Chinese Multiplication With Lines
Youve just written 21 See. Figure 1 For 31 draw 3 lines perpendicular to the original set of lines.
Quickly Multiply Big Numbers The Japanese Way Math Magic Multiplication Math Methods
Performing multiplication on the abacus involves only the addition of partial products.
Chinese multiplication with lines. Draw the single digit lines. Say one wants to multiply 21 x 31. 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.
Draw the 2nd numbers first digit lines in a cross hatching direction. The number 12 is drawn as 1 line then with some space 2 lines. Then leave a space and draw one line.
Count the upper left corners intersections. Draw 2 lines leave some space and then draw 1 line. Our first step is multiplying 6 by 4 and adding the partial product on the two rods GH to the right of the multiplicand.
To multiply one counts the intersection points at the top left to ascertain how many 100sIn this case its 6. Draw the 2nd numbers 2nd digit lines lower on the line in a cross hatching direction. Since weve accounted for the 6 we reset rod F to zero.
Count far lower right corners intersections. Multiply 12 x 21 using Lines Step 1. Often times it looks like nothing more than a math trick.
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. For each number you will draw an equal number of lines. For the number 12 draw one line for the tens and two lines for the ones.
Draw the 2nd digit lines. A similar process is followed to multiply 30 by 4. The Real Reason Why It Works and Concreteness Fading Have you ever seen someone share the Japanese multiplication method on social media.
The number 13 is drawn as 1 blue line and then with some space 3 blue lines. While the user jesslouisec calls the method Japanese multiplication and some mathematicians say its Vedic multiplying its real origins arent. Youre right Im talking about an array.
The number of dots in each column can be read as the answer. The dots represent multiplications of the lines and they vertically align nicely into columns.
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