
This video presents preliminary ideas to the course and also indicates prerequisites that the student must meet to access the course efficiently.
This course allows you to memorize the 99x99 Table in an effective, efficient and surprising way!
DON'T BE AFRAID of memorizing the Big Multiplication Table up to 99 × 99. It's far easier than memorizing CHESS OPENINGS with this powerful system.
The base multiplication facts allow us to solve series of multiplication problems in one step.
Explore mental multiplication with multiples of 11, using the casting out nines technique, algebraic shortcuts, and case-based rules to estimate and verify products.
Learn two-step algebraic shortcuts for quick multiplication when a2+b2=10, with practice cases and negative adjustments illustrated in chapter six.
Explore the effect of increasing one factor by 1 and decreasing the other by 1, using a reference multiplication to ease mental calculation, with symmetry indicating equal significance.
Explore how interchanging the last digits of both factors yields a reference multiplication. Apply an easy reference or algebra shortcut number one with 14.
Explore numerical relations between the multiplication and the multiplier, revealing rare equations that few multiplication facts satisfy and teaching algebraic shortcuts to memorize and solve them.
Welcome to The Treatise on Mental Multiplication by O. Franco, Computer Engineer and Math lover who created a method to memorize the entire multiplication table up to 99x99.
Mental math calculations can be performed more efficiently in base 100, that is, a 2-digit number is seen as a 1-digit entity. This requires memorizing a large number of multiplication facts of 2-digit numbers, such as 89×72=6408.
Memorizing 3321 multiplication facts can seem daunting and intimidating, but it can be approached efficiently. The main concept in the memorizing process of the multiplication table up to 99x99 is the strong relationship existing amongst all the multiplications facts themselves within the table. For example, the multiplication fact 85×83=7055 can be directly derived from 84×84=7056 by applying the algebraic shortcut 2.1 (part of the course content). From the multiplication fact 84×84=7056 we can also derive 86×82=7052, 87×81=7047, and so on. 84×84=7056 in turn can be easily calculated from 84×6=504 by applying the algebraic shortcut 1.0. Furthermore, a large set of multiplication facts can be derived from 84×6=504 directly. Just like these there are many examples in the multiplication table.
The techniques outlined in this course are based extensively on Algebra. Because of this, it is highly recommended to have a solid knowledge of Elementary Algebra in order to fully understand the content of the course.
If you're a Mathematician, a Math lover or a Math teacher who needs to verify student calculations, this may be a very good course for you.
The content of this course was developed by Eng. Otto Franco, and the narrator in the videos is an excellent English teacher.
Well, thank you very much for listening and let's get started!