🔑 Key Concepts
- A fraction can be converted to a decimal by dividing the numerator by the denominator.
- Some fractions can be rewritten as equivalent fractions with denominators of 10, 100, or 1000.
- If the denominator cannot be changed into a decimal place value, use long division.
- You can add zeros to the dividend to continue dividing when needed.
- Some decimals terminate, while others repeat.
🧠 Math Vocabulary
- Equivalent fraction: a fraction that represents the same value.
- Decimal place value: positions such as tenths, hundredths, and thousandths.
- Terminate: when a decimal ends.
- Repeat: when a decimal continues in a pattern forever.
- Quotient: the answer to a division problem.
💡 Main Idea
Fractions can be converted to decimals in two ways. Some fractions can be rewritten as equivalent fractions with denominators of 10, 100, or 1000. When that is not possible, long division can be used to find the decimal form.
📚 What You Should Already Know
Before watching this video, students should understand place value, fraction notation, and basic division. They should also be familiar with multiplying fractions to create equivalent fractions.
🚀 What Comes Next
After converting fractions to decimals, students will compare rational numbers in different forms, convert decimals back into fractions, and apply these skills to percent problems and real-world measurement situations.