Skill: Convert fractions with denominators 10, 100, or 1,000 to decimals

The denominator tells you how many digits belong after the decimal point:

• Denominator $(10)$: 1 decimal place (tenths)
• Denominator $(100)$: 2 decimal places (hundredths)
• Denominator $(1{,}000)$: 3 decimal places (thousandths)

Example: Convert $\frac{7}{1{,}000}$ to a decimal.

1. The denominator is $(1{,}000)$, so the decimal must have three digits after the decimal point.
2. Write the numerator, $7$, in the thousandths place. Add zeros before it so there are three decimal digits:

$$\frac{7}{1{,}000}=0.007$$

3. Therefore, $\frac{7}{1{,}000}$ is seven thousandths, or $\boxed{0.007}$.

The zeros are necessary because $(0.007)$ has three decimal places, while $(0.07)$ has only two.