What Is the Decimal Representation of Seven Hundredths?
The phrase seven hundredths describes a number in base-10 place value where 7 is in the hundredths position. The decimal representation of seven hundredths is \(0.07\).
Direct statement: Seven hundredths means \(\frac{7}{100}\), and \(\frac{7}{100}=0.07\).
1) Convert Seven Hundredths to a Fraction
“Hundredths” indicates a denominator of 100. Therefore seven hundredths is written as the fraction \(\frac{7}{100}\).
2) Convert \(\frac{7}{100}\) to a Decimal
Dividing by 100 moves the decimal point two places to the left. Starting from \(7\), this becomes \(0.07\). Equivalently, \(\frac{7}{100}=7\times 10^{-2}=0.07\).
3) Place Value Interpretation
In a decimal number, the first digit to the right of the decimal point is the tenths place, and the second digit is the hundredths place. So in \(0.07\), the 0 is in the tenths place and the 7 is in the hundredths place.
| Ones | Tenths | Hundredths |
|---|---|---|
| 0 | 0 | 7 |
4) Visualization: Decimal Place Value Strip
The decimal representation of seven hundredths is \(0.07\) because seven hundredths equals \(\frac{7}{100}\).