Lesson 1 8 Properties of Real Numbers Commutative

Lesson 1 -8 Properties of Real Numbers

Commutative Properties • Commutative Property of Addition • Commutative Property of Multiplication • • • Example: – • Commutative Property –

Associative Properties • Associative Property of Addition • Associative Property of Multiplication • • • Example: – – • Associative Property

Distributive Property • Distributive Property – Example: • Distributive Property Mr s La. m ma b’s cla th ss

Identity Properties • Identity Property of Addition – – le: Examp • Identity Property of Multiplication – – ple: Exam

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

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

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.

Citations • Power of Algebra, The: Basic Properties. Louisiana Public Broadcasting. 1989. unitedstreaming. 5 November 2006 <http: //www. unitedstreaming. com/>