Order of Operations in Algebra
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Questions and Answers

What is the order of operations?

  • The sequence of operations in math (correct)
  • A method to write equations
  • A way to find the largest number
  • The definition of addition
  • What does PEMDAS stand for?

    Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

    What is the result of 12 * 6 + (18 + 9 * 4)?

    6,651

    What is the result of 18 + 23 * 66?

    <p>318</p> Signup and view all the answers

    If Marino has 15 more dollars than Kaitlyn, how can this be represented algebraically?

    <p>X + 15</p> Signup and view all the answers

    Eileen bought 5 roses and a $12 daisy. How can this be represented with an equation?

    <p>(X × 5) + 12</p> Signup and view all the answers

    Study Notes

    Order of Operations

    • The order of operations is a standardized sequence for performing mathematical calculations.
    • Ensures consistent solutions when solving equations.
    • Adheres to the acronym PEMDAS for determining the sequence of operations.

    PEMDAS Breakdown

    • P: Parentheses – Solve expressions within parentheses first.
    • E: Exponents – Calculate powers and roots next.
    • MD: Multiplication and Division – From left to right as they appear.
    • AS: Addition and Subtraction – From left to right as they appear.

    Example Calculation

    • Expression: 12 * 6 + (18 + 9°4)
    • Result: 6,651 after applying order of operations correctly.

    Additional Example Calculation

    • Expression: 18 + 23 * 66
    • Result: 318, demonstrating multiplication before addition.

    Algebraic Expression Representation

    • Marino's financial situation can be represented as X + 15, where X is Kaitlyn's amount.
    • This forms the basis for comparative equations in problems.

    Eileen's Purchase Calculation

    • Represents Eileen's flower purchase with the expression (X × 5) + 12, where X is the cost of each rose.
    • Incorporates both multiplication for the roses and a fixed cost for the daisy.

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    Description

    Test your understanding of the order of operations, commonly known as PEMDAS, and how it applies to mathematical equations. This quiz includes examples and calculations to help reinforce your knowledge of how to approach complex expressions systematically.

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