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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).
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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.
What does cummutative property mean?
The positive of real numbers,which is 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
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 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.
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.
A property of real numbers that states that the sum or product of a set of numbers or variables has the same value regardless fo how the numbers or variables are grouped?
This is called the "commutative" property.
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."
How do write a definition and give an example of the commutative property of addition using decimal numbers?
The commutative property states that given any two numbers, x and y,x + y = y + xThe property applies to all real numbers and complex numbers as well.2.3 + 4.5 = 6.8 = 4.5 + 2.3
Which real number is not commutative?
All real numbers are commutative under addition and multiplication.
What are commutative propertyassociative property and closure propety?
Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.
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.
