8 Shift
Number Theory
Level
2
A particularly long integer ends with an 8. Shifting this 8 digit to the leftmost position creates a new number which is twice the original. Find the smallest possible value of the original number.
Clarification: This 8-shift procedure looks as follows: \(123{\color{red}8} \longrightarrow {\color{red}8}123.\)
by
Red Mobbs