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# Maths Facts

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## Klaviola Harizaj

on 28 January 2016

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#### Transcript of Maths Facts

Math Facts
Klaviola Harizaj
I. The word ‘mathematics’ derives from a word ‘mathema’ which in Greek means learning, study, science

II. The word ‘Mathematics’ is an anagram of ‘me asthmatic’. An anagram is a phrase or a word that is formed by either re-arranging or interchanging the letter of other words or a phrase.

III. Four is the only number that has the same number of English letters as the number itself!

111,111,111
x
111,111,111
=
12345678987654321
If you write out pi to two decimal places, backwards it spells “pie”.
The word hundred is derived from the word “hundrath”, which actually means 120 and not 100.
Zero is the only number that can’t be represented in Roman numerals.
The most popular favourite number is 7.
Nearly 3000 people, around 10% of the total asked, chose 7 as their favourite number in an online poll .
The second most popular was 3.
7 also shows up a lot in human culture
We have seven deadly sins, and seven wonders of the world.
Not to mention colours of the rainbow, pillars of wisdom, seas, dwarves, days in the week…
10! seconds is exactly 6 weeks.
RULE 11
To multiply any two digit number by 11:
 For this example we will use 54.
 Separate the two digits in you mind (5__4).
 Notice the hole between them!
 Add the 5 and the 4 together (5+4=9)
 Put the resulting 9 in the hole 594.
Thats it! 11 x 54=594
 If the result of the addition is greater than 9
 You only put the "ones" digit in the hole and carry the "tens" digit from the addition.
 For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
Age Calculation Tricks:

 Step1: Multiply the first number of the age by 5.
Step2: Add 3 to the result.
Step4: Add the second digit of the number
with the result.
Step5: Subtract 6 from it.
Trick
Step1: Think of a number below 10.
 Step2: Double the number you have thought.
 Step3: Add 6 with the getting result.
 Step4: Half the answer, that is divide it by 2.
 Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.

Take any four digit number, follow these steps, and you’ll end up with 6174
1. Choose a four digit number (the only condition is that it has at least two different digits).
2. Arrange the digits of the four digit number in descending then ascending order.
3. Subtract the smaller number from the bigger one.
4. Repeat.
Eventually you’ll end up at 6174, which is known as Kaprekar’s constant. If you then repeat the process you’ll just keep getting 6174 over and over again..
0.999999=1

x=0.999999
10x=9.999999
subtract each side
9x = 9
x=1
1/3=0.333
3x 1/3=3x 0.333
1=0.999
Fermat’s Last Theorem
Remember Pythagoras’ theorem from school? It has to do with right-angled triangles, and says that the sum of the squares of the two shortest sides are equal to the square of the longest side (x squared + y squared = z squared). Pierre de Fermat’s most famous theorem is that this same equation is not true if you replace the squared with any number greater than 2 (you could not say x cubed +y cubed = z cubed, for example), as long as x, y, and z are positive whole numbers.As Fermat himself wrote: “I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.” That’s really too bad, because while Fermat posed this problem in 1637, it went unproven for quite a while. And by a while, I mean it was proven in 1995 (358 years later) by a man named Andrew Wiles.

The 4-Color Theorem
The 4-Color Theorem was first discovered in 1852 by a man named Francis Guthrie, who at the time was trying to color in a map of all the counties of England (this was before the internet was invented, there wasn’t a lot to do). He discovered something interesting—he only needed a maximum of four colors to ensure that no counties that shared a border were colored the same. Guthrie wondered whether or not this was true of any map, and the question became a mathematical curiosity that went unsolved for years.In 1976 (over a century later), this problem was finally solved by Kenneth Appel and Wolfgang Haken. The proof they found was quite complex and relied in part on a computer, but it states that in any political map (say of the States) only four colors are needed to color each individual State so that no States of the same color are ever in contact.
Euler’s Formula
is how it manages to combine five of the most important numbers in all of math (e, i, pi, 0, and 1) into such an elegant equation. It has been called by physicist Richard Feynman “the most remarkable formula in mathematics”, and its importance lies in its ability to unify multiple aspects of math.
Thank you for watching
s
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