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Lesson 1-8 Properties of Real Numbers Commutative Properties Commutative Property of Addition Example: Commutative PropertyCommutative Property Commutative.

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Presentation on theme: "Lesson 1-8 Properties of Real Numbers Commutative Properties Commutative Property of Addition Example: Commutative PropertyCommutative Property Commutative."— Presentation transcript:

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2 Lesson 1-8 Properties of Real Numbers

3 Commutative Properties Commutative Property of Addition Example: Commutative PropertyCommutative Property Commutative Property of Multiplication Example:

4 Associative Properties Associative Property of Addition Example: Associative Property of Multiplication Example: Associative PropertyAssociative Property

5 Distributive Property – Example: Distributive Property Mrs. Lamb’s math class

6 Identity Properties Identity Property of Addition – Example: Identity Property of Multiplication – Example:

7 Inverse Properties Inverse Property of Addition –For every a, there is an additive inverse –a such that a + (-a) = 0 –Example: 5 + (-5) = 0 Inverse Property of Multiplication –For every a ( ), there is a multiplicative inverse such that Example:

8 Properties of Real Numbers Example – Identifying Properties –Name the property that each equation illustrates. Explain. 9 + 7 = 7 + 9 t + 0 = t –(q + 3)= -q - 3

9 Properties of Real Numbers Answers: –Commutative Property of Addition, because the order of the addends changes. –Associative Property of Multiplication, because the grouping of the factors changes. –Identity Property of Addition, because the sum of a number and zero is the number. –Distributive Property, because you are finding the area.

10 Citations Power of Algebra, The: Basic Properties. Louisiana Public Broadcasting. 1989. unitedstreaming. 5 November 2006


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