answersLogoWhite

0

Real Numbers are said to be closed under addition because when you add two Real Numbers together the result will always be a Real Number.

User Avatar

Wiki User

13y ago

What else can I help you with?

Related Questions

What is a example of Closure property of addition?

closure property is the sum or product of any two real numbers is also a real numbers.EXAMPLE,4 + 3 = 7 The sum is real number6 + 8 = 14add me in facebook.. lynnethurbina@yahoo.com =]


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.


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 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 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


Is addition a commutative?

Yes, addition is a commutative operation. This means that the order in which two numbers are added does not affect the sum; for example, (a + b = b + a) for any numbers (a) and (b). This property holds true for all real numbers.


Can commutative be solved by addition subtraction and multipication problems?

Commutativity is a property of some mathematical operations - such as addition or multiplication of real numbers, but not subtraction. It cannot be "solved".


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 is a definition for associative property of addition?

The property which states that for all real numbers a, b, and c, their sum is always the same, regardless of their grouping:(a + b) + c = a + (b + c)


What is it called when you add or multiply numbers in any order?

The property that allows you to add or multiply numbers in any order is called the commutative property. For addition, it states that (a + b = b + a), and for multiplication, it states that (a \times b = b \times a). This property holds true for all real numbers.


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.


Show that the set of all real numbers is a group with respect to addition?

Closure: The sum of two real numbers is always a real number. Associativity: If a,b ,c are real numbers, then (a+b)+c = a+(b+c) Identity: 0 is the identity element since 0+a=a and a+0=a for any real number a. Inverse: Every real number (a) has an additive inverse (-a) since a + (-a) = 0 Those are the four requirements for a group.