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