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commutative property states that

if the places of numbers is changed , then there will be no change in the result.

like

3+4=4+3

7 = 7

and

3*4 = 4*3

12 = 12

hence by the example it has proved that there is no change before and after changing the positions of numbers under same operation.

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Q: What is the property that states the order of numbers can be changed in an addition or multiplication problem?
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Related questions

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).


When the numbers in the parenthesis switch what is the property?

The property being described is the Commutative Property. This property states that the order of elements can be changed without affecting the result in certain operations, such as addition and multiplication.


Can the commutative property have three numbers involved?

Addition and multiplication: yes


When you change the order of numbers what is it called?

That is the commutative property of either multiplication or addition.


What is the distributive property in addition?

The distributive property OF MULTIPLICATION over addition is a*(b + c) = a*b + a*c for any numbers a, b and c.


What is a distributive property of multiplication?

The distributive property of multiplication OVER addition (or subtraction) states that a*(b + c) = a*b + a*c Thus, multiplication can be "distributed" over the numbers that are inside the brackets.


Can you do distributive property on the number 20?

No. The distributive property applies to two operations (usually multiplication and addition), NOT to numbers.


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.


What signs go with only the associative property?

The answer cannot be addition of numbers because that sign can also go with the commutative property, not "only the associative property" as required by the question. For the same reason, the answer cannot be multiplication of numbers. Also, in both cases, multiplication is distributive over addition.


Can mixed numbers be multiplied?

Yes. The distributive property of multiplication over addition may help.


What property shows that numbers can be regrouped when being added or multiplied without changing their value?

The commutative property of addition and the commutative property of multiplication.


What property states that the order of two numbers in an addition or multiplication problem can be changing the result of the problem?

That is non-commutativity. Matrix multiplication is non-commutative although addition still is.