Chapter 1.4, Problem 4P

Adam has made up his own method of rounding. Starting at the right-most place in a number, he keeps rounding to the value of the next place to the left until he reaches the place to which the number was to be rounded. For example, Adam would use the following steps to round 11.3524 to the nearest tenth:

   $11.3524\to 11.352\to 11.35\to 11.4$

Is Adam’s method a valid way to round? Explain why or why not.