Japanese Multiplication Limitations

When we say 3 times 2 that is the same as saying 3 groups of 2 and we can show these three groups as 3 rows and 2 columns or 3 columns and two rows.

Japanese multiplication limitations. Whatever the roots. But look in a japanese elementary textbook and multiplication is done the same way as everywhere else. Multiplication method where we multiply k with some well chosen irrational number knuth suggests using number based on golden ratio between 0 to 1 take the fractional. A viral tiktok video shows an old unique way to multiply using sticks.

It may come from china japan or somewhere else. You re right i m talking about an array. Either way this trick allo. If you take the time to play around with multiplication problems this way it s easy to see that it is really another way to transition from the the.

It is quite visual and i would argue that more complicated products could require even more work than traditional at least what i consider traditional methods. Japanese multiplication method there is a bunch of videos going around lately that seem to be very popular which demonstrate a style of japanese multiplication. In order to understand how japanese multiplication works we must start back at the good old reliable method of organizing equal groups in rows and columns. This visual math trick lets kids use lines and their intersections to see how math works and helps show that math and numbers can be fun.

Draw sets of parallel lines representing each digit of the firs. Each cluster of intersections corresponds to one of the four smaller products that go into multiplying two numbers for instance the left cluster 3 1 is what gets you the 300 or 3 hundreds. The japanese multiplication method is really just a visual way of representing those four steps. Division method where we simply do k mod m essentially picking m as prime not too close to power of 2.

With times tables and carrying. The origins of the multiplication method aren t clear. Like many other aspects of japanese math education alternate ways of solving problems are explored with good methods retained poor methods rejected and generalizations made. This amazing multiplication trick possible has it s origins in japan although i have heard arguements it is a vedic math trick.

Here is an interesting method to visualize multiplication that reduces it to simple counting. Here is a fun way for kids to play with math.