📝 Practice Worksheets
🛠️ Related Tool
🔑 Key Concepts
- Expressions with decimals still follow the same order of operations rules.
- Simplify inside parentheses before working outside the grouping symbols.
- Evaluate exponents after simplifying parentheses when needed.
- Complete multiplication and division from left to right.
- Complete addition and subtraction from left to right, and underline each part as you simplify it to stay organized.
✏️ Worked Examples — Order of Operations With Decimals
🧠 Math Vocabulary
- Order of operations: The rules that tell the correct sequence for evaluating an expression.
- Grouping symbols: Symbols such as parentheses that show which part of an expression to simplify first.
- Exponent: A number that tells how many times a base is used as a factor.
- Decimal: A number written with a decimal point to show part of a whole.
- Evaluate: To find the value of a numerical expression.
💡 Main Idea
This lesson gives students more practice evaluating expressions with decimals by following the order of operations carefully. Students work through grouping symbols, multiplication, division, and exponents in the correct order. Underlining the part being simplified in each step helps make the work easier to follow and supports accuracy.
📚 What You Should Already Know
Before starting this lesson, students should be able to add, subtract, multiply, and divide decimal numbers. They should also understand how to simplify inside parentheses and evaluate simple exponents.
🚀 What Comes Next
After this lesson, students can move on to more complex numerical expressions with decimals, nested grouping symbols, and algebraic expressions with variables. This work builds strong fluency for multi-step equations and other middle school algebra topics.
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