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Commutative Property Of Addition Worksheets

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					  Commutative Property Of Addition Worksheets
Commutative Property Of Addition Worksheets

In this unit we are going to learn about commutative Property. By commutative property
worksheets available on line can help you to understand more clearly about the commutative
property.

The word commutative property is used as one of the property of numbers, by which we mean
that if a, b are any natural numbers then commutative property of addition holds true for the
natural numbers. It means that a + b = b + a

 Also the commutative property holds true for the multiplication of natural numbers, which
means that if a and b are the natural numbers, then we have

A*b =b*a

 On another side if the same property is checked for the subtraction and division of the natural
numbers, and observe that it does not holds true, it means that a – b <> b – a

And a / b <> b / a

                           Know More About Rational Numbers On Number Line


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Now let us check the existence of commutative property for fraction numbers. By commutative
property we mean that if a/b, c/d are any two fraction numbers then commutative property of
addition holds true for the natural numbers. It means that a/b + c/d = c/d + a/b

 Also the commutative property holds true for the multiplication of fraction numbers, which
means that if a and b are the fraction numbers, then we have

a/b * c/d = c/d * a/b

 On another side if the same property is checked for the subtraction and division of the fraction
numbers, it does not holds true, it means that a/b - c/d <> c/d - a/b

And a/b divided by c/d <> c/d divided by a/b

Now let us check the existence of commutative property for integer numbers.

by which we mean that if a, b are any integer numbers then commutative property of addition
holds true for the integer numbers. It means that a + b = b + a

 Also the commutative property holds true for the multiplication of integer numbers, which
means that if a and b are the integer numbers, then we have

A*b =b*a

 On another side if the same property is checked for the subtraction and division of the integer
numbers, we observe that it does not holds true for subtraction and division, it means that a –
b <> b – a

And a / b <> b / a

If we look into the rational numbers, the status of commutative property for the rational
numbers is as follows:
                                Read  More About Rational Numbers As Exponents


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By commutative property we mean that if a/b, c/d are any two rational numbers then
commutative property of addition holds true for the rational numbers. It means that a/b + c/d =
c/d + a/b

Also the commutative property holds true for the multiplication of rational numbers, which
means that if a/b and c/d are the rational numbers, then we have

a/b * c/d = c/d * a/b

On another side if the same property is checked for the subtraction and division of the rational
numbers, it does not holds true, it means that a/b - c/d <> c/d - a/b

And a/b divided by c/d <> c/d divided by a/b




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   Thank You




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posted:5/21/2012
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