AND NOT THIS KIND OF EXPRESSION….. Section 1-2 Simplifying Expressions.

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Presentation transcript:

AND NOT THIS KIND OF EXPRESSION….. Section 1-2 Simplifying Expressions

How many words do you know the meaning of???? Numerical Expression - Value Equation Inequality symbol Inequality Sum Difference Product Quotient Power, base, exponent Grouping symbols Variable Values Algebraic expression

2.Kinds of Numbers 0 natural numbers 0 whole numbers 0 integers

2.Kinds of Numbers rational numbers 3

2.Kinds of Numbers irrational numbers 3

#10#9 whole What kind of number is most useful to describe: the number of siblings a person has True or false: Every rational number is also an integer. If false, give a counterexample.

#11#10 True or false: Every rational number is also an integer. If false, give a counterexample. True or false: Every whole number is also a natural number. If false, give a counterexample. false

#12#11 True or false: Every whole number is also a natural number. If false, give a counterexample. True or false: Every natural number is also a rational number. If false, give a counterexample. false

#13#12 True or false: Every natural number is also a rational number. If false, give a counterexample. True or false: Every negative number is also an integer. If false, give a counterexample. true

#13 True or false: Every negative number is also an integer. If false, give a counterexample. true

Properties of Equality Reflexive Symmetric Transitive Addition Multiplication

3.Properties Distributive Property ab + aca(b + c)= do some distributive property examples here

3.Properties Commutative Property of Addition =7 + 6

3.Properties Commutative Property of Addition =

3.Properties Commutative Property of Multiplication

3.Properties Associative Property of Addition

3.Properties Associative Property of Addition (6 + 3) + 5

3.Properties Associative Property of Addition 6 + (3 + 5)

3.Properties Associative Property of Multiplication

3.Properties Identity Property of Addition 5 + = 5

3.Properties Identity Property of Multiplication 5 = 5

3.Properties Inverse Property of Addition 7 + = 0

3.Properties Inverse Property of Multiplication 7 = 1

3.Properties Inverse Property of Addition 7+ = 0

3.Properties Inverse Property of Multiplication 5 = 1

Closure Properties A+B and AB are unique real numbers. Ex: The sum of 12 and 6 is the real number 18 and the product of 12 and 6 is the real number 72.

4.Classwork

4.Classwork 1.Is subtraction commutative? 2.Is subtraction associative? 3.Is division commutative? 4.Is division associative? 5. Simplify each expression: (justify each step) 3(15x - 9y)+5(4y – x) ¼ (6 + 20y) – ½ (19 – 8y)

For practice, please complete the following homework Sections 1.1 and 1.2) I will hand out the assignment guide to you. It is due the next time I see you! Good luck and good job today. parking/ parking/

What is a star “*” operation?