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
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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:
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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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