Appendix 1 Solutions to End-of-Chapter Questions and Problems
Solution processes are offered for some of the problems answered here. When such a process is explained, it does not necessarily represent the only way the problem can be solved. One or more alternative methods might exist that are easier or more straightforward for you.
1.   The final answer is the same regardless of whether counting is done one by one, in groups of ten, or in groups of twelve.
2.   Large numbers are counted in groups because it is faster than counting one by one.
3.   The numeral zero serves as a placeholder. If the zeros were omitted from a large numeric representation containing zeros, the sequence of digits would no longer represent the same ...

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