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Properties of Addition

Properties of Addition. Goals: Understand the properties of additon and use them to solve equations with decimals. Vocabulary. Sum : the answer to an addition problem. Addend : any of the numbers added together in an addition problem.

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Properties of Addition

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  1. PropertiesofAddition

  2. Goals: Understand the properties of additon and use them to solve equations with decimals.

  3. Vocabulary • Sum: the answer to an addition problem. • Addend: any of the numbers added together in an addition problem. • Grouping: the order in which numbers are grouped together in a problem.

  4. Introducing… The Properties of Addition! Commutative Distributive Additive Identity Associative

  5. The Distributive Property of Addition • The sum of two numbers, multiplied by a third number, is equal to the sum of each addend times the third number. • For example: • 4 x (6 + 3) = 4x6 + 4x3

  6. The Commutative Property of Addition • When two numbers are added, the sum is the same regardless of the order of the addends. • For example: • 4 + 2 = 2 + 4

  7. The Associative Property of Addition • When three or more numbers are added, the sum is the same regardless of the grouping of the addends. • For example: • (2 + 3) + 4 = 2 + (3 + 4)

  8. The Additive Identity Property of Addition • The sum of any number and zero is the original number. • For example: • 5 + 0 = 5.

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