Fun way of doing multiplication with intersecting lines

In summary, the conversation discusses different methods of multiplication, including a fun graphical method from Japan and other historical methods such as the Roman numeral system and the Trachtenberg system. It also mentions the use of visual aids and the slide rule in multiplication. These methods all stem from the invention of zero and our place value system.
  • #1
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Here's a fun way to do multiplication graphically that originated in Japan:

 
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  • #2
jedishrfu said:
Here's a fun way to do multiplication graphically that originated in Japan:


Weirdly interesting.
 
  • #3
It is of course equivalent to the ordinary multiplication algorithm, just doing it graphically instead of numerically.
 
  • #4
I wonder if some gifted visual learners could do their math this way mentally.
 
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  • #5
Good method to help. I've done that and used the method to show people how multidigit multiplication works.
 
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  • #6
It's always interesting to find these alternative multiplication strategies.

Our times tables and method of multiplying is a result of our place value system with the invention of zero.

Whereas the Roman numeral system and earlier systems had to use tables of squares and the formula:

## 1/4 ((a+b)^2 - (a-b)^2) = a * b##

##3*5 = 1/4 * ( 64 - 4 ) = 1/4 * 60 = 15##

Or the Trachtenberg system of multiplying using rules to follow for each digit of the multiplier over times tables.

Or the systems created by arithmetic savants with colors and placements that we really don't understand how they do it.

But my favorite was the slide rule where you got an accurate but not exact answer so that close was good enough.
 

Related to Fun way of doing multiplication with intersecting lines

What is the "Fun way of doing multiplication with intersecting lines"?

The "Fun way of doing multiplication with intersecting lines" is a visual and interactive method for solving multiplication problems using intersecting lines. It is often used as a fun and engaging way to introduce multiplication to young students.

How does the intersecting lines method work?

In this method, two intersecting lines are drawn on a piece of paper, creating four quadrants. The numbers to be multiplied are written in the top and side quadrants. The products of these numbers are then calculated by counting the number of intersections in the remaining two quadrants.

What are the benefits of using this method?

Using intersecting lines for multiplication can help students better understand the concept of multiplication by visualizing the relationships between numbers. It also allows for a more interactive and hands-on approach to learning math.

Can this method be used for all multiplication problems?

While this method can be used for most multiplication problems, it may be more suitable for smaller numbers. For larger numbers, it may become more difficult to accurately count the intersections and may not be as efficient as traditional methods.

Are there any other similar methods for teaching multiplication?

Yes, there are other visual and interactive methods for teaching multiplication, such as using arrays or using manipulatives like counters or blocks. It is important for teachers to use a variety of methods to cater to the different learning styles of their students.

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