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Give an example showing that the commutative property does not hold for division of whole numbers?
Wiki User
∙ 14y ago
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
Wiki User
∙ 14y ago
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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.
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.
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 division of whole numbers is commutative?
No!
What is the commutative property in math?
The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.
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.
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
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.
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
What is the commutative property of addittion?
Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4
What is the deffinition of commutative?
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.
Is division of whole numbers is commutative?
No!
Is division of rational numbers commutative?
No
What property is shown by 8 times 2 equals 2 times 8?
This is called the commutative property of multiplication. Like addition, the order of the numbers does not matter: the product is the same.Compare this with subtraction and division which are not commutative.
What is the commutative property in math?
The commutative property of a binary operator states that the order of the operands does not affect the result. Thus x ^ y = y ^ x where ^ is the binary operator. Addition and multiplication of numbers are two common operators that are commutative. Subtraction and division are two common ones that are not commutative.
What is an example of commutative property?
commutative property is the order in which numbers are added does not change the sum.EX: 21+36+17=36+17+21 as you can see you can line up the numbers in any order and you can still get the same answer
