Lattice method for multiplicationAlthough the lattice method for multiplication is no longer being used right now in school, it is easy understand I will illustrate with two good examples. Study them carefully and follow the steps exactly as shown Example #1: Multiply 42 and 35 Arrange 42 and 35 around a 2 × 2 grid as shown below:
Draw the diagonals of the small squares as shown below:
Multiply 3 by 4 to get 12 and put 12 in intersection of the first row and the first column as show below. Notice that 3 is located in the first row and 4 in the first column. That is why the answer goes in the intersection. By the same token, multiply 5 and 2 and put the answer in the intersection of second row and the second column And so forth... Then, going from right to left, add the numbers down the diagonals as indicated with the arrows. The first diagonal has only 0. Bring zero down. The second diagonal has 6, 1, 0. Add these numbers to get 7 and bring it down. And so forth... After the grid is completed, what you see in red is the answer that is 1470 Example #2: Multiply 658 and 47 Arrange 657 and 47 around a 3 × 2 grid as shown below: Draw the diagonals of the small squares, find products, and put the answers in intersecting rows and columns as already demonstrated: Then, going from right to left, add the numbers down the diagonals as shown before. The first diagonal has only 6. Bring 6 down. The second diagonal has 2, 5, and 5. Add these numbers to get 12. Bring 2 down and carry the 1 over to the next diagonal. The third diagonal has 3, 0, 3, and 2. Add these numbers to get 8 and add 1 (your carry) to 8 to get 9. and so forth... After the grid is completed, what you see in red is the answer to the multiplication that is 30926 I understand that this may be your first encounter with the lattice method for multiplication. It may seem that it is tough. Just practice with other examples and you will be fine. Any questions about the lattice method for multiplication? Just contact me Need a Quick Answer to your Math Problems? Get an answer in 10 minutes or less from a math expert! Justanswer features topnotch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party
