Presentation on theme: "Properties of Real Numbers"— Presentation transcript:
1 Properties of Real Numbers Commutative Property of AdditionCommutative Property of MultiplicationAssociative Property of AdditionAssociative Property of MultiplicationAdditive Identity PropertyMultiplicative Identity PropertyAdditive Inverse PropertyMultiplicative Inverse PropertyDistributive PropertyZero Property
2 Subtraction is NOT Commutative Division is NOT Commutative Commutative Property of AdditionWhen two numbers are added, the order can be switched and the sum will still be the same.Subtraction is NOT CommutativeCommutative Property of MultiplicationWhen two numbers are multiplied, the order can be switched and the product will still be the same.Division is NOT Commutative
3 Subtraction is NOT Associative Division is NOT Associative Associative Property of AdditionWhen three or more numbers are added, any two or more can be grouped together and the sum will still be the same.Subtraction is NOT AssociativeAssociative Property of MultiplicationWhen three or more numbers are multiplied, any two or more can be grouped together and the product will still be the same.Division is NOT Associative
4 Additive Identity Property When zero is added to any number, the sum is the original number.Zero is the Identity Element of AdditionMultiplicative Identity PropertyWhen any number is multiplied by one, the product is the original number.One is the Identity Element of Multiplication
5 Additive Inverse Property When the opposite of a number is added to it the sum is zero.Zero is the Identity Element of AdditionMultiplicative Inverse PropertyWhen any number is multiplied by its reciprocal the product is one.One is the Identity Element of Multiplication
6 When any number is multiplied by zero the product is zero. Distributive PropertyAny number outside parenthesis can be distributed to the numbers inside the parenthesis.Zero PropertyWhen any number is multiplied by zero the product is zero.
7 Non-Zero Rational Numbers Binary OperationsIn a Binary Operation, two elements from a set are replaced by exactly one element from the same set.Property of ClosureA set is Closed under a binary operation when every pair of elements from the set, under the given operation, yields an element from that set.The following sets of numbers are closed under the indicated operation.DivisionAdditionSubtractionMultiplicationNatural NumbersNatural NumbersNon-Zero Rational NumbersIntegersWhole NumbersRational NumbersWhole NumbersIntegersReal NumbersIntegersNon-Zero Real NumbersRational NumbersRational NumbersReal NumbersReal Numbers