Lesson 1-6 Pages 30-33

Algebra:

Properties

Lesson Check 1-5

What you will learn!

How to use addition and multiplication properties to

solve problems.

Equivalent ExpressionsEquivalent Expressions

PropertiesProperties

Commutative Property

The order in which two numbers are added or

multiplied does not change the answer!

Commutative Property

3 + 7 = 7 + 3

3 x 7 = 7 x 3

Associative Property

The way in which three numbers are grouped

when they are added or multiplied does not change the answer!

Associative Property

(2 x 5) x 8 = 2 x (5 x 8)

(2 + 5) + 8 = 2 + (5 + 8)

Identity Property

The sum of a addend and zero is the addend.

The product of a factor and one is the factor.

Identity Property

4 + 0 = 49 x 1 = 9

Distributive Property

To multiply a sum (or difference) by a number, multiply each addend by the number outside the

parentheses.

Distributive Property

3(4 + 8) = (3 x 4) + (3 x 8)

What you really need to know!

The Big Question!

Did the numbers move, or did the group change?

Commutative Property of Commutative Property of AdditionAddition

2 + 3 = 3 + 22 + 3 = 3 + 2

Commutative Property of Commutative Property of MultiplicationMultiplication

2 x 3 = 3 x 22 x 3 = 3 x 2

Associative Property of Associative Property of AdditionAddition

(5 + 8) + 2 = 5 + (8 + 2)(5 + 8) + 2 = 5 + (8 + 2)

Associative Property of Associative Property of MultiplicationMultiplication

(4 x 6) x 3 = 4 x (6 x 3)(4 x 6) x 3 = 4 x (6 x 3)

Identity Property of AdditionIdentity Property of Addition 5 + 0 = 5 0 + 9 = 95 + 0 = 5 0 + 9 = 9

Identity Property of Identity Property of MultiplicationMultiplication

7 x 1 = 7 1 x 6 =67 x 1 = 7 1 x 6 =6

Distributive PropertyDistributive Property 3(4 + 6) = 33(4 + 6) = 3•4 + 3•6•4 + 3•6

Word Bank: Lesson 1-6Word Bank: Lesson 1-6

CommutativeCommutative

AssociativeAssociative

IdentityIdentity

DistributiveDistributive

Example 1

Name the property shown by each statement.

24 + 5 = 5 + 24

Commutative +

Example 2

Name the property shown by each statement.

(11 x 4) x 8 = 11 x (4 x 8)

Associative x

Example 3

Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.

8(5 + 7)

8•5 + 8•7 ; 96

Example 4

Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.

(2 + 9)6

2•6 + 9•6 ; 66

Example 5

Mr. Harmon has budgeted $150 per day for his hotel and meals during his vacation. If he plans to spend six days on vacation, how much will he spend?

6 x 150 ; $900

Example 6

Name the property shown by each statement.

7 = 1 x 7

Identity x

Example 7

Name the property shown by each statement.

7 + 0 = 7

Identity +

Page 32

Guided Practice

#’s 4-10Link to Pre-Made Lesson

Pages 30-31 with someone at home

and study examples!

Read:

Homework: Pages 32-33

#’s 12-26 even,

32-40 even, 43-57

Lesson Check 1-6

Page

565

Lesson 1-6

Lesson Check 1-6