Which of the following is equivalent to 8 1/4 %?

Rationale

8 1/4 % is equivalent to 0.0825.

To convert a percentage to a decimal, you divide by 100. Therefore, 8 1/4 % can be expressed as 8.25% or 8.25/100, which equals 0.0825 in decimal form.

A (0.0825) CORRECT

This choice is correct because converting 8 1/4 %, or 8.25%, into decimal form involves dividing by 100, yielding 0.0825.

B (0.825) YOUR ANSWER

This option represents a decimal that is equivalent to 82.5%, not 8.25%. To obtain this number from a percentage, you would multiply by 100 rather than divide, which is incorrect for the given percentage of 8 1/4 %.

C (8.25) YOUR ANSWER

This choice reflects the percentage value itself rather than its decimal equivalent. While 8.25 is the same numerical figure as 8 1/4 %, it does not represent the proper conversion into decimal form, which should be 0.0825.

D (82.5) YOUR ANSWER

This option is ten times larger than the correct decimal representation. It corresponds to a percentage value of 82.5% rather than 8.25%. Thus, it cannot be the equivalent of 8 1/4 %.

Conclusion

In summary, the correct conversion of 8 1/4 % into decimal form is 0.0825, confirming that option A accurately represents this equivalence. The other choices either misinterpret the conversion process or represent entirely different percentage values, demonstrating the importance of correctly applying mathematical principles in percentage to decimal conversions.

Which of the following is equivalent to 8 1/4 %?

8 1/4 % is equivalent to 0.0825.

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