🔑 Key Concepts
- Multiplication and division are completed from left to right.
- Addition and subtraction are completed from left to right.
- Decimal expressions follow the same order of operations rules as whole-number expressions.
- Grouping symbols should be simplified before the other operations outside the parentheses.
- Underlining the part being simplified helps students stay organized and avoid skipping steps.
✏️ Worked Examples — Order of Operations With Decimals
🧠 Math Vocabulary
- Order of operations: The rules that tell the order for simplifying an expression.
- Expression: A mathematical phrase with numbers and operations, but no equal sign.
- Decimal: A number written using a decimal point to show parts of a whole.
- Grouping symbols: Symbols such as parentheses that show what to evaluate first.
- Evaluate: To find the value of an expression.
💡 Main Idea
This lesson shows how to evaluate decimal expressions by following the order of operations carefully. Students see that division and multiplication are handled from left to right, and addition and subtraction are also handled from left to right. Underlining the part being simplified at each step helps keep the work organized and makes it easier to see why each new line is correct.
📚 What You Should Already Know
Before starting this lesson, students should be able to multiply and divide decimals, add and subtract decimals, and recognize basic operation symbols. They should also understand that expressions are simplified one step at a time rather than all at once.
🚀 What Comes Next
After this lesson, students can move on to more challenging order of operations problems with exponents, nested parentheses, and similar expressions that give different results depending on where grouping symbols are placed. This also prepares students for evaluating algebraic expressions in later lessons.
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