Digital Root Stability. Effective trick and its solution

EFFECTIVE FOCUSES AND THEIR CLUES
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Digital Root Stability. Focus secret

Spectacular tricks and their clues

Directory / Spectacular tricks and their clues

Focus Description:

Let's take some number digital root which is equal to 9; we form the second number from it by rearranging the digits; rearranging the numbers again, we get the third number and we will continue like this until we write as many numbers as we please. Adding all these numbers, we get a number whose digital root will also be equal to nine. Similarly, if a number with a digital root of 9 is multiplied by an integer, then the digital root of the product will be 9.

Focus secret:

Using this stability property of the root with respect to addition and multiplication, many tricks can be invented. Suppose, for example, that you have found a banknote, the serial number of which has nine as its digital root. Save it until you have an opportunity to perform the trick.

Have someone write down a few numbers at random, then, as if remembering something, take the money note out of your pocket and suggest to the viewer that instead it's better to rewrite its serial number - a convenient way, you explain, of choosing arbitrary numbers.

Next, the viewer rearranges the numbers several times, while receiving more and more new numbers, adds them up without showing his calculations, multiplies the answer by any integer that comes to his mind and, finally, circles one of the digits of the result. After the rest of the numbers are called in any order, you can tell him the marked number.

You can demonstrate this trick in another way, starting with the numbers included in the date of the demonstration of the focus, i.e. the ordinal number of the month, day of the month and year. When writing the year, you will have a choice: either take the last two digits, or all four. Approximately two days out of every nine (belonging to the record of the year) are suitable for the formation of a number whose numerical root is nine. On one of those days, you can perform this trick.

Let's say your date is March 29, 1958. Have someone write it down as 29.3.58/XNUMX/XNUMX. Since this group of numbers has a nine as its digital root, you can continue as in the money-paper trick just described, or choose another procedure that does not change the digital root.

Author: M.Gardner

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