Answer :

- Convert the percentage to a decimal: $0.5\% = 0.005$.
- Multiply the decimal by 126: $0.005 \times 126 = 0.63$.
- The result of the multiplication is the answer.
- Therefore, $0.5\%$ of 126 is $\boxed{0.63}$.

### Explanation
1. Understanding the problem
We need to calculate $0.5\%$ of 126. This means we need to find what value we get when we take $0.5\%$ of 126. The percentage can be written as a decimal by dividing by 100, and the word 'of' indicates multiplication. So, we need to calculate $0.5\% \times 126$.

2. Converting percentage to decimal
First, we convert the percentage to a decimal. To do this, we divide $0.5$ by $100$:$$\frac{0.5}{100} = 0.005$$

3. Multiplying the decimal by 126
Now, we multiply the decimal by 126:$$0.005 \times 126 = 0.63$$

4. Final Answer
Therefore, $0.5\%$ of 126 is $0.63$.

### Examples
Imagine you're calculating the sales tax on a purchase. If the tax rate is 0.5% and your purchase is $126, this calculation tells you the amount of tax you owe. Understanding percentages is also useful in many real-world scenarios, such as calculating discounts, interest rates, and statistics. This simple calculation can help you manage your finances and make informed decisions.