What are the limits of accuracy for 9.876 rounded to three decimal places?

The limits of accuracy for 9.876 rounded to three decimal places are 9.8755 and 9.8765.

When a number is rounded to three decimal places, it means that the number is accurate to the nearest thousandth. In this case, 9.876 is rounded to three decimal places. To find the limits of accuracy, we need to determine the smallest and largest values that would round to 9.876.

The smallest value that would round up to 9.876 is 9.8755. This is because any number less than 9.8755 would round down to 9.875 when rounded to three decimal places. On the other hand, the largest value that would round down to 9.876 is 9.8765. Any number greater than or equal to 9.8765 would round up to 9.877.

Therefore, the limits of accuracy for 9.876 rounded to three decimal places are from 9.8755 to just under 9.8765. This range ensures that any number within these limits, when rounded to three decimal places, will result in 9.876. Understanding these limits is important in various applications, such as measurements and calculations, where precision is crucial.