You get 40 pages and 75 practice questions
and
It only takes AT MOST 5 Hours!!!
(Including doing all the practice questions)

To understand how this and the other books are connected click here: Topics Map


Q: Who is it intended for?

It is intended for three groups:

1. For 3rd - 5th graders who studied the Ones-Tens-Hundred type of books about Place Value and are ready to learn the full ideas behind Place Value.

2. For higher grades students who have mastered the mechanics of the decimal system but most likely do not know and understand all the ideas behind Place Value, since no other book teaches it.

3. For parents and teachers who are working with their children or students on Place Value and could use a guide book about the mathematical ideas of the system; ideas that can be quite complex and abstract.


Q: Why does my child need to know that? After all, s/he knows how to count and write numbers.

The Place Value system is the basis for our system of numbers. Without fully understanding it, your child would not fully understand many concepts that come later, such as derivatives in calculus, or the roots of a cubic equation.


Q: What is the difference between your book and all the other books?

It is easy to answer since NO OTHER book fully explains the Place Value System. The way all books teach it is through the one idea of grouping, then doing many exercises about Ones and Tens, then Ones-Tens-Hundreds (and possibly Thousands). However, the Place Value system is complex and took the efforts of many great mathematicians over millennia. The concept of Zero was not developed in most of those cultures (including the Greeks) and division by Zero, which is meaningless, was completely misunderstood, and is often still so. This book is the only book I know of that explains the Place Value System completely and thoroughly in a way that children can understand.


Q: How do I know if my child, who knows numbers and Place Value, needs the book? And how do I know if I need it?

To check whether your children [and possibly you if you homeschool] need it, check their understanding and knowledge of the following three questions:

1. What is the meaning of Zero? [you should have two answers, not one...]

2. Can you divide by Zero? If yes, what is the result? If no, why? [the answer is you cannot...]

3. What are the rules/ideas of the Place Value system? [you should have 5-6 depending on how the answer is phrased]

If your child knows the answers to those questions, then you should not buy the Place Value book, but if s/he doesn't, then you should buy it to ensure their deeper understanding of the Place Value Sysem, and therefore better understanding of other concepts in Math.