Write the fractions \( \frac{22}{100} \) and 22 decimals. How are the values of the digit 2 elated in each of the decimals?

To convert the fraction \( \frac{22}{100} \) into decimal form, you can divide the numerator by the denominator: \[ \frac{22}{100} = 0.22 \] Now, let's express the fraction \( \frac{22}{100} \) in decimal form, which is \( 0.22 \). Next, we can also express the number 22 as a decimal: \[ 22 = 22.00 \] Now we have two decimal representations: - From the fraction: \( 0.22 \) - From the whole number: \( 22.00 \) ### Relationship of the digit 2 in each decimal: 1. In the decimal \( 0.22 \): - The first digit '2' is in the tenths place, representing \( \frac{2}{10} \) or 0.2. - The second digit '2' is in the hundredths place, representing \( \frac{2}{100} \) or 0.02. 2. In the decimal \( 22.00 \): - The first digit '2' is in the tens place, representing \( 2 \times 10 = 20 \). - The second digit '2' is in the units place, representing \( 2 \times 1 = 2 \). ### Summary of the relationship: - In \( 0.22 \), both '2's contribute to the value of the decimal, with the first '2' contributing 0.2 and the second '2' contributing 0.02. - In \( 22.00 \), the first '2' contributes to the tens place (20), and the second '2' contributes to the units place (2). Thus, the digit '2' in both decimals represents different values based on its position: in \( 0.22 \), it contributes to fractional values, while in \( 22.00 \), it contributes to whole number values.