 # Lesson 1-6 Pages 30-33 Algebra: Properties Lesson Check 1-5.

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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 Expressions Properties

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 = 4 9 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 Addition 2 + 3 = 3 + 2 Commutative Property of Multiplication 2 x 3 = 3 x 2 Associative Property of Addition (5 + 8) + 2 = 5 + (8 + 2) Associative Property of Multiplication (4 x 6) x 3 = 4 x (6 x 3) Identity Property of Addition 5 + 0 = 5 0 + 9 = 9 Identity Property of Multiplication 7 x 1 = 7 1 x 6 =6 Distributive Property 3(4 + 6) = 34 + 36

Word Bank: Lesson 1-6 CommutativeAssociativeIdentityDistributive

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) 85 + 87 ; 96

Example 4 Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression. (2 + 9)6 26 + 96 ; 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 +

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