Monday 8 April 2013

Chapter 3. Let's Prepare Ourselves, Multiplication Table For 4

I would like to clear one thing. If you are really good in mathematics then you can skip this chapter or any of the steps that explain how to do some calculations that we need while using this system (formatted in italics and underlined).

If you are always going to use calculator for all the calculations then also you can skip this chapter. For calculations using calculator you can follow those steps which are formatted as underlined.

But, let me tell you one thing that it would be nice if you can do the calculations mentally. It will amaze people more if you perform this trick mentally! If you want to learn how to do calculations without using calculator then you may find this book helpful- 50 EASY WAYS TO ADD, SUBTRACT, MULTIPLY AND DIVIDE WITHOUT A CALCULATOR

At the last, if you are not that good in mathematics but willing to learn how to do calculations those we need to do while doing this trick then this chapter is meant for you. Steps for you are formatted as in italics. Take your time and learn this chapter thoroughly. It is not that difficult. All you will need to give yourself some time and have patience! 

(Note: Regular black typing is must read for all)

So, here is some exercise for you – below are the few tables you will have to learn before proceeding further.


MULTIPLICATION TABLE FOR 4
MULTIPLICATION
SUMMATION
RESULT
4 x 0
0
00
4 x 1
4
04
4 x 2
4 + 4
08
4 x 3
4 + 4 + 4
12
4 x 4
4 + 4 + 4 + 4
16
4 x 5
4 + 4 + 4 + 4 + 4
20
4 x 6
4 + 4 + 4 + 4 + 4 + 4
24
4 x 7
4 + 4 + 4 + 4 + 4 + 4 + 4
28
4 x 8
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
32
4 x 9
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
36
4 x 10
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
40
4 x 11
add 4,11 times
44
4 x 12
add 4,12 times
48
4 x 13
add 4,13 times
52
4 x 14
add 4,14 times
56
4 x 15
add 4,15 times
60
4 x 16
add 4,16 times
64
4 x 17
add 4,17 times
68
4 x 18
add 4,18 times
72
4 x 19
add 4,19 times
76
4 x 20
add 4,20 times
80
4 x 21
add 4,21 times
84
4 x 22
add 4,22 times
88
4 x 23
add 4,23 times
92
4 x 24
add 4,24 times
96
4 x 25
add 4,25 times
100

It is easy to remember the above multiplication table. Check all the 1st digits in RESULT column. They are following a particular sequence like 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6 and so on.. While all the 2nd digits in the same column are nothing but the repetitive occurrence of 0, 4, 8, 2, 6.

So, if we want to find any multiplication of 4, let's say 4 x 9 then- 
First we will find the first digit : 0, 0, 0, 1, 1, 2, 2, 2, 3 and 3That means at ninth position (started from 0) we have got a digit 3.

What about 2nd digit? 0, 4, 8, 2, 6, 0, 4, 8, 2 and 6And the result is 4 x 9 = 36.


(Note: To find the 1st or 2nd digit of the column we have to start from 0th count. For example, in this case we have started from 0 till 9)


Simple! isn't it?


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