Japanese Multiplication With Lines

The japanese multiplication method.

Japanese multiplication with lines. 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. A three digit by three digit multiplication would take up a 3 3 section of squares. Draw sets of parallels perpendicular to the first sets of parallels corresponding to each digit of the second number. Japanese multiplication derives way to multiply things visually using the lines.

You re right i m talking about an array. Remember that numbers are represented using place value. Most of the japanese learning involves basic shapes and quantitative analysis skill to solve the problem and after having crossed one such method i couldn t help but make it a valuable post on my blog under the maths is fun section the below images will teach you multiplications using lines or japanese multiplication method taught for school kids in japan. Sounds too good to be true right.

12 means one ten and two ones 32 means three tens and two. For the zeros leave the appropriate columns blank or use a dotted line for zero. 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. Draw sets of parallel lines representing each digit of the first number to be multiplied.

Put dots where each line crosses another line. Let us see with an example 12 x 31 372 visual explanation using lines draw the equivalent lines for the digits. How to use japanese multiplication method. 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.

Let s take 12 32 as our example. Do not count anything where there is no line crossing nor intersections that include a dotted linelines that coss the dotted lines. Draw sets of parallel lines representing each digit of the first number to be multiplied the multiplicand see figs. This amazing multiplication trick possible has it s origins in japan although i have heard arguements it is a vedic math trick.

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. Those would be zeros in the later addition. 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. Here is an interesting method to visualize multiplication that reduces it to simple counting.

1 and 2 further below.