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same. You can get out of the difficulty, on being told you are wrong, by saying (in case you have given 9), "Yes, I see it is a nought; I thought it had a tail, so mistook it for a nine." If you have named 0 and it turns out to be 9, you can say, "Oh, I didn't notice the tail; of course I should have said nine." A LESSON IN THE CORRECT FORMATION OF A FIGURE Request a friend to write the following figures:-- 1 2 3 4 5 6 7 9 Take the paper from him and, after pretending to scrutinise the row, ask him to point out which figure he considers most imperfectly made. If he should select the 1, say, "You had better practise making that figure. Oblige me by multiplying the row by nine." When he does so the result will be 1 1 1 1 1 1 1 1 1 Then say, "After this practice you will be able to make better ones in future." If he selects the 4 request him to multiply by 36 and the result will be 4 4 4 4 4 4 4 4 4 Whichever figure he selects, mentally multiply it by 9 and request him to multiply the row by the result. If he thinks 9 the most imperfectly made figure, you, of course, tell him to multiply by 81 and the result will be all 9's. FOUR NINES PROBLEM How can four 9's be written so that they will make 100? SOLUTION. 99 9/9 AN ANSWER TO A SUM GIVEN IN ADVANCE Ask some one to start a sum in addition by writing the top line of four figures. We will suppose he writes 1912. You mentally subtract the 2 and place it before the 1, making 21,910, which figures write on a piece of paper, which you fold up and lay on the table. You then ask a second person to place four figures under the first line. Then add a line yourself, which must be a deduction of the second line from four 9's. Ask a third person to add four figures to those already written. Then add another line yourself, making it a deduction of the third person's figures from four 9's. Request a fourth person to add up the sum and tell him you have already done so, and he will find the answer on the table. The sum will appear something like this:-- 1912 7234 2765 4891 5108 --------
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