Have You Tried

Lattice Multiplication!


Have you taught your students to multiply with lattice multiplication?  If not, they're missing out on a visual approach that most students seem to get and enjoy!  Here's a couple of examples to see how it works.


Let's Multiply 38 X 42 the Lattice Way


  • Draw a 2-row 2-column box grid as shown in picture below. grid
  • Write the first number across the top and the second number down the right side of the grid as shown.
lattice multiplication
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  • Now draw diagonal lines on each of the small squares as seen in the picture below.
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  • Now here comes the multiplication part.
  • Multiply the first digit of number across the top by the first digit of the number down the side of grid. So for our example, we multiply the 3 times 4 and get 12.
  • Place the result in the box as pictured.
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  • Next multiply the second digit of the number across the top of the grid by the same first digit of the number on the right side of the grid.
  • Place the result in the boxes as shown.
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  • Now multiply the first digit of number across the top by the Second digit of the number down the side of grid.
  • Place the results in the boxes as pictured below.
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  • Now multiply the second digit of number across the top by the Second digit of the number down the side of grid.
  • And now write your result in the boxes. You can see our example below.
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  • Now add diagonally along the yellow arrows.
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  • To get the answer, read or write the numbers down the left side and then across the bottom.
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How about that! Pretty Cool, huh!  Why don't you give it a try and see how you like it.  Now how about trying it out with your own set of two digit numbers.


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