How many times will the digit 5 be written when listing the integers from 1 to 1000?
Choose the most appropriate option:
A) 300
B) 380
C) 180
D) 415
E) 264
Many approaches are possible. For example:   Consider numbers from 0 to 999 written as follows:   1. 000   2. 001   3. 002   4. 003   ...   ...   ...   1000. 999   We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000= 
<gadget id="calculator">3*1000</gadget>
<output>3_000</output>
3000 digits. Now, why should ANY digit have preferences over another? We used each of 10 digits equal # of times, thus we used each digit (including 5) 3000/10=300 times.   300nswer: 300.
<result>A</result>
How many times will the digit 5 be written when listing the integers from 1 to 1000?