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Published byFrancis Day Modified over 5 years ago

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At the end of Tutorial 2 I gave you a problem to work on independently. Watch as I use LATTICE MULTIPLICATION to solve that problem.

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Tutorial 2’s On Your Own Problem: 78 x 2 =

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First, write the larger number down.

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7 8

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Draw a rectangle below this number.

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7 8

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The larger number is made up of 2 digits, so cut the rectangle into two boxes.

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7 8

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Write the other problem number on the right of the rectangle.

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2 7 8

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Cut the boxes diagonally. For each box draw a line from the bottom left to the top right.

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2 7 8

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Now we do basic multiplication. Start with the 7. If we go down from the 7 and across from the 2 they “meet” in that first box.

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2 7 8

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7 x 2 = 1 4 Write 1 in the top half of the box and write 4 in the bottom half of the box.

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1 4 2 7 8

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Move on to the 8. If we go down from the 8 and across from the 2 they “meet” in that second box.

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2 7 8 1 4

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8 x 2 = 1 6 Write 1 in the top half of the box and write 6 in the bottom half of the box.

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1 4 1 6 2 7 8

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Extend your diagonal lines down.

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1 4 1 6 2 7 8

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Add the numbers inside the boxes. Use the diagonal lines to guide you. Start on the right with the 6 then move to the left. 6 + nothing = 6. So put a 6 on the right of the diagonal lines.

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1 4 1 6 2 7 8 6

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1 + 4 = 5. So put a 5 between the diagonal lines.

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1 4 1 6 2 7 8 6 5

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1 + nothing = 1. So put a 1 to the left of the diagonal lines.

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1 4 1 6 2 7 8 6 5 1

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That’s it! 156 is your answer. 7 8 x 2 = 1 5 6

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ON YOUR OWN Try the following problem using the rules from today’s work. The answer will be the first thing given in TUTORIAL 4.

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On Your Own Problem: 93 x 5 =

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