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Lesson 1-6 Pages 30-33 Algebra: Properties
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How to use addition and multiplication properties to solve problems.
What you will learn! How to use addition and multiplication properties to solve problems.
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Equivalent Expressions Properties
Vocabulary Equivalent Expressions Properties
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Commutative Property The order in which two numbers are added or multiplied does not change the answer!
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Commutative Property 3 + 7 = 7 + 3 3 x 7 = 7 x 3
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Associative Property The way in which three numbers are grouped when they are added or multiplied does not change the answer!
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Associative Property (2 + 5) + 8 = 2 + (5 + 8) (2 x 5) x 8 = 2 x (5 x 8)
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The sum of a addend and zero is the addend.
Identity Property The sum of a addend and zero is the addend. The product of a factor and one is the factor.
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Identity Property 4 + 0 = 4 9 x 1 = 9
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Distributive Property
To multiply a sum (or difference) by a number, multiply each addend by the number outside the parentheses.
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Distributive Property
3(4 + 8) = (3 x 4) + (3 x 8)
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What you really need to know!
The Big Question! Did the numbers move, or did the group change?
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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 = = 9 Identity Property of Multiplication 7 x 1 = x 6 =6 Distributive Property 3(4 + 6) = 3•4 + 3•6
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Word Bank: Lesson 1-6 Commutative Associative Identity Distributive
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Page 32 Guided Practice #’s 4-10
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Homework: Pages 32-33 #’s even, 32-40 even, 43-57
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Page 565 Lesson 1-6
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