12. Which of the following is equivalent to 8 1/4 %?
Answer: A
0.0825
8 1/4 % is equivalent to 0.0825 when converted to decimal form. This is achieved by dividing 8.25 by 100, which gives the decimal representation of the percentage.
A) 0.0825
This option is correct because to convert a percentage to a decimal, you divide by 100. Therefore, 8 1/4 % or 8.25% becomes 8.25 / 100 = 0.0825.
B) 0.825
Option B is incorrect because 0.825 represents 82.5%, not 8.25%. The conversion process shows that 8 1/4 % is much smaller than 0.825.
C) 8.25
This option is also incorrect as 8.25 represents the percentage itself, not its decimal equivalent. To find the decimal form, one must divide by 100, leading to the correct answer of 0.0825.
D) 82.5
Option D is incorrect because 82.5 represents 8250%, which is significantly larger than 8 1/4 %. The proper calculation for converting 8 1/4 % does not yield this value.
Conclusion
The correct answer, 0.0825, accurately represents the decimal form of 8 1/4 %. All other options fail to provide the appropriate conversion, either misrepresenting the percentage or indicating a value much larger than intended. Understanding the conversion between percentages and decimals is crucial for accurate mathematical operations.