📝 Practice Worksheets
🔑 Key Concepts
- Some fractions produce decimals that repeat forever.
- The repeating digit depends on the numerator.
- Repeating decimals follow predictable patterns.
- Every repeating decimal represents a rational number.
🧠 Math Vocabulary
- Repeating Decimal: A decimal with digits that repeat forever.
- Rational Number: A number that can be written as a fraction.
- Numerator: The top number of a fraction.
- Denominator: The bottom number of a fraction.
- Decimal Pattern: A predictable repeating sequence of digits.
✏️ Worked Example — Building Decimal Equivalents for Eighths
💡 Main Idea
Many fractions create repeating decimals when divided. These repeating decimals follow patterns and can always be written as fractions. Because they can be expressed as a ratio of integers, repeating decimals are rational numbers.
📚 What You Should Already Know
Students should know how to divide numbers, understand fractions, and recognize decimal notation. They should also understand place value in decimals.
🚀 What Comes Next
Students will learn how to convert repeating decimals back into fractions and distinguish between rational and irrational numbers.
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