Repeating decimals
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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

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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


Properties of real numbers

Properties of Real Numbers


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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