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

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

  3. Properties of Real Numbers

  4. Commutative Property of Addition Example: Commutative Property Commutative Property of Multiplication Example: Commutative Properties

  5. Associative Property of Addition Example: Associative Property of Multiplication Example: Associative Properties

  6. Distributive Property • Distributive Property Example: Example: • Distributive Property Mrs. de Nobrega’s math class

  7. Identity Property of Addition Example: Identity Property of Multiplication Example: Identity Properties

  8. 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

  9. 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

  10. 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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