the result. Examples:3 + 4 = 4 + 3 (addition of real numbers is commutative)4 x 7 = 7 x 4 (multiplication of real numbers is commutative)3 - 1 is not the same as 1 - 3 (subtraction is not commutative)2 / 1 is not the same as 1 / 2 (division is not commutative)For vectors, A x B = - B x A (not commutative; however, the vector cross product is anticommutative).To help remember this property, think of the word commuteor commuter (like when somebody moves from one place to another, like from home to work).


Order properties of real numbers?

The standard properties of equality involving real numbers are:Reflexive property: For each real number a,a = aSymmetric property: For each real number a, for each real number b,if a = b, then b = aTransitive property: For each real number a, for each real number b, for each real number c,if a = b and b = c, then a = cThe operation of addition and multiplication are of particular importance. Also, the properties concerning these operations are important. They are:Closure property of addition: For every real number a, for every real number b,a + b is a real number.Closure property of multiplication: For every real number a, for every real number b,ab is a real number.Commutative property of addition:For every real number a, for every real number b,a + b = b + aCommutative property of multiplication:For every real number a, for every real number b,ab = baAssociative property of addition: For every real number a, for every real number b, for every real number c,(a + b) + c = a + (b + c)Associative property of multiplication: For every real number a, for every real number b, for every real number c,(ab)c = a(bc)Identity property of addition: For every real number a,a + 0 = 0 + a = aIdentity property of multiplication: For every real number a,a x 1 = 1 x a = aInverse property of addition: For every real number a, there is a real number -a such thata + -a = -a + a = 0Inverse property of multiplication: For every real number a, a ≠ 0, there is a real number a^-1 such thata x a^-1 = a^-1 x a = 1Distributive property: For every real number a, for every real number b, for every real number c,a(b + c) = ab + bcThe operation of subtraction and division are also important, but they are less important than addition and multiplication.Definitions for the operation of subtraction and division:For every real number a, for every real number b, for every real number c,a - b = c if and only if b + c = aFor every real number a, for every real number b, for every real number c,a ÷ b = c if and only if c is the unique real number such that bc = aThe definition of subtraction eliminates division by 0.For example, 2 ÷ 0 is undefined, also 0 ÷ 0 is undefined, but 0 ÷ 2 = 0It is possible to perform subtraction first converting a subtraction statement to an additionstatement:For every real number a, for every real number b,a - b = a + (-b)In similar way, every division statement can be converted to a multiplication statement:a ÷ b = a x b^-1.


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