Wednesday 24 April 2013

Chapter 6. Finding The Key Numbers For Centuries (First Two Digits In A Year)

There are basically two ways to find the key numbers for the first two digits in a year. One is a basic way and another one is a quick way. Basic way is lengthy to use as compared to the quick way. Still, we need to know the basic steps before using the quick steps since the quick steps are derived from the basic steps only.

So, let's discuss them one after another.

BASIC STEPS:

STEP 1. Divide the first two digits in a year (19 in case of year 1990) by 4 and find the remainder.

STEP 2. Multiply the remainder by 5.

STEP 3. Divide the above multiplication by 7 and find the remainder. The remainder obtained is the key number for that century.

Example: Let’s find the century key number for year 1990.

While finding the century key number we will consider first two digits only from the year (in this case first two digits are 19). So, now we will follow our basic steps:

STEP 1. Divide 19 by 4 and find the remainder.

Find the multiples of 4 till we get a number which is greater than or equal to 19.
So, we will go one step back i.e. 4 x 4=16. Now, subtract 16 from 19. We get 19-16=3 i.e. our remainder when 19 is divided by 4… 

To find remainder using calculator when 19 is divided by 4, we will first divide 19 by 4 and we get 4.75…We will consider digits before decimal point i.e. 4. Now we will multiply 4 by 4 (digit before decimal point) and we get 16 (4 x 4=16). To find remainder when 19 is divided by 4 we subtract our multiplication (16) from 19 we get 3 (19-16=3)… And this is our remainder!

STEP 2. Multiply 3 (remainder) by 5.

3 x 5=15.

STEP 3. Divide 15 (Multiplication) by 7 and find the remainder.

Find the multiples of 7 till we get the number greater than or equal to 15.
7 x 2=14
So, we will go one step back i.e. 7 x 2=14. Now we will subtract 14 from 15 and we get 1 (15-14=1). And this is our remainder.

To find remainder using calculator when 15 is divided by 7, we will first divide
15 by 7 and we get 2.5… We will consider digits before decimal point i.e. 2. Now we will multiply 7 by 2 (digit before decimal point) and we get 14 (7 x 2=14).To find remainder when 15 is divided by 7 we subtract our multiplication (14) from 15 we get 1 (15-14=1)… And this is our remainder.

And remainder thus obtained i.e. 1 is the required key number for century number i.e. 19…

Well, well, well now you must be thinking that there are so many calculations we have to do while finding the key number for century… You are right! But, I am going to share with you few results I have concluded that will make you totally skip the above calculations…!!!

Check them below under QUICK STEPS… :)

QUICK STEPS:

Case 1. Suppose our century number is 16 (as in year 1647). Then after calculations done like in BASIC STEPS we will get century key number for 16 as 0… (You can calculate it if you want.)

Case 2. Suppose our century number is 17 (as in 1785). Then after calculations done like in BASIC STEPS we will get century key number for 17 as 5

Case 3. Suppose our century number is 18 (as in year 1890). Then after calculations done like in BASIC STEPS we will get century key number for 18 as 3

Case 4. Suppose our century number is 19 (as in 1950). We have already calculated century key number for 19 as 1

Case 5. Suppose our century number is 20 (as in year 2002). Then after calculations done like in BASIC STEPS we will get century key number for 20 as 0

Case 6. Suppose our century number is 21 (as in 2140). Then after calculations done like in BASIC STEPS we will get century key number for 21 as 5

Case 7. Suppose our century number is 22 (as in year 2250). Then after calculations done like in BASIC STEPS we will get century key number for 22 as 3

Case 8. Suppose our century number is 23 (as in 2360). Then after calculations done like in BASIC STEPS we will get century key number for 23 as 1

Now what we observe is, the sequence 0, 5, 3, 1 is repeating..So, all we will have to do is, remember this sequence: 0, 5, 3, 1 (respective to century numbers 16, 17, 18, 19…). This sequence will repeat again and again…

That is to it…!!

Now you don’t have to follow BASIC STEPS… You can rely upon QUICK STEPS only, provided you select the key number for century correctly as per the sequence… :)

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Wednesday 17 April 2013

Chapter 5. Key Numbers For Months

MONTH
KEY NUMBER
January
1
February
4
March
4
April
0
May
2
June
5
July
0
August
3
September
6
October
1
November
4
December
6

You will have to remember all above key numbers for months as they are. You must be finding it difficult to remember all these key numbers. But don’t worry I will share with you my method to remember them.

So, let’s get started… First of all I have divided all 12 months into 4 groups
as:
1st Group: January, February, March and April.
2nd Group: May, June, July and August.
3rd Group: September and October.
4th Group: November and December.

Now, we will take each group one by one.

