The Section 4 of our Math Course is about the Multiplication between Relative Integers.
The multiplication between positive integers is a 'long' addition at first glance.
But in Scilab, it is the operator '*', that may be used to multiply any relative integers with different signs, and even 0!
The 'signs rules' for the multiplication are given, after we have explored it in Scilab.
That little Quiz assesses the knoledge of the signs rules, as well as the multiplication by the particular numbers 0, 1 and -1.
The relative integers set Z has, together with the addition and the multiplication, a so called structure of "ring". This lecture explains the characteristic properties of a ring, always beginning with examples.
There are 2 additional pdf files. "ZplusMultRing" explains more completely the structure of ring and its consequences, in particular the role of parentheses in a formula.
The second pdf file is a serie of solved exercises using the properties of the multiplication together with the addition.
This lecture shows additional tips about the multiplication of integers.
We first see the manual multiplication as an application of the distributivity law, with examples in the video and explanations and proof in the pdf file.
We finish with our first functions, the linear functions, which draw straight lines.
The powers of 10 are on the core of decimal notation of numbers, as well as on the definition of the orders of magnitude.
This lecture details these matters, with a video giving te practice and a pdf additional file giving the theory.