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Repeating Decimals PowerPoint PPT Presentation

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.

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

Properties of Real Numbers

Example:

Commutative Property

Commutative Property of Multiplication

Example:

Commutative Properties

Example:

Associative Property of Multiplication

Example:

Distributive Property

• Distributive Property

Example:

Example:

• Distributive Property

Mrs. de Nobrega’s math class

Example:

Identity Property of Multiplication

Example:

Identity Properties

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:

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