Multiplying with straight lines
Let’s take 123 x 332 as an example –
Draw parallel lines in groups representing the number 123
Then draw intersecting lines to represent the number 332
Now, separate the groups of numbers as illustrated and count the intersections in each separate set
You get 3 9 17 13 6
Knock off the 10 of 17 and add it to the 9 on the left. Knock off the 10 of 13 and add it to the 7 on the left
Now you have 3 10 8 3 6
Again, knock off the 1 of 10 and add it to the 3 on the left
Answer 4 0 8 3 6
There are additional techniques, such as using a broad line to represent 5, but the principle remains the same. See if you can figure out why it works!
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