237 was rounded to the nearest one. What is the upper bound?
The correct answer and explanation is:
When a number is rounded to the nearest one, the rounding process involves adjusting the number based on the value of the digit in the tenths place (the first digit after the decimal point). In this case, the number 237 has been rounded to the nearest one.
To determine the upper bound of this rounded number, we need to consider the range of values that would round to 237 when rounded to the nearest one.
The process of rounding follows these steps:
- If the digit in the tenths place is 5 or higher, the number rounds up.
- If the digit in the tenths place is less than 5, the number rounds down.
For example, the number 237 would be rounded from any number between 236.5 and 237.4999 (inclusive). Any number within this range would round to 237 when rounded to the nearest one.
To determine the upper bound, we focus on the highest number that, when rounded to the nearest one, still results in 237. This is the number just below 238, which is 237.5.
Therefore, the upper bound for the rounded number 237 is 237.5. This means that any number less than 237.5 will round down to 237 when rounded to the nearest one, but any number equal to or greater than 237.5 would round up to 238.
The upper bound can be thought of as the value that is still rounded to 237, but just below the point where rounding would push it to the next whole number, which in this case is 238. Thus, the correct answer is 237.5.