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170<br />

Secrets <strong>of</strong> Mental Math<br />

numbers 11 and below, so you’ll be able to use this method for<br />

many problems. Here’s an example:<br />

853<br />

44<br />

<br />

(11 4)<br />

853 11 4 9,383 4 37,532<br />

To multiply 853 11, you treat 853 as 850 3 and proceed<br />

as follows:<br />

850 11 9,350<br />

3 11 33<br />

<br />

9,383<br />

Now multiply 9,383 4 by treating 9,383 as 9,300 83, as<br />

follows:<br />

9,300 4 37,200<br />

83 4 332<br />

<br />

37,532<br />

If the two-digit number is not factorable into small numbers,<br />

examine the three-digit number to see if it can be factored:<br />

144<br />

76<br />

<br />

(6 6 4)<br />

76 144 76 6 6 4 456 6 4<br />

2,736 4 10,944<br />

Notice that the sequence <strong>of</strong> the multiplication problems is a<br />

2-by-1, a 3-by-1, and finally a 4-by-1. Since these are all prob-

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