11. Change the percent to a decimal: 38% =
Answer: D
38% = 0.38
To convert a percent to a decimal, you divide the percentage by 100. Therefore, 38% is equivalent to 0.38 when expressed as a decimal.
A) 3.8
Option A is incorrect because 3.8 represents a value that is 100 times greater than the original percentage. Dividing 38 by 100 does not yield 3.8; rather, it yields 0.38.
B) 0.038
Option B is also incorrect. This value is obtained by dividing 38 by 1000 instead of 100, which is not the appropriate conversion for changing a percent to a decimal. Thus, it does not represent 38%.
C) 38
Option C is incorrect because it simply restates the percentage without any conversion. To express 38% as a decimal, it must be divided by 100, which results in 0.38, not 38.
D) 0.38
Option D is correct. Converting 38% to a decimal involves dividing 38 by 100, resulting in 0.38. This accurately reflects the fractional representation of the percentage.
Conclusion
The correct conversion of 38% to a decimal is 0.38, as confirmed by the mathematical operation of dividing by 100. Other options either misrepresent the decimal value or fail to perform the conversion appropriately, confirming that D is the definitive answer.