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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 3x7=7x3 Associative Property The way in which three numbers are grouped when they are added or multiplied does not change the answer! Associative Property (2 + 5) + 8 = 2 + (5 + 8) (2 x 5) x 8 = 2 x (5 x 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 9x1=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 2x3=3x2 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 7x1=7 1 x 6 =6 Distributive Property 3(4 + 6) = 3•4 + 3•6 Word Bank: Lesson 1-6 Commutative Associative Identity Distributive Example 1 Commutative + Name the property shown by each statement. 24 + 5 = 5 + 24 Example 2 Associative x Name the property shown by each statement. (11 x 4) x 8 = 11 x (4 x 8) Example 3 8•5 + 8•7 ; 96 Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression. 8(5 + 7) Example 4 2•6 + 9•6 ; 66 Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression. (2 + 9)6 Example 5 6 x 150 ; $900 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? Example 6 Identity x Name the property shown by each statement. 7=1x7 Example 7 Identity + Name the property shown by each statement. 7+0=7 Page 32 Guided Practice #’s 4-10 Link to Pre-Made Lesson Read: Pages 30-31 with someone at home and study examples! 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