Write as a decimal.
The Correct Answer and Explanation is:
To convert 8.25% into a decimal, we divide the percentage by 100. Here’s how:
Step-by-step explanation:
- Understanding Percent:
The percentage symbol (%) represents “per hundred.” So, when you see 8.25%, it means 8.25 per 100. - Converting to Decimal:
To convert a percentage to a decimal, you simply divide the percentage value by 100. In other words, move the decimal point two places to the left. - Calculation:
8.25%=8.25100=0.08258.25 \% = \frac{8.25}{100} = 0.08258.25%=1008.25=0.0825
Final Answer:
8.25% as a decimal is 0.0825.
Explanation:
Percentages are a way of expressing numbers as parts of 100. So when you convert a percentage to a decimal, you are essentially removing the “per hundred” concept and expressing it as a base 10 fraction. This is why moving the decimal point two places to the left gives you the decimal equivalent.
For example:
- 50% = 0.50 (which means 50 out of 100)
- 8.25% = 0.0825 (which means 8.25 out of 100)
This conversion is important in various mathematical contexts, especially when calculating proportions, working with financial data, or analyzing scientific data. By expressing percentages as decimals, it makes it easier to perform operations like multiplication or division.
In real-world applications, the decimal form is also used in fields like statistics, economics, and computing, where exact calculations are necessary.
