what is 8.25% converted into a decimal and rounded off to four places
The Correct Answer and Explanation is:
To convert 8.25% into a decimal:
- Understanding Percent to Decimal Conversion: A percentage represents a fraction out of 100. To convert a percentage to a decimal, we divide the percentage by 100.
- The Conversion: 8.25100=0.0825\frac{8.25}{100} = 0.08251008.25=0.0825
Thus, 8.25% as a decimal is 0.0825.
Explanation:
- The percentage symbol (%) means “per hundred,” so when you divide 8.25 by 100, you are essentially moving the decimal point two places to the left.
- The result is 0.0825, which is the decimal equivalent of 8.25%. If the result needed rounding, you would round it based on the required decimal places. For this problem, rounding it to four places gives us 0.0825 as the final answer.
This conversion is essential in mathematics, especially when working with proportions, interest rates, or probability, where you might need to switch between percentage and decimal forms to make calculations easier.
