Decimal Hundredths Examples: Connecting Fractions and Decimals

📚 Quick Study Guide

• 🔢 Decimal hundredths represent fractions with a denominator of 100.
• ➗ To convert a fraction with a denominator of 100 to a decimal, divide the numerator by 100. For example, $\frac{45}{100}$ becomes 0.45.
• ➕ A decimal hundredth has two digits to the right of the decimal point. For example, 0.75, 0.03, and 0.99 are all decimal hundredths.
• ↔️ Fractions and decimals representing the same value are equivalent. For instance, $\frac{25}{100}$ is equivalent to 0.25.
• 💡 Understanding place value is crucial. In the decimal 0.68, the 6 is in the tenths place, and the 8 is in the hundredths place.
• ✍️ To write a decimal hundredth as a fraction, the digits after the decimal point become the numerator, and 100 becomes the denominator. Example: 0.17 = $\frac{17}{100}$

Practice Quiz

1. What decimal is equivalent to $\frac{7}{100}$?
   1. 0.7
   2. 0.07
   3. 7.00
   4. 0.007
2. Which fraction is equivalent to 0.35?
   1. $\frac{35}{10}$
   2. $\frac{35}{100}$
   3. $\frac{3}{5}$
   4. $\frac{100}{35}$
3. What is the place value of the digit 4 in the decimal 0.54?
   1. Tenths
   2. Ones
   3. Hundredths
   4. Tens
4. Express $\frac{92}{100}$ as a decimal.
   1. 0.092
   2. 9.2
   3. 0.92
   4. 92.0
5. Which of the following decimals is the largest?
   1. 0.09
   2. 0.1
   3. 0.01
   4. 0.11
6. What fraction is represented by the decimal 0.05?
   1. $\frac{5}{10}$
   2. $\frac{1}{5}$
   3. $\frac{5}{100}$
   4. $\frac{100}{5}$
7. What is 0.50 as a simplified fraction?
   1. $\frac{50}{100}$
   2. $\frac{1}{2}$
   3. $\frac{5}{10}$
   4. All of the above