In the example shown, the result of the multiplication of 5.8 and 2.13 is 12.354. (See picture for Step 4.) The grid diagonal through the intersection of these two lines then determines the position of the decimal point in the result. To find the position of the decimal point in the final answer, one can draw a vertical line from the decimal point in 5.8, and a horizontal line from the decimal point in 2.13. For example, to multiply 5.8 by 2.13, the process is the same as to multiply 58 by 213 as described in the preceding section. The lattice technique can also be used to multiply decimal fractions. Step 3 Multiplication of decimal fractions In the example shown, the result of the multiplication of 58 with 213 is 12354.

Numbers are filled to the left and to the bottom of the grid, and the answer is the numbers read off down (on the left) and across (on the bottom). If the sum contains more than one digit, the value of the tens place is carried into the next diagonal (see Step 2). Each diagonal sum is written where the diagonal ends. Step 1Īfter all the cells are filled in this manner, the digits in each diagonal are summed, working from the bottom right diagonal to the top left. If the simple product lacks a digit in the tens place, simply fill in the tens place with a 0. Write their product, 10, in the cell, with the digit 1 above the diagonal and the digit 0 below the diagonal (see picture for Step 1). In this case, the column digit is 5 and the row digit is 2. After writing the multiplicands on the sides, consider each cell, beginning with the top left cell. Then each cell of the lattice is filled in with product of its column and row digit.Īs an example, consider the multiplication of 58 with 213. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down). Method Ī grid is drawn up, and each cell is split diagonally. It is still being taught in certain curricula today. The method had already arisen by medieval times, and has been used for centuries in many different cultures. It is mathematically identical to the more commonly used long multiplication algorithm, but it breaks the process into smaller steps, which some practitioners find easier to use. Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two multi-digit numbers.

Lattice multiplication video kids