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Questions and Answers
What is the order of operations?
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?
What does PEMDAS stand for?
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
What is the result of 12 * 6 + (18 + 9 * 4)?
What is the result of 12 * 6 + (18 + 9 * 4)?
6,651
What is the result of 18 + 23 * 66?
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?
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?
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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