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One counterexample should be enough to disprove such an assumption. For example, 2 / 1 = 2, while 1 / 2 = 0.5. The two are not the same, ergo, the commutative property doesn't apply.Let's say that there is no statement or theorem in the sense that every operation is commutative; some are, some aren't.
By the way, you can convert any division into a multiplication - in which case it IS commutative. For example, 5 divided by 2 is the same as 5 times 1/2; the multiplication 5 times 1/2 is the same as 1/2 times 5.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIf the commutative property were applicable then for any two numbers, X and Y,X/Y = Y/X
which would imply X^2 = Y^2 and so X = +/-Y
thus there could be only two numbers.
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Does the commutative property work on division?
No, it does not.
Is 11 divided by 11 a commutative property?
1
Can division be used in the commutative property?
yes
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.
What operations dont work for commutative property?
Subtraction, division
Does the commutative property work on division?
No, it does not.
Is 11 divided by 11 a commutative property?
1
Which two operations can NOT be used with the commutative property?
Division and subtraction cannot be used with the commutative property.
What property is illustrated by this problem 7x8 equals 8x7?
The Abelian or commutative property of the multiplication of numbers. It is important that both "multiplication" and "numbers" feature in the answer. Because, it is applicable to multiplication but not, for example, for division. It is applicable for the multiplication on numbers but not matrices.
Can division be used in the commutative property?
yes
What operations dont work for commutative property?
Subtraction, division
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.
Can you give an example that shows that division is not a commutative property?
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
The Commutative Property does not work for which operations?
Addition and multiplication
Why is there no commutative property for subtraction or division?
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.
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
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.
