Line multiplication method | Japanese multiplication | Multiplication with lines

In today’s video we explore the line multiplication method also known as the Japanese method of multiplication . We multiply small and big numbers, but instead of using the regular long multiplication algorithm, we use lines to represent numbers and count their points of intersection. The multiplication examples in this animation include not only single-digit or two-digit numbers, but also three-digit numbers along with a side-by-side comparison between the conventional long multiplication method and the Japanese algorithm. To find the product of two numbers, we only need to count the intersection points of the crossing lines and write down the digits in the correct order from the right to the left (from the ones, to the tens and so on). Multiplying numbers using lines is a great alternative visual method to find the product of two numbers easily without having to worry about the times tables.
Japanese multiplication technique is not the only alternative to conventional multiplication, there are more non-traditional methods out there, such as lattice multiplication, Egyptian method, area multiplication method and Russian method.

Timestamps:
0:00 Introduction
0:23 Double-digit number times single digit number (23 x 3)
0:44 Double-digit number times double digit number (14 x 11)
1:15 Double-digit number times double digit number with regrouping (34 x 21)
1:43 Line multiplication vs conventional multiplication (312 x 134)

-------------------------------------------------------------------------------------------------------------------------------------
Support current and future projects:

------------------------------------------------------------------------------------------------------------------------------------
The video was created entirely made with manim python library:

Enjoy!

#manim #multiplication_tricks

------------------------------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------------------------------

Advantages of the method:
According to research, Japanese method of multiplication has some advantages over the conventional multiplication algorithm and greater academic impact, i.e., increased interest in mathematics [reference 1] and even significantly better academic performance [reference 2].

Some history:
Line multiplication reportedly comes from Japan and the father of the method was the mathematician Fujisawa Rikitarol who came up first with the idea back in 1900 [reference 1].

Music used in this video:

References:

[A.Tantawy]

this is so underrated, your videos are amazing man, keep going!