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Worksheet: Properties of Rational Numbers. Evaluate Expressions, Demonstrate Properties, Explain Concepts. Show Work and Provide Explanations.

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Worksheet: Properties of Rational Numbers

Level: Create and Evaluate

Learning Intention: Properties of closure, commutative, associative, and distributive, additive inverse, additive identity, multiplicative inverse, multiplicative identity of Rational Numbers of addition, subtraction, multiplication division of rational numbers.

Instructions: Answer the following questions based on your understanding of the properties of rational numbers. Show all your work and provide explanations where necessary.

  1. Evaluate the expression: 3 + (-5). Show your work.
  1. Create an example of two rational numbers that demonstrate the commutative property of addition.
  1. Evaluate the expression: (2 + 3) + 4. Show your work.
  1. Explain the associative property of multiplication using rational numbers.
  1. Evaluate the expression: 5 - (-7). Show your work.
  1. Create an example of two rational numbers that demonstrate the distributive property of multiplication over addition.
  1. Evaluate the expression: 4 × (2 + 3). Show your work.
  1. Explain the additive inverse property using rational numbers.
  1. Evaluate the expression: (-6) ÷ 2. Show your work.
  1. Create an example of two rational numbers that demonstrate the multiplicative identity property.
  1. Evaluate the expression: 8 + (-8). Show your work.
  1. Explain the multiplicative inverse property using rational numbers.
  1. Evaluate the expression: 3 × (4 + 2). Show your work.
  1. Create an example of two rational numbers that demonstrate the closure property of addition.
  1. Evaluate the expression: (-9) ÷ (-3). Show your work.
  1. Explain the additive identity property using rational numbers.
  1. Evaluate the expression: 5 - 3 × 2. Show your work.
  1. Create an example of two rational numbers that demonstrate the closure property of multiplication.
  1. Evaluate the expression: (-12) ÷ 4. Show your work.
  1. Explain the multiplicative identity property using rational numbers.

Note: This worksheet is designed to assess your understanding of the properties of rational numbers. Take your time and provide complete and accurate answers.