Every time I do this for an assignment I do it wrong. How does this work.

Use lattice multiplication to find the product.


222 × 172

Please, please, tell your teacher to drop this ridiculous lattice method and teach you the popular and universally accepted way to multiply.

I still have to do this how do you do it?

The woman in this clip shows 3 ways to do the same multiplication, the lattice method is one of them

http://www.youtube.com/watch?v=Tr1qee-bTZI

thank you

Use lattice multiplication to find the product.

222 × 172

To use lattice multiplication to find the product of 222 and 172, follow these steps:

1. Draw a lattice or grid with three rows and three columns. Label the first row with the digits of the first number (222) from left to right, and label the first column with the digits of the second number (172) from top to bottom.

1 | 7 | 2
--------------
2 | |
--------------
2 | |

2. Multiply the digits in each corresponding box where the row and column intersect. Write the products in their respective boxes.

1 | 7 | 2
--------------
2 | 14 | 28
--------------
2 | 14 | 28

3. Add the numbers diagonally from right to left, starting with the bottom right box. Write the sum in the box immediately to the left and slightly above.

1 | 7 | 2
--------------
2 | 14 | 28
--------------
2 | 14 | 2

4. If there are any two-digit numbers in the lattice, carry the tens digit to the box immediately above and slightly to the left, and write the ones digit in the current box.

1 | 7 | 2
--------------
2 | 14 | 28
--------------
2 | 4 | 2

5. Add all the numbers in each row and column. Record the sum at the end of each row and at the bottom of each column.

1 | 7 | 2
--------------
2 | 14 | 28
--------------
2 | 4 | 2
---------------
2 | 18 | 20

6. Write the final answer by combining the sums from step 5 in a diagonal pattern, from right to left and top to bottom.

1 | 7 | 2
--------------
2 | 14 | 28
--------------
2 | 4 | 2
---------------
2 | 1 | 8 | 2 | 0

Therefore, the product of 222 and 172 using lattice multiplication is 38,184.