Question 13

0.0275 equals 2.75%

To convert a percentage to a decimal, divide the percentage by 100. Therefore, 2.75% can be expressed as 2.75 ÷ 100, which equals 0.0275.

A) 275

This option is incorrect because 275 is a whole number and does not represent the decimal form of 2.75%. It is significantly larger than the actual value when converted from a percentage.

B) 27.5

27.5 is also incorrect as it is ten times larger than the correct decimal form. This option misrepresents the conversion from 2.75%, as it does not reflect the proper division by 100.

C) 0.0275

This option is correct. When 2.75% is converted to decimal form by dividing by 100, the result is 0.0275, accurately representing the percentage as a decimal.

D) 0.275

0.275 is incorrect because it represents 27.5% when converted back into a percentage. This value is larger than 2.75%, making it an inaccurate representation of the original percentage.

Conclusion

The correct answer is 0.0275, as it accurately reflects the decimal conversion of 2.75%. All other options either misrepresent the value or fail to adhere to the correct mathematical conversion process. Therefore, option C is the definitive answer.