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84<br />

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

439<br />

52196<br />

2000<br />

<br />

196<br />

150<br />

<br />

46<br />

45<br />

<br />

1<br />

1<br />

Answer: 439 5<br />

Actually, there is a much easier way to solve this last problem.<br />

We can simplify our problem by doubling both numbers. Since<br />

2196 2 4392, we have 2196 5 4392 10 439.2 or<br />

439 2<br />

1<br />

.<br />

0<br />

We’ll see more division shortcuts in the next section.<br />

EXERCISE: ONE-DIGIT DIVISION<br />

1. 318 9 2. 726 5 3. 428 7<br />

4. 289 8 5. 1328 3 6. 2782 4<br />

THE RULE OF “THUMB”<br />

When dividing in your head instead <strong>of</strong> on paper, you may find it<br />

difficult to remember parts <strong>of</strong> the answer as you continue to calculate.<br />

One option, as you’ve seen, is to say the answer out loud<br />

as you go. But for greater dramatic effect, you may prefer, as I<br />

do, to hold the answer on your fingers and say it all together at<br />

the end. In that case, you may run into problems remembering<br />

digits greater than five if, like most <strong>of</strong> us, you have only five fingers<br />

on each hand. The solution is to use a special technique,<br />

based on sign language, which I call the Rule <strong>of</strong> “Thumb.” It is<br />

most effective for remembering three-digit and greater numbers.

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