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Repeating Decimals. Repeating decimals are decimals that contain a infinite number of digits. Examples: 0.333… 7.689689…. Non Repeating Decimals. Non repeating decimals are decimals that either end or carry on forever in a random way. Examples: 0.3297680486… 2.7.

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repeating decimals
Repeating Decimals
  • Repeating decimals are decimals that contain a infinite number of digits.
  • Examples:
    • 0.333…
    • 7.689689…
non repeating decimals
Non Repeating Decimals
  • Non repeating decimals are decimals that either end or carry on forever in a random way.
  • Examples:
    • 0.3297680486…
    • 2.7
commutative properties
Commutative Property of Addition

Example:

Commutative Property

Commutative Property of Multiplication

Example:

Commutative Properties
associative properties
Associative Property of Addition

Example:

Associative Property of Multiplication

Example:

Associative Properties
distributive property
Distributive Property
  • Distributive Property

Example:

Example:

  • Distributive Property

Mrs. de Nobrega’s math class

identity properties
Identity Property of Addition

Example:

Identity Property of Multiplication

Example:

Identity Properties
inverse properties
Inverse Property of Addition (Opposite)

For every a, there is an additive inverse –a such that a + (-a) = 0

Example:

5 + (-5) = 0

Inverse Property of Multiplication (Reciprocal)

For every a ( ), there is a multiplicative inverse such that

Example:

Inverse Properties
properties of real numbers1
Properties of Real Numbers
  • Example – Identifying Properties
    • Name the property that each equation illustrates. Explain.
      • 9 + 7 = 7 + 9
      • t + 0 = t
      • –(q + 3)= -q - 3
properties of real numbers2
Properties of Real Numbers
  • Answers:
    • Commutative Property of Addition, because the order of the addends changes.
    • Associative Property of Multiplication, because the grouping of the factors changes.
    • Identity Property of Addition, because the sum of a number and zero is the number.
    • Distributive Property, because you are finding the area.
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