We are asked to round the number -12.8874 to the nearest integer. To do that we need to see what number is after the decimal place. If the number is equal or greater than 5, then the nearest integer is the number that results from adding 1 to the whole part of the decimal.
If the first digit after the decimal point is smaller than 5 then the nearest integer is the whole number before the decimal point.
In this case, the number after the decimal point is 8, therefore, rounded to the nearest integer the number is:
The answer is -13.