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No, division is not commutative, because a/b does not necessarily equal b/a.

A simple proof by counter-example:

Assuming a = 10 and b = 5, we test the property of commutativity with:

10/5 = 2

5/10 = 0.5.

This is an example of division failing to be commutative. In general, for a/b to equal b/a, a must equal b. For all other pairs (a,b) the property fails.

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Q: Is division commutative

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Related questions

1

No, it does not.

No

division and subtraction

No!

Multiplication is commutative. a*b=b*a Division is not commutative Eg: 4/2=2 2/4=1/2 2 is not equal to 1/2

yes

Subtraction and division.

No.

Division and subtraction cannot be used with the commutative property.

No.

It doesnt exist

Subtraction, division

wedderburn's little theorem says all finite division rings are commutative so they are fields. So if it is a finite division ring, then the answer is NO But for an infinite division ring... I think you can!

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.

Addition and multiplication

No, it is not.

Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.

Commutative property in division Indeed I have the answer. One example would be: 8 divided by 4 = 2 is different from 4 divided by 8 = 0.5 This means that if you alter the order of the dividends, the result of the operation will change. That is why division is not a commutative property. not ha ha ha

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.

Subtraction, division, cross multiplication of vectors, multiplication of matrices, etc.

1 to the power of one divided equals 2 which is commutative

They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.

Formally, division is defined as multiplication of the inverse. For example, 4 / 2 is a short form for 4 * (2 ^ (-1)). So in general, a / b = a * (b ^ (-1)) and b / a = b * (a ^ (-1)), which suggests that a / b and b / a are not always equal (so division is not commutative).

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.