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Yes, it applies to even multiplication of fractions and rational and Irrational Numbers.

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โˆ™ 2012-12-22 09:07:21
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Q: Does the Commutative Property apply to addition of fractions?
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Related questions

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

Yes, it does.

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.

Does commutative property apply to subtraction?


Is there a commutative property of division?

There is no commutative property of division. Commutative means to exchange places of numbers. If you exchange the place of numbers in a division problem, you would affect the answer. So, commutative property applies only to addition or multiplication.Not really; for example, 2/1 = 2, and 1/2 = 0.5. However, you can convert any division into a multiplication, and apply the commutative property of multiplication. For example, 6 / 3 = 6 x (1/2), which is the same as (1/2) x 6.

How do you add fractions in matrices?

The usual rules of addition of fractions apply.

Does associative property apply to division?

The associative property does not apply to division but multiplication and addition do.

Does the commutative property with for division?

No. For example, 2 / 1 is not the same as 1 / 2. However, you can convert any division into a multiplication, and apply the commutative law to the multiplication. For example, 5 divided by 3 is the same as 5 multipled by (1/3). By the commutative property, this, in turn, is the same as (1/3) multiplied by 5.

What is the distributive property the commutative property the associate property and the identity property?

The COMMUTATIVE property states that the order of the arguments of an operation does not matter. In symbolic terms, for elements a and b and for the operation ~, a ~ b = b ~ a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, for elements a, b and c, (a ~ b) ~ c = a ~ (b ~ c) and so, without ambiguity, either can be written as a ~ b ~ c. The DISTRIBUTIVE property is a property of two operations, for example, of multiplication over addition. It is not the property of a single operation. For operations ~ and # and elements a, b and c, symbolically, this means that a ~ (b # c) = a ~ b # a ~ c. The existence of an IDENTITY is a property of the set over which the operation ~ is defined; not a property of operation itself. Symbolically, if the identity exists, it is a unique element, denoted by i, such that a ~ i = a = i ~ a for all a in the set. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned. I have deliberately chosen ~ and # to represent the operations rather than addition or multiplication because there are circumstances in which these properties do not apply to multiplication (for example for matrices), and there are many other operations that they can apply to.

What does the commutative property apply to?

It applies to numbers and says that a number can be added and multiplied in any order. Example- 4x3=3x4.

Give an example showing that the commutative property does not hold for division of whole numbers?

Here is an example: 4/2 = 2 Commutative property is when you can move numbers around in a problem, and it wouldn't change. This is why it doesn't work in division 2/4 = 1/2 The commutative property applies to only addition and multiplication. It does not apply to division or subtraction. More examples: Addition: 2 + 3 = 3 + 2 = 5 Subtraction: 2 - 3 = -1, 3 - 2 = 1 Division: (see above) Multiplication: 3(5) = 5(3) = 15

What operations can assotiative communative and distributive apply to?

Associative works for addition and multiplication. Commutative works for addition and multiplication Distributive works for addition, multiplication and subtraction as well as some combinations of them, but not for division. Nothing works for division.

Does commutative law apply in the operation of sets?

Both union and intersection are commutative, as well as associative.

Does the comunitive property of addition apply when you add two negative integers?

Communitive means of, or belonging to, a community. No numbers has this property.

Does vector subtraction commutes?

Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.A + B = B + ASubtraction is the inverse of addition: A - B = A + (-B), where (-B) is the opposite vector to (B).A - B is not usually the same as B - A. Therefore, it is not commutative.However, if you convert it to an addition, you can apply the commutative law: A + (-B) = (-B) + A.

What are 5 properties of addition that apply to rational numbers?

The set of rational number satisfies the following properties with regard to addition: for any three rational numbers x, y and z, · x + y is a rational number (closure under addition) · (x + y) + z = x + (y + z) (associative property of addition) · There is a rational number, 0, such that x + 0 = 0 + x = x (existence of additive identity) · There is a rational number, -x, such that x + (-x) = (-x) + x = 0 (existence of additive inverse) · x + y = y + x (Abelian or commutative property of addition)

Are there Exceptions to the commutative property?

The commutative property works for adding and multiplying e.g. 2+4=4+2 and 3x4=4x3. But it doesn't work for subtraction and division so 5-3≠3-5 and 6÷2≠2÷6 so subtraction and division could be considered as exceptions.

What is the distributive property of 18 plus 24?

The distributive property does not apply to addition by itself. So, unfortunately, the question does not make sense.

What is the distributive property for 79.45?

The distributive property is applicably to the operation of multiplication over either addition or subtraction of numbers. It does not apply to single numbers.

Do the commutative and associative laws apply to vector subtraction?


How are the properties of multiplication and addition similar?

Mainly that in both cases, the numbers can be changed, in any order. This is related to the commucative property, as well as the associative property, which apply to both. - Also, in both cases there is a neutral element (0 for addition, 1 for multiplication).

Does the commutative prop of add apply when you add two negative integers?

Yes, it does.

Does the subtraction of two vectors obey the commutative law?

Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule

What else Could you call the least common multiple in addition or subtraction problem involving fractions?

If you apply it to the denominators, you could call it the least common denominator.

Does distributive property apply to complex numbers?

Yes, for example (a + bi)(c + di) = ac + adi + bic + bidi, and commutative property works as well --> ac + adi + bci + bdi² --> ac + (ad + bc)i + bd(-1) = (ac - bd) + (ad + bc)i