Quick Quiz: Convert Terminating Decimals to Fractions

📚 Quick Study Guide

• 🔢 Definition: A terminating decimal is a decimal number that has a finite number of digits after the decimal point (e.g., 0.25, 1.75).
• 📝 Steps to Convert:
  1. Write the decimal as a fraction with the decimal part over a power of 10 (10, 100, 1000, etc.). For example, 0.75 becomes $\frac{75}{100}$.
  2. Simplify the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). For example, $\frac{75}{100}$ simplifies to $\frac{3}{4}$.
• 💡 Example 1: Convert 0.5 to a fraction.
  • $0.5 = \frac{5}{10}$
  • $\frac{5}{10}$ simplifies to $\frac{1}{2}$
• 🧮 Example 2: Convert 0.125 to a fraction.
  • $0.125 = \frac{125}{1000}$
  • $\frac{125}{1000}$ simplifies to $\frac{1}{8}$
• 🔑 Key Point: The number of decimal places determines the power of 10 you use in the denominator. 1 decimal place $\rightarrow$ 10, 2 decimal places $\rightarrow$ 100, 3 decimal places $\rightarrow$ 1000, and so on.

🧪 Practice Quiz

1. What fraction is equivalent to 0.2?
   1. $\frac{1}{5}$
   2. $\frac{1}{4}$
   3. $\frac{1}{3}$
   4. $\frac{1}{2}$
2. What fraction is equivalent to 0.75?
   1. $\frac{2}{3}$
   2. $\frac{1}{2}$
   3. $\frac{3}{4}$
   4. $\frac{7}{10}$
3. What fraction is equivalent to 0.6?
   1. $\frac{2}{5}$
   2. $\frac{3}{5}$
   3. $\frac{1}{2}$
   4. $\frac{7}{10}$
4. What fraction is equivalent to 0.8?
   1. $\frac{3}{5}$
   2. $\frac{4}{5}$
   3. $\frac{7}{10}$
   4. $\frac{1}{2}$
5. What fraction is equivalent to 0.35?
   1. $\frac{7}{20}$
   2. $\frac{1}{3}$
   3. $\frac{3}{10}$
   4. $\frac{2}{5}$
6. What fraction is equivalent to 0.05?
   1. $\frac{1}{10}$
   2. $\frac{1}{20}$
   3. $\frac{1}{5}$
   4. $\frac{3}{20}$
7. What fraction is equivalent to 0.625?
   1. $\frac{5}{8}$
   2. $\frac{2}{3}$
   3. $\frac{1}{2}$
   4. $\frac{3}{5}$