Which of the following decimals equals 2.75%?

Rationale

0.0275 equals 2.75%.

To convert a percentage to a decimal, divide by 100. Thus, 2.75% can be expressed as 2.75 ÷ 100, which results in 0.0275.

A (275) YOUR ANSWER

This choice is simply the percentage value expressed as a whole number without conversion to a decimal. It does not represent the decimal equivalent of 2.75%, as it is 100 times larger than the correct answer.

B (27.5) YOUR ANSWER

This option represents a value that is also not a decimal equivalent of 2.75%. Similar to option A, it fails to reflect the proper conversion, as it is still 10 times larger than the correct decimal representation.

C (0.0275) CORRECT

This is the correct choice because it accurately represents 2.75% in decimal form, achieved by dividing 2.75 by 100. This conversion is essential for comparing percentages in decimal format.

D (0.275) YOUR ANSWER

While this choice is a decimal, it represents 27.5% instead of 2.75%. It is ten times greater than the correct answer, resulting from a misunderstanding of the percentage-to-decimal conversion process.

Conclusion

The conversion of percentages to decimals is a fundamental mathematical skill that requires dividing the percentage by 100. In this case, 2.75% correctly equals 0.0275, while the other options misrepresent this relationship either by remaining in whole or incorrect decimal forms. Understanding this conversion is crucial for accurate mathematical computations.

Which of the following decimals equals 2.75%?

0.0275 equals 2.75%.

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