A mathematician, Pi, is walking on the number line on which each unit is divided into 17 equal intervals. Pi's jump can either be 1 or 1:
0 1
1
S
17
10
17
15
17
If Pi is at a position where p is an integer, how many jumps at most does he need to reach an integer
nearest to ?

Step-by-step explanation:

1st : This is a "tricky" problem about even and odd,  sooo,  to reword the problem so we can figure it out,  how far away can "Pi" be from an integer number ( think whole numbers, like 4, 5,6  ect )   if he's as close to the middle as he an get then.. he'll be standing on 9/17 and he will have to move 8 steps.. in either the plus direction or the minus direction to get to an integer value.  

so 8 "jumps" or steps to get to an integer at most