2In one move, you are allowed to either double the number or erase its last digit. Is it possible to get from the number 458 to the number 14 in several moves?

#
Try to multiply the original number by 2 until the first digit of the result becomes 7.

## Solution

You can first double the number, then strike out the last digit, or you can do the opposite - strike out the last digit first, then double the number. This has almost no effect on the value of the first digit of the result. Therefore, you can, for example, double the number until the first digit of the result becomes 7; strike out all digits except the first; double it. We get: 458, 916, 1832, 3664, 7328, 732, 73, 7, 14.

## Answer

Yes: $458,45,90,9,18,36,72,7,14$.