5. If a number rounded to the nearest hundredth is 9.99, which of the following could be the number?
Answer: C
The number could be 9.992.
Rounding the number to the nearest hundredth results in 9.99, which indicates that the original number must be within the range of 9.985 to 9.995. The option 9.992 falls within this range.
A) 9.845
The number 9.845 rounds to 9.85 when rounded to the nearest hundredth, which is outside the required range of 9.985 to 9.995. Therefore, this option is incorrect.
B) 9.983
The number 9.983 rounds to 9.98 when rounded to the nearest hundredth, which also does not meet the criteria of rounding to 9.99. Thus, this option is incorrect.
C) 9.992
The number 9.992 rounds to 9.99 when rounded to the nearest hundredth, placing it within the acceptable range of 9.985 to 9.995. Therefore, this option is correct.
D) 2.998
The number 2.998 rounds to 3.00 when rounded to the nearest hundredth, which is far outside the specified range of 9.985 to 9.995. Consequently, this option is incorrect.
Conclusion
The correct answer is 9.992 because it is the only option that rounds to 9.99 when rounded to the nearest hundredth. All other options either round to a different number or fall outside the necessary rounding range. Thus, 9.992 is the only viable candidate that meets the criteria set by the question.