Why introduce more complex math concepts on the basic book?

[alazar14]

As I continue to refresh my basic math skills for the GMAT with the Manhattan guide 1 Fractions, Decimals, and Percents, I continuously seem to come across a very disturbing trend in the book.

Frequently the book will attempt to introduce a concept that is of importance to the subject being covered, but will then go around and confuse you by explaining the concept using mathematical concepts not yet known to the reader. One such example is at the end of chapter 2 of the Fractions decimals and percentages 5th edition book. The problem asks

Are the √3 over 2 and 2√3 over 3 reciprocals?

The answer then proceeds to explain that in order to test whether or not two numbers are reciprocals, we can multiply them. That's great! Except for the fact that if we are studying how to multiply fractions we likely also forgot how to multiply square roots! A concept generally taught in Algebra.

Isn't it logical to assume that a learning tool titled Fractions, Decimals, and Percentages would avoid using math that is above the concepts the book is attempting to teach in order to explain those concepts?

I would love to hear from the staff on this if possible.

[tim]

we do assume some basic math background coming into the course, and we have a foundations of math curriculum to help anyone who needs to brush up on these basic skills. beyond that, we're here on the forum to help if you have any questions you cannot find answers to elsewhere!