Lattice method multiplication series#

As shown, the product of 83 and 42 is 3486.Īs mentioned above, lattice multiplication may be extended to numbers more digits. Of course, in case the sum of the digits is more than 10, the tens digit will be carried over to the next place value of the digits of the product. The steps are very similar to the ones we use when multiplying using the vertical algorithm, but you can do all your multiplication in one step and then all. The number at the bottom-right corner is the ones digit of the product and the number at the top-left corner is thousands digit. Step 4: Add the numbers diagonally as shown below (see numbers with the same color). For example, 3 x 2 becomes 06 instead of just 6. Zero should be added to the product containing 1 digit in order to fill in both triangles. Step 3: Multiply the numbers and place the product in the corresponding squares such that the tens digit of the product is in the triangle on the left and the ones digit is in the triangle on the right. As shown below, the yellow square will contain the product of 3 and 2.

These triangles will contain the digits of the product of the two given numbers.

Lattice method multiplication series#

This is a technique where you draw a series of boxes and diagonal. Step 2: Draw diagonals on each rectangle. This forms two triangles. In this section we share the lattice form of multiplication with you. It is algorithmically equivalent to regular long multiplication, but the lattice. In this case, we want to multiply 83 by 42. Lattice multiplication is a method of multiplying large numbers using a grid. Step 1: Create 2 by 2 grid and place the numbers you want to multiply at the top and at the side as shown in the next figure.