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Properties of Addition - PowerPoint PPT Presentation


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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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Presentation Transcript
vocabulary
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.
introducing the properties of addition
Introducing… The Properties of Addition!

Commutative

Distributive

Additive Identity

Associative

the distributive property of addition
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
the commutative property of addition
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
the associative property of addition
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)
the additive identity property of addition
The Additive Identity Property of Addition
  • The sum of any number and zero is the original number.
  • For example:
    • 5 + 0 = 5.