# How to learn Japanese Multiplication Trick?

Make money by posting Answer/Content to this topic

Author: Janmejaya Mohanty      Post Date: 17 Apr 2023
The Japanese Multiplication Trick, also known as the "Multiplication of Lines" or "Multiplication of Figures" is a method that can help you quickly multiply two-digit numbers. Here are the steps to learn the trick:

### Step 1: Break down the numbers

• Let's say you want to multiply 23 x 34. Break down each number into tens and ones place:

• 23 can be broken down into 20 (2 tens) and 3 (3 ones)

• 34 can be broken down into 30 (3 tens) and 4 (4 ones)

### Step 2: Draw lines

• Draw two vertical lines and two horizontal lines to create four boxes.

• The number of lines should be equal to the number of digits in each number.

• Label the top boxes with the tens place of each number, and the bottom boxes with the ones place of each number.

### Step 3: Multiply the numbers in the boxes

• Multiply the number in the top left box (2) by the number in the bottom right box (4). Write the result (8) in the top right box.

• Multiply the number in the top right box (0) by the number in the bottom left box (3). Write the result (0) in the bottom right box.

• Multiply the number in the bottom left box (3) by the number in the top right box (0). Write the result (0) in the top left box.

• Multiply the number in the bottom right box (4) by the number in the top left box (2). Write the result (8) in the bottom left box.

### Step 4: Add the results in each box

• Add the results in each box to get the final answer: 782.

• This method may seem complicated at first, but with practice, you can quickly master it and calculate two-digit multiplication problems mentally.

You can find many videos and online tutorials that can help you learn and practice this trick. Practice is key, so try using this method for different numbers until you feel comfortable with it. Best of Luck.
Author: Venkiteswaran      Post Date: 23 Apr 2023
The Japanese multiplication trick is a visual representation for learning multiplication easy for those children who know addition.

It is a representation by drawing parallel lines of the given two set numbers representing their place values forming a diamond or rectangular shape and counting the number of intersections to arrive at the result.

For example, if we have to multiply 21 by 13 the Japanese trick drawing will be as follows:

1. Draw 2 parallel lines (with a slight slant to the right) representing the 2 in tens and then one line parallel to these two lines a little apart representing ones in the number 21.

2. Draw a perpendicular line from the bottom intersecting the first set of two and one line set.Then draw 3 parallel lines parallel to this single line in a way intersecting the first set of 21.

The diagram will now look like a diamond. There will be four intersection points(corners of the diamond form). The left will be the hundred, the center two will be tens, and the right one will be ones.
Now count the number of intersections in each corner places. What we see is 2,7(6+1) and 3. So the answer to the multiplication question is 21X13+273.

Personally speaking, this Japanese trick for multiplication can b useful initially for understanding the concept and visually reinforcing it. The most useful and practical method will be learning the multiplication tables for doing mental multiplication fast.

There are still easy ways of solving multiplication with more digits easier than this Japanese trick.
The Japanese multiplication trick is an efficient way of multiplying numbers and the basic multiplication way taught to kids all across China. I came to know about it a few years ago, from my friend Ritwik, who had the opportunity to visit Urumqi, China as a part of a student exchange programme at his University. On seeing it first, I was astonished and perplexed as to how someone even could come up with such techniques. Japanese multiplication is, in simple terms, a visual representation of the steps of normal multiplication, shown with lines and intersections!

The technique goes like this, let us take 2 two-digit numbers for example 11 and 22. We can try the normal multiplication method we use and learnt at school and produce the result as 11*
22

22
22
-
242

However, when we use the Japanese multiplication method, we take the first number 11 and draw a pair of parallel lines diagonally. We take the second number 22 and draw two pairs of parallel lines so that they cross with the other pair of lines we drew, and intersect at a few points. Now we count the points of intersection at the corners as 2 - 4 - 2= 242!

It is a hard process to grasp at first but gets easier on practise. I wish hope you understood the process. All the best!
Find more Topics.