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