How many times does 1 appear in numbers 1 - 500?

1 - 9 = 1

10-19 = 10

20-99 = 8

So...0 - 99 = 19

100 - 199 = 100 + 19 = 119

200 - 299 = 19

300 - 399 = 19

400 - 499 = 19

500 = 0

So, in 1 - 500, the number 1 shows up this many times:

100 + (19 * 5) = 100 + 95 = 195 times