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Let's first check what steps are involved in Lattice method of multiplication:
The lattice method is an alternative to long multiplication for numbers.
Step 1: Draw a table with the digits of the first factor at the top and the digits of the
second factor on the right. Create a diagonal path for the tables.
For the first cell, draw a line from the top most right corner going down to the left.
For the second cell, also draw a line from the top most right side going to the left until it reaches the last cell on its left.
Repeat this process for the remaining cells. Your table should be full of right triangles by now.
Step 2: Calculate a product for each cell by multiplying the digit at the top of the column and the digit at the right of the row. The tens digit of the product is placed above the diagonal that passes through the cell, and the units digit is put below that diagonal. If the product is less than 10, we enter a zero above the diagonal.
Step 3: In third step, we are ready to calculate the digits of the product. We sum the numbers between every pair of diagonals and also between the first (and last) diagonal and the corresponding corner of the lattice. We start at the bottom half of the lower right corner cell.
Step 4: The final product is composed of the digits outside the lattice which were just calculated. We read the digits down the left side and then towards the right on the bottom to generate the final answer.
Step 1
Draw a table with the digits of the first factor at the top and the digits of the second factor on the right. Create a diagonal path for the tables. Before the actual multiplication can begin, lines must be drawn for every diagonal path in the lattice from upper right to lower left to bisect each cell.
Step 2
Calculate a product for each cell by multiplying the digit at the top of the column and the digit at the right of the row. The tens digit of the product is placed above the diagonal that passes through the cell, and the units digit is put below that diagonal. If the product is less than 10, we enter a zero above the diagonal.
Step 3
We sum the numbers between every pair of diagonals and also between the first (and last) diagonal and the corresponding corner of the lattice. We start at the bottom half of the lower right corner cell. Below we show the first two diagonals.
Check out the carried digit which is 1. Find the sums for the rest of the diagonals.
Step 4
The final product is composed of the digits outside the lattice which were just calculated. We read the digits down the left side and then towards the right on the bottom to generate the final answer. This is the product of the original factors.
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