17. 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 a number to the nearest hundredth means looking at the thousandths place to determine whether to round up or down. Since 9.99 rounds to 9.99, any number from 9.985 to 9.995 will round to this value, making 9.992 a valid option.
A) 9.845
Option A is incorrect because 9.845 rounds to 9.84 when rounded to the nearest hundredth. This value is significantly lower than 9.99 and therefore does not meet the criteria.
B) 9.983
Option B is also incorrect since 9.983 rounds to 9.98 when rounded to the nearest hundredth. This value is still lower than 9.99 and fails to satisfy the rounding requirement.
C) 9.992
Option C is correct because 9.992 rounds to 9.99 when rounded to the nearest hundredth. It falls within the acceptable range of numbers that can round to 9.99, specifically between 9.985 and 9.995.
D) 9.998
Option D is incorrect because 9.998 would round to 10.00 when rounded to the nearest hundredth. This is higher than 9.99 and does not fit the rounding criteria.
Conclusion
The correct answer, 9.992, is the only option that can round to 9.99 when considering the rounding rules applicable to the hundredths place. All other options either round down to values below 9.99 or round up to a value above 9.99, thus failing to meet the stated condition.