Algebra Class 7: Sets and Operations
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Questions and Answers

Which of the following is NOT a whole number?

  • 0
  • 100
  • -3 (correct)
  • 5
  • The commutative property of addition states that the order of numbers in addition does not affect the sum.

    True (A)

    What is the result of (5 + 2) × 4 using the order of operations (PEMDAS)?

    28

    The property that allows us to group numbers in addition without changing the result is called the ______ property.

    <p>associative</p> Signup and view all the answers

    Match the following terms with their corresponding definitions:

    <p>Whole number = Numbers from 0 to ∞, including 0. Integer = Whole numbers from negative infinity (-∞) to positive infinity (+∞), including 0. Natural number = Whole numbers greater than 0.</p> Signup and view all the answers

    Flashcards

    Whole Numbers

    Numbers from 0 to ∞, including 0.

    Natural Numbers

    Whole numbers greater than 0.

    Order of Operations

    Rules for performing calculations: PEMDAS.

    Commutative Property

    Order of numbers in addition/multiplication does not matter.

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    Associative Property

    Grouping of numbers in addition/multiplication does not matter.

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    Study Notes

    Sets of Numbers

    • Integers (ℤ): Whole numbers from negative infinity to positive infinity, including 0.
    • Whole numbers (W): Non-negative whole numbers, including 0.
    • Natural numbers (ℕ): Positive whole numbers, excluding 0.

    Basic Operations

    • Add ( + ): Find the sum.
    • Subtract ( - ): Find the difference.
    • Multiply ( × ): Find the product.
    • Divide ( ÷ ): Find the quotient.

    Order of Operations (PEMDAS)

    • P: Parentheses
    • E: Exponents
    • M: Multiply
    • D: Divide
    • A: Add
    • S: Subtract

    Properties

    • Commutative Property of Addition/Multiplication: The order of numbers does not matter for addition and multiplication.
      • Example: 4 + 3 = 3 + 4 and 4 × 3 = 3 × 4
    • Associative Property of Addition/Multiplication: The grouping of numbers does not matter for addition and multiplication.
      • Example: (2 + 3) + 5 = 2 + (3 + 5) and (2 × 3) × 5 = 2 × (3 × 5)

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    Description

    Test your knowledge of different sets of numbers including integers, whole numbers, and natural numbers. Additionally, explore basic operations and the order of operations using PEMDAS. Understand key properties like commutative and associative properties for addition and multiplication.

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