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38<br />

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

sometimes especially easy to solve. The same is true for 3-by-1<br />

problems:<br />

563 (500 60 3)<br />

<br />

6 <br />

500 6 3000<br />

60 6 360<br />

3 6 1 8 <br />

3378<br />

Notice that whenever the first product is a multiple <strong>of</strong> 1000,<br />

the resulting addition problem is no problem at all. This is<br />

because you do not have to carry any numbers and the thousands<br />

digit does not change. If you were solving the problem<br />

above in front <strong>of</strong> someone else, you would be able to say your<br />

first product—“three thousand . . .”—out loud with complete<br />

confidence that a carried number would not change it to 4000.<br />

(As an added bonus, by quickly saying the first digit, it gives the<br />

illusion that you computed the entire answer immediately!)<br />

Even if you are practicing alone, saying your first product out<br />

loud frees up some memory space while you work on the<br />

remaining 2-by-1 problem, which you can say out loud as<br />

well—in this case, “. . . three hundred seventy-eight.”<br />

Try the same approach in solving the next problem, where<br />

the multiplier is a 5:<br />

663 (600 60 3)<br />

<br />

<br />

5<br />

600 5 3000<br />

60 5 300<br />

3 5 <br />

1 <br />

5 <br />

3315

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