Questions and Answers
What is the order of operations?
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?
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If Marino has 15 more dollars than Kaitlyn, how can this be represented algebraically?
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Eileen bought 5 roses and a $12 daisy. How can this be represented with an equation?
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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.