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How to Multiply


After the multiplication facts are learned, the next step is to multiply larger numbers.
Let’s look at several methods including the Lattice method.

Traditional Method:
Step 1.

Multiply the ones. ( 4 x 2 =8)

3 4
X 2
---------------
...8 (The periods in front of the eight and any other number in this article can be ignored. They are for formatting purposes only)

Step 2.
Multiply 2 by the tens place. Notice the 6 is written in the tens place because you are actually multiplying 30 x 2 = 60 and thus end up with 6 tens.

3 4
x 2
----------------
6 8
We’re done!

Example 2
Multiply 8 x 7 = 56. since the largest number any place value can hold is 9, we must leave the six in the ones place, but carry the 5 to the tens place. Notice the”+” in front of the five to remind us to add it later.

+5
.. 3 8
X 7
----------------
... 6

Step 2
Multiply 7 times the tens place and add the number carried in the last step.
(7 x 3 = 21 + 5 = 26 tens)
Again, the answer is larger than 9, so write the 6 in the tens place. Since, there is no place to carry the 2, place it in front of the 6.

+5
..3
8
X 7
----------------
266
We’re done!


Now, let’s multiply a two-digit number by a two-digit number.

One Way: This method uses the expanded notation.
(Ignore the periods in front of the numbers. They are for formatting purposes only.)
5 6
x 4 3
-------
…18 < --- 6 x 3
..150 < --- 50 x 3
..240 < --- 6 x 40
2000 < --- 50 x 4
--------
2408 < --- (Add 18 +150 + 240 + 2000)


Traditional Method:

Step 1

+1
..5 6

X 4 3
----------
168 < --- 56 x 3

Step 2
+2
.. 5 6
X 4
3
------------
168 < --- 56 x 3
2240 < --- 56 x 40
--------
2408 < ---- (168 + 2240)





Lattice Method
Let’s use the same factors, 56 x 43





Write factors outside of the box.
Box a – enter answer for 5 x 4 = 20
Box b – enter answer for 6 x 4 = 24
Box c – enter answer for 5 x 3 =15
Box d – enter answer for 6 x 3 = 18

Look below:










Next, Add numbers in the diagonals.








The answer is 2,408
56 x 43 = 2,408


Which method do you prefer?


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Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

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