What is the arithmetic mean of the integers from -4 through 5, inclusive? Express your answer as a decimal to the nearest tenth.
To find the arithmetic mean of a set of numbers, I need to add up all the numbers and divide by the number of numbers. The numbers from -4 through 5, inclusive, are -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5. There are 10 numbers in total, so I need to divide the sum by 10. The sum of these numbers is -4 + -3 + -2 + -1 + 0 + 1 + 2 + 3 + 4 + 5 = 5. So the arithmetic mean is 5/10, which simplifies to 0.5. To express this as a decimal to the nearest tenth, I just need to write 0.5 as 0.5. 