Order of Operations
Order of operations refers to the rules that determine the sequence in which mathematical expressions should be evaluated. The order of operations is important as it ensures that everyone will get the same result when evaluating a given expression.
The Order of Operations Rules
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Perform any calculations involving exponents (powers and roots).
- Multiplication and Division: Perform multiplication and division from left to right.
- Addition and Subtraction: Perform addition and subtraction from left to right.
One way to remember the order of operations is to use the acronym PEMDAS:
- P - Parentheses
- E - Exponents
- M - Multiplication
- D - Division
- A - Addition
- S - Subtraction
Example:
Let's solve the following expression using the order of operations: 5 + 3 * (7 - 2)
- First, we evaluate the expression inside the parentheses: 7 - 2 = 5
- Then, we multiply 3 by the result from step 1: 3 * 5 = 15
- Finally, we add 5 and the result from step 2: 5 + 15 = 20
Study Guide:
To master the order of operations, it's important to practice with various expressions. Here are some tips for studying this topic:
- Practice solving expressions using the order of operations.
- Challenge yourself with expressions that involve multiple operations.
- Use the PEMDAS acronym as a guide when solving expressions.
- Check your work by following the order of operations step by step.
- Seek additional help or explanations if you encounter difficulties.
Remember, understanding the order of operations is crucial for solving mathematical expressions accurately. With practice and perseverance, you can become proficient in applying these rules.
[Order Of Operations] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Sixth Grade. Area
The resources above cover the following skills:
Geometry (NCTM)
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Use geometric models to represent and explain numerical and algebraic relationships.
Measurement (NCTM)
Apply appropriate techniques, tools, and formulas to determine measurements.
Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.
Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.
Connections to the Grade 6 Focal Points (NCTM)
Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.