# The Fractions, Rational Numbers and Real Numbers

## Master computation with fractions, rational numbers and real numbers

The aim of that course is to give you the mastery of the construction and manipulation of the fractions and of the rational numbers they lead to.

Starting with practical Python manipulations and scripts, you will become by the end of that course a master in:

- Constructing the fractions, and then the rational number as sets of equivalent fractions.
- Comparing fractions, and then the rational numbers, and ordering the rational numbers set Q
- Adding, subtracting, multiplying and dividing the fractions, and then the rational numbers,, including doing all these operations in a unique formula.
- Exponentiating the rational numbers by integers of any signs, provided the rational number is non-zero when the exponent is negative.
- Exponentiate a product or a quotient, and setting a non-zero rational number to the power a sum or a difference.
- Comparing the results of additions or subtractions.
- Comparing the results of multiplications, division, or exponentiations by natural integers.

That course includes 57 high quality video lectures, plus 10 downloadable recapitulative documents, one per section, with all the proofs. It proposes 10 intermediate tests plus a final assessment, with the possibility of having them corrected and, for the final assessment, graded.

## Your Instructor

Fabienne holds the “Agrégation de Mathématiques“ , the French Highest Degree to teach math in Secondary Schools.

After a career of 26 years as a R&D engineer in applied mathematics, she founded Mathedu (Re-engineering Mathematics) with her husband and collaborator François, to teach mathematics from a practical point of view, based on Python coding.

She is both an expert in teaching math and a passionated woman and will help you to experiment the joy of increasing your mastery in mathematics.