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Questions and Answers
What is the acronym used to remember the order of operations?
What is the first step in evaluating an expression with the order of operations?
How do you evaluate multiple operations of the same type in an expression?
What is the correct order of operations for the expression 2 Ã— 3 + 12 - 8?
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What operation is evaluated second in the order of operations?
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Why is the order of operations important?
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Study Notes
Order of Operations
The order of operations is a set of rules used to evaluate mathematical expressions in the correct order.
Acronym: PEMDAS
The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next (e.g., 2^3).
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Example:
2 Ã— 3 + 12 - 8
Following the order of operations:
- Multiply 2 and 3: 2 Ã— 3 = 6
- Add 12: 6 + 12 = 18
- Subtract 8: 18 - 8 = 10
Important Notes:
- When there are multiple operations of the same type (e.g., multiple additions), evaluate them from left to right.
- When there are no parentheses, start with exponents, then multiplication and division, and finally addition and subtraction.
Order of Operations
- The order of operations is a set of rules used to evaluate mathematical expressions in the correct order.
Acronym: PEMDAS
- PEMDAS is an acronym used to remember the order of operations.
- Each letter in PEMDAS represents an operation:
- P: Parentheses
- E: Exponents
- M: Multiplication
- D: Division
- A: Addition
- S: Subtraction
Evaluating Expressions
- Evaluate expressions inside parentheses first.
- Evaluate exponential expressions next (e.g., 2^3).
- Evaluate multiplication and division operations from left to right.
- Evaluate addition and subtraction operations from left to right.
Important Notes
- When there are multiple operations of the same type (e.g., multiple additions), evaluate them from left to right.
- When there are no parentheses, start with exponents, then multiplication and division, and finally addition and subtraction.
Example
- Evaluate the expression: 2 Ã— 3 + 12 - 8
- Multiply 2 and 3: 2 Ã— 3 = 6
- Add 12: 6 + 12 = 18
- Subtract 8: 18 - 8 = 10
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Description
Evaluating mathematical expressions in the correct order using the PEMDAS rule.