Japanese Multiplication By Lines

1 and 2 further below.

Japanese multiplication by lines. Line multiplication is sometimes called stick multiplication and its origins are unclear with some source claiming it comes from the japanese chinese or vedic cultures. For the zeros leave the appropriate columns blank or use a dotted line for zero. A viral tiktok video shows an old unique way to multiply using sticks. X research source it is basically the same process as the standard multiplication algorithm you are taught in school except it is represented in a more visual way.

How to use japanese multiplication method. It may come from china japan or somewhere else. Whatever the roots. Those would be zeros in the later addition.

Japanese multiplication derives way to multiply things visually using the lines. This multiplication works better for all the two digit multiples and multiplicand. Sounds too good to be true right. 12 means one ten and two ones 32 means three tens and two.

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. The origins of the multiplication method aren t clear. Draw sets of parallel lines representing each digit of the first number to be multiplied the multiplicand see figs. Do not count anything where there is no line crossing nor intersections that include a dotted linelines that coss the dotted lines.

The japanese multiplication method. Here is an interesting method to visualize multiplication that reduces it to simple counting. In the japanese multiplication method we are able to complete a multiplication problem by merely drawing a few lines and counting the points of intersections. Put dots where each line crosses another line.

Draw sets of parallel lines representing each digit of the first number to be multiplied. You re right i m talking about an array. A three digit by three digit multiplication would take up a 3 3 section of squares. Let us see with an example 12 x 31 372 visual explanation using lines draw the equivalent lines for the digits.

Draw sets of parallels perpendicular to the first sets of parallels corresponding to each digit of the second number. Remember that numbers are represented using place value. This amazing multiplication trick possible has it s origins in japan although i have heard arguements it is a vedic math trick. However you never know when you ll need to do quick math and the japanese multiplication method also called multiply by lines can help you figure out the answer simply by counting.