7. Which of the following is equivalent to 8,1/4?
Answer: c
8,1/4 is equivalent to 8.25
8,1/4 can be expressed as a decimal by converting the fraction 1/4 into its decimal form, which is 0.25. Therefore, when added to 8, it results in 8.25.
A) 0.0825
This option is incorrect as it significantly underestimates the value of 8,1/4. The correct decimal representation is much larger, as 0.0825 does not account for the whole number 8.
B) 0.825
This choice is also incorrect. While it is closer than option A, it still misrepresents the value of 8,1/4. The correct value is much higher, as it does not include the whole number component correctly.
C) 8.25
This is the correct answer, as it accurately represents the value of 8,1/4. Converting 1/4 to 0.25 and adding it to 8 gives the precise result of 8.25.
D) 82.5
This option is incorrect as it misplaces the decimal point. It suggests a value ten times larger than what is represented by 8,1/4, which is not appropriate.
Conclusion
The correct answer is 8.25, as it accurately reflects the conversion of the mixed number 8,1/4 into decimal form. All other options fail to represent the value correctly, either by underestimating or misplacing the decimal, thereby demonstrating a misunderstanding of basic number conversion.