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Properties: are statements that are true for all numbers.

Algebra: Properties Objective: Use communicative, Associative, Identity, and Distributives properties to solve problems . . Properties: are statements that are true for all numbers. We will learn about the following properties: Distributive Property Commutative Property

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Properties: are statements that are true for all numbers.

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  1. Algebra: PropertiesObjective: Use communicative, Associative, Identity, and Distributives properties to solve problems. Properties: are statements that are true for all numbers. We will learn about the following properties: Distributive Property Commutative Property Associative Property Identity Properties

  2. Distributive Property: • Combines addition and multiplication. • You have to multiply each addend of the sum by the number outside the parenthesis. • Example: 3( 4 + 6 ) = 3(4) + 3(6) 12 + 18 30

  3. Examples: 6(1 + 4) = 5(3 - 2) =

  4. Commutative Properties: • The order in which two numbers are added or multiplied does not change their sum or product. For example: 4 + 3 = 3 + 4 7 = 7 5 × 3 = 3 × 5 15 = 15

  5. Associative Properties: • The way in which three numbers are grouped when they are added or multiplied does not change their sum or product (answers). Example: ( 8+ 27) + 52 = 8 + (27 + 52) 87 = 87 5× ( 3 × 8) = (5 × 3) × 8 120 = 120

  6. Identity Properties: • The sum of an addend and 0 is the addend. For example: 8 + 0 = 8 • The product of a factor and 1 is the factor. For example: 7 × 1 = 7

  7. Homework: Name the property shown by each statement. 2 × (3 × 7) = ( 2 × 3) × 7 6 + 3 = 3 + 6 3( 9 + 7) = 3(9) + 3(7) 8 × 1 = 8 X + 0 = X Use the distributive Property to evaluate each expression. • 3( 5 + 1) = 2. (2 + 7)5 = 3. (10 + 2)7 = 4. 2( 9 – 8) = 5. 4( 10 – 2) =

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