1st Group:
January: It is always the 1st month of the year so it’s key number is 1
February: 4 letters in January & February are common i.e. “uary”. Therefore, key number for February is 4
March: Let’s say February & March are siblings as they always stick together.
So, March will also have the same key number as February i.e. 4
April: If we subtract key number of March from the key number of February, we will get the key number for April i.e. 4-4=0

2nd Group:
May: Now May is the first month of our 2nd group. So, its key number will be 2
June: June comes after 5th month (May). So, its key number will be 5...
July: June contains 4 letters and July also contains 4 letters. So, if we do
4-4, we get 0 i.e. the key number for July…
August: If we subtract key number of May (i.e. 2) from key number of June (i.e. 5), we will get key number for August i.e. 3 (5-2=3)…

3rd Group:
September: In Latin Septem means 7… We will subtract 1 from 7 and we get 6 i.e. key number for September…
October: In Latin Octo means 8… We will subtract Septem i.e. 7 from 8 and we get 1 i.e. key number for October…

4th Group:
November: November is the first member of our 4th group. So its key number will be 4...
December: In Latin Decem means 10. If we subtract key number for November i.e. 4 from 10 (Decem) we get 6 i.e. the key number for December (10-4=6)…

Simple… Isn't it…??? Go, through above steps again and see if you can remember these key numbers correctly… By the way, you must… :)

Anyway, this is the method I use to remember key numbers for months… You can develop your own and use it…!!

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Thursday 11 April 2013

Chapter 4. Multiplication Table For 5 And 7, Key Numbers For Week Days

Now, let's move to the next multiplication table i.e. for 5.

MULTIPLICATION TABLE FOR 5
MULTIPLICATION
SUMMATION
RESULT
5 x 0
0
00
5 x 1
5
05
5 x 2
5 + 5
10
5 x 3
5 + 5 + 5
15
5 x 4
5 + 5 + 5 + 5
20
5 x 5
5 + 5 + 5 + 5 + 5
25
5 x 6
5 + 5 + 5 + 5 + 5 + 5
30
5 x 7
5 + 5 + 5 + 5 + 5 + 5 + 5
35
5 x 8
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
40
5 x 9
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
45
5 x 10
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
50

What you see?
Yes, all first digits in RESULT column are following a particular sequence i. e. 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, and so on.. While all the 2nd digits in the same column are repetitive occurrence of 0, 5.

So, let's find 5 x 7 then-
1st digit: 0, 0, 1, 1, 2, 2, 3 and 3.
2nd digit: 0, 5, 0, 5, 0, 5, 0 and 5.
Therefore we get 5 x 7 = 35.

(Note: Here also we have to count from 0)

Time to move to our next, last and the most important multiplication table i.e. for 7.

MULTIPLICATION TABLE FOR 7
MULTIPLICATION
SUMMATION
RESULT
7 x 0
0
00
7 x 1
7
07
7 x 2
7 + 7
14
7 x 3
7 + 7 + 7
21
7 x 4
7 + 7 + 7 + 7
28
7 x 5
7 + 7 + 7 + 7 + 7
35
7 x 6
7 + 7 + 7 + 7 + 7 + 7
42
7 x 7
7 + 7 + 7 + 7 + 7 + 7 + 7
49
7 x 8
7 + 7 + 7 + 7 + 7 + 7 + 7 + 7
56
7 x 9
7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7
63
7 x 10
7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7
70
7 x 11
add 7,11 times
77
7 x 12
add 7,12 times
84
7 x 13
add 7,13 times
91
7 x 14
add 7,14 times
98
7 x 15
add 7,15 times
105
7 x 16
add 7,16 times
112
7 x 17
add 7,17 times
119
7 x 18
add 7,18 times
126
7 x 19
add 7,19 times
133
7 x 20
add 7,20 times
140

Well, sorry this time I don't have any trick to remember this multiplication table. All you will have to do is to learn this one by yourself.

Go to Create Multiplication Table For 5 And 7 Easily At Any Time to know how to create multiplication table for 7 easily on time..

I would like to tell you again- Take your time… Believe in yourself… If I could do, you can also do… So, prepare yourself thoroughly and then move to the next chapter… Remember one thing- fully armed and skilled warrior never loses in the war…!! :)

Till now we were preparing ourselves before diving into the actual trick. The simplest step of the trick is to find the day of week from the final result.

Key Numbers For Week Days:

When we will finish our calculations we will get the final result as one of the numbers: 0, 1, 2, 3, 4, 5 and 6. This number will decide the day of week. See the table below:


SUN
MON
TUE
WED
THU
FRI
SAT
1
2
3
4
5
6
0

Our week will start with Sunday (i.e. 1) and end with Saturday (i.e. 0 instead of 7). In case you get the result other than these 7 digits (0, 1, 2, 3, 4, 5 and 6) then it's for sure that your calculations went wrong and you have not calculated the remainder correctly when your addition was divided by 7. So, be careful while doing the calculations especially, finding the remainder.

In the next chapter, we will discuss Key Numbers For Months.

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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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