Difference between revisions of "Multiply Using the Line Method"
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| − | Line multiplication is sometimes called stick multiplication, and its origins are unclear, with some source claiming it comes from the Japanese,<ref>http://www.archimedes-lab.org/Maths2_Multiplication.html</ref> Chinese,<ref>http://jwilson.coe.uga.edu/EMAT6680Fa2012/Faircloth/Essay1alf/ChineseStickMultiplication.html</ref> or Vedic cultures.<ref>http://www.magicalmaths.org/oh-no-not-another-multiplication-method-vedic/</ref> It is basically the same process as the standard multiplication algorithm you are taught in school, except it is represented in a more visual way. Using the intersection of lines or sticks to represent where you multiply various place values, this method might be helpful for those learners who are more visually-oriented. | + | Line multiplication is sometimes called stick multiplication, and its origins are unclear, with some source claiming it comes from the Japanese,<ref name="rf1">http://www.archimedes-lab.org/Maths2_Multiplication.html</ref> Chinese,<ref name="rf2">http://jwilson.coe.uga.edu/EMAT6680Fa2012/Faircloth/Essay1alf/ChineseStickMultiplication.html</ref> or Vedic cultures.<ref name="rf3">http://www.magicalmaths.org/oh-no-not-another-multiplication-method-vedic/</ref> It is basically the same process as the standard multiplication algorithm you are taught in school, except it is represented in a more visual way. Using the intersection of lines or sticks to represent where you multiply various place values, this method might be helpful for those learners who are more visually-oriented. |
| − | [[Category:Multiplication and Division]] | + | [[Category: Multiplication and Division]] |
== Steps == | == Steps == | ||
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#Add up the dots in the tens place. These are the two sets of dots in the middle of the diagram. This number will be in the tens place of your answer. | #Add up the dots in the tens place. These are the two sets of dots in the middle of the diagram. This number will be in the tens place of your answer. | ||
#*For <math>34 \times 12</math>, you should count 10 dots. | #*For <math>34 \times 12</math>, you should count 10 dots. | ||
| − | #*Just like any time you add or multiply, once a digit in any place value reaches 10, you need to carry.<ref | + | #*Just like any time you add or multiply, once a digit in any place value reaches 10, you need to carry.<ref name="rf2" /> So, if you count 10 for the tens place, you would place a <math>0</math> in the tens place, and carry the 1 over to the hundreds place. |
#Add up the dots in the hundreds place. These are the dots you circled on the left side of the diagram. This number will be hundreds place of your answer. | #Add up the dots in the hundreds place. These are the dots you circled on the left side of the diagram. This number will be hundreds place of your answer. | ||
#*For <math>34 \times 12</math>, you should count 3 dots. | #*For <math>34 \times 12</math>, you should count 3 dots. | ||
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== Tips == | == Tips == | ||
| − | This method works for larger numbers as well. Just remember that each place value will have a set of lines. So, when multiplying a 3-digit by a 3-digit number, you would have three sets of lines overlapping three sets of lines, giving you nine intersections.<ref | + | This method works for larger numbers as well. Just remember that each place value will have a set of lines. So, when multiplying a 3-digit by a 3-digit number, you would have three sets of lines overlapping three sets of lines, giving you nine intersections.<ref name="rf2" /> |
== Related Articles == | == Related Articles == | ||
