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Repeating Decimals

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- Repeating decimals are decimals that contain a infinite number of digits.
- Examples:
- 0.333…
- 7.689689…

- Non repeating decimals are decimals that either end or carry on forever in a random way.
- Examples:
- 0.3297680486…
- 2.7

Commutative Property of Addition

Example:

Commutative Property

Commutative Property of Multiplication

Example:

Associative Property of Addition

Example:

Associative Property of Multiplication

Example:

- Distributive Property
Example:

Example:

- Distributive Property

Mrs. de Nobrega’s math class

Identity Property of Addition

Example:

Identity Property of Multiplication

Example:

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:

- Example – Identifying Properties
- Name the property that each equation illustrates. Explain.
- 9 + 7 = 7 + 9
- t + 0 = t
- –(q + 3)= -q - 3

- Name the property that each equation illustrates. Explain.

- 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.