Does Japanese Multiplication Always Work

If the number in the middle is greater than 9 do the same thing except add it to the number from the left corner.

Does japanese multiplication always work. 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. Order doesn t matter an important rule to remember with multiplication is that the order you multiply numbers doesn t matter. 7654 x 1 7654. So when we multiplied 27 so you write your 2 and your.

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. 1 x 12 12. And to see why it worked i m going to redo this problem up here then i ll also try to explain what we did in the longer problems. Infographic how to use japanese multiplication method click to enlarge sources.

Line multiplication is sometimes called stick multiplication and its origins are unclear with some source claiming it comes from the japanese chinese or vedic cultures. Multiplication calculator shows steps so you can see long multiplication work. Well let s try to understand why exactly it worked. X research source 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.

This is almost identical to how you would multiply by hand only this method saves the mental work of remembering the multiplication tables and makes it easier because you only have to count intersections. For example say you have the 22x22 example in step 2. You re right i m talking about an array. Write all those numbers down in that order and you will have your answer.

Enter multiplicand and multiplier of positive or negative numbers or decimal numbers to get the product and see how to do long multiplication using the standard algorithm. 1 x 0 0. The japanese math voodoo magic is more of a visual technique where you draw lines and count the. Japanese kids learn to multiply with a completely different method than the one kids in the us do.

It almost seemed like magic. You got to do all your multiplication first and then do all of your addition. When multiplying by 1 the answer is always the same as the number multiplied by 1. You can multiply them in any order you want and the answer will be the same.