Japanese Lattice Multiplication

The number 12 is drawn as 1 line then with some space 2 lines.

Japanese lattice multiplication. I m going to do a couple of lattice multiplication examples in this video. Either way this trick allo. Multiplication of more than three digits can be tiresome complex and error prone. The lattice method is an alternative way to do multiplication that s been used since the middle ages.

Multiply 14 x 12 and 23 x 32 using the japanese multiplication method. So 86 x 67 5762 the lattice multiplication method is sometimes known as the chinese method or gelosia multiplication. It s based on a type of grid with a diagonal criss cross pattern called a lattice. This amazing multiplication trick possible has it s origins in japan although i have heard arguements it is a vedic math trick.

Some of the worksheets displayed are grade 6 math circles november 56 2013 multiplication multiplication methods characteristics of japanese mathematics lessons the soroban abacus handbook 3x2 lattice multiplication b multiplication and division of fractions 2 mental maths strategies for multiplication and division. The 2 and the 7 are going to get separate columns and you write your 48 down the right hand side and then you draw a lattice. A simple and effective way to do complex multiplication is lattice multiplication which breaks up the digits being multiplied into tables and columns. You re right i m talking about an array.

Learn how to multiply decimal numbers using the lattice method. What you do is you write down your 27. Let s say we re trying to multiply 27 times 48. For those that cannot watch the videos the method is a visual kind of lattice multiplication and or distributive multiplication with grouping of units tens hundreds etc.

And in the next one we ll try to understand why it worked. In the lattice multiplication method we read the totals from left to right and the digits that we have are 5 7 6 and 2. 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. It is mathematically identical to the more commonly used long multiplication algorithm but it breaks the process.

Here is an example. The number 13 is drawn as 1 blue line and then with some space 3 blue 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.