Mental Multiplication for Everyone

Name: Mental Multiplication for Everyone
Rating: 5.0 (5 reviews)

Method to Memorize the Multiplication Table up to 99x99

Created byOtto Franco

Last updated 10/2024

English

What you'll learn

Method to memorize the 3321 multiplication facts of 2-digit numbers such as 79x62=4898.
Lose the fear of using memory by learning to use it.
Learn the proper way to memorize a large data set based on its structure and relationships.
Learn that the 3321 multiplication facts are not isolated but strongly interrelated.

Course content

2 sections • 26 lectures • 2h 34m total length

Hello and Welcome!2:21
Introductory Video13:00
This video presents preliminary ideas to the course and also indicates prerequisites that the student must meet to access the course efficiently.
Awesome Mental Math Performance9:27
This course allows you to memorize the 99x99 Table in an effective, efficient and surprising way!
DON'T BE AFRAID of the Table up to 99 × 99. It's far easier than mastering CHESS12:36
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.

Chapter 1. The Expansion of the Base Multiplications.8:59
The base multiplication facts allow us to solve series of multiplication problems in one step.
Chapter 2. Small difference between the multiplicand and multiplier.17:22
Apply the small difference method to multiply numbers by using their average and the square of the average, memorize the first 99 squares, and use algebraic shortcuts to simplify products.
Chapter 3. Multiplying by multiples of 5.1:52
Chapter 4. Multiplying by special numbers.30:37
Chapter 5. Multiplying by multiples of 11.9:03
Explore mental multiplication with multiples of 11, using the casting out nines technique, algebraic shortcuts, and case-based rules to estimate and verify products.
Chapter 6. Multiplicand and multiplier bounded to a2+b2=10.7:05
Learn two-step algebraic shortcuts for quick multiplication when a2+b2=10, with practice cases and negative adjustments illustrated in chapter six.
Chapter 7. Referential multiplication with F=00.1:35
Chapter 8. Referential multiplication with product ended in 99 or 89.3:03
Explore referential multiplication with products ending in 99 or 89 using amplification factor near 100, derive multiplication facts, and apply algebraic shortcut number eight in mental multiplication.
Chapter 9. When the multiplicand or multiplier end in a 1 or 9.2:22
Explore mental multiplication techniques for endings in 1 or 9, using algebraic shortcuts and memorized one-digit multipliers to efficiently multiply two-digit numbers by one-digit numbers.
Chapter 10. Multiplying an even number by a number slightly less than 50.2:33
Explore mental multiplication of even numbers and multiples of four by numbers slightly less than 50, 25, 50, and 75. Practice sequences and memorize multiples of 14 and 16.
Chapter 11. Multiplying a even number by a number near to its one-fourth.1:50
Learn to multiply an even number by a value near its one fourth using two steps: half of the first factor, double the second factor, then apply the shortcut.
Chapter 12. Effect of adding the same quantity to both factors.7:23
Explore how adding the same quantity to both factors affects products, using referential and conjugate multiplications, symmetry properties, and algebraic shortcuts to solve mental math problems.
Chapter 13. Effect of increasing a factor and decreasing the other factor by 1.1:42
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.
Chapter 14. Effect of interchanging the last digits of both factors.1:25
Explore how interchanging the last digits of both factors yields a reference multiplication. Apply an easy reference or algebra shortcut number one with 14.
Chapter 15. Deducing a multiplication from another through multiplying/dividing.3:50
Deduce a multiplication from another through multiplying or dividing, this chapter shows solving a problem using memorized reference fact. Explore perfect-square references and triplets in table examples for shortcut 15.
Chapter 16. Using multiplications between primes as referential multiplications.1:43
Explore how multiplications between primes serve as referential multiplication facts, solvable via algebraic shortcuts, and why memorizing these primes acts as references for many multiplication problems.
Chapter 17. When both factors have only 2’s and 3’s in their prime factorization2:32
Apply prime factorization to derive many multiplication facts from twos, threes, and sevens. Memorize twos and threes and twos and sevens tables, and use algebra shortcuts for other cases.
Chapter 18. Cross multiplying.1:26
Apply cross multiplying, based on the distributive property, to two-digit numbers, outlining seven digit operations and three additions, and practice mental layout with examples like 13×12 and 41×31.
Chapter 19. Numerical relations.5:40
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.
Chapter 20. Cycles based multiplying.2:22
Explore cycles based multiplying using referential facts and cycle length of 15 to turn multiplication into addition. Memorize 3,321 facts, starting with 47's first 14, and apply to multi-digit numbers.
Glossary0:01
Multiplication Table up to 99×99 - Complete List of Table Cells2:33

Requirements

Basic knowledge of Algebra at the eighth level of Elementary School.

Description

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!

Who this course is for:

General public specially Math lovers.

Mental Multiplication for Everyone

What you'll learn

Explore related topics

Course content

Introduction4 lectures • 37min

Course Content22 lectures • 1hr 57min

Requirements

Description

Who this course is for: