Amazing facts about Mathematics 

Let's dive deep into the ocean of mathematics and explore some of the coolest and mind-blowing facts about this wonderful subject.

There is also a bonus fact for you all at last. So enjoy reading this till last.

So, here we go.

1.Google is all about Mathematics.

• The lifeline of today's time Google derived its name from the word ‘Googol’.
• A ‘Googol' is a mathematical term for a number 1$1$ followed by 100$100$ zeros, which reflect infinite amount of search on the internet.

Representation of a Googol —

Let me tell you something about Googolplex also.

A googolplex is 1 followed by googol zeroes.

• There is not enough room in this world to write out a Googolplex.
• If you wrote it out and published it in a volumed series of books, it would weigh more than the entire planet.

2. Shuffling Cards

If you shuffle a deck of cards properly, it's more than likely that the exact order of cards which you obtain has never been seen before in the whole history of universe.

3. Let's explore the magic of number 9.$9.$

$\mathrm{<br>}$

Take any number of your choice and multiply it with 9.$9.$ Just add all the digits of the resultant number till you get a single digit. You will always get 9$9$as your answer.

Examples—

• 45$45$x9=405|4+0+5=9$9=405|4+0+5=9$
• 63$63$x9=567|5+6+7=18|1+8=9$9=567|5+6+7=18|1+8=9$
• 216$216$x9=1944|1+9+4+4=18|1+8=9$9=1944|1+9+4+4=18|1+8=9$
• 841$841$x9=7569|7+5+6+9=27|2+7=9$9=7569|7+5+6+9=27|2+7=9$
• 675$675$x9=6075|6+0+7+5=18|1+8=9$9=6075|6+0+7+5=18|1+8=9$

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4. Actual Unit of Time

Yes, I know that you all know unit of time i.e. hours,minutes,seconds$hours,minutes,seconds$ and even unit of time smaller than second i.e. millisecond(10$millisecond(10$^(−3)sec),microsecond(10$(-3)sec),microsecond(10$^(−6)sec)$(-6)sec)$etc.

But, do you know what is 1100$\frac{1}{100}$part of a second?

Answer is “jiffy”

• Jiffy is the actual unit of time for 1100th$\frac{1}{100}th$ of a second.

1Jiffy=1100seconds$1Jiffy=\frac{1}{100}seconds$

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5. Nature loves Fibonacci Sequences.

Spiral shape of sunflower follows the Fibonacci sequence,where adding two preceding number in the sequence gives you the next.

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6. Multiplying ones(1) always gives you palindromic numbers.

• You will always get a palindromic number when you multiply any sequences of ones(1).

Example—

• 1$1$ x 1=$1=$ 1$1$
• 11$11$ x 11=121$11=121$
• 111$111$ x 111=12321$111=12321$
• 1111$1111$ x 1111=1234321$1111=1234321$

You can observe in the above results that our obtained number is starting from 1$1$ reaches to a maximum value and again ends at 1$1$.

This way you can obtain a largest palindromic number starting from 1$1$ reaching to a maximum value 9$9$ and then again ending at 1.$1.$

See this—

• 111,111,111$111,111,111$ x 111,111,111=12,345,678,987,654,321$111,111,111=12,345,678,987,654,321$

Isn't this amazing?

Note : For anyone who is unaware of Palindromic Numbers,

Palindromic Numbers:- Numbers that remain same when the digits are reversed.

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7. Roman Numerals were invented as a means of Trading.

• This form of record-keeping was used as a means for Romans to easily price different goods and services.
• After the fall of Roman Empire, Roman Numerals still continued to be used throughout the Europe.
• Roman Numerals are represented by 7 different letters: I, V, X, L, C, D and M.

Okay! Since, we are talking about Roman Numerals, I want to tell you about one more cool and unanswered fact about Roman Numerals —

Zero is the only number which cannot be represented in Roman Numerals.

• There are total of zero zeros in Roman Numerals.
• Aristotle decided zero wasn't a number because you cannot divide a number by 0.$0.$
• According to Romans, no numeral existed for 0$0$ because there was no need for a numeral to represent it.
• Instead of a Roman Numeral, a Latin word “nulla” would be used to represent0.$0.$ Might be because zero would represent null for them.

8. Happy Numbers

Can you imagine? Numbers can be happy too!

A happy number is defined by the following process—

• Starting with any positive integer, replace the number by the sum of the squares of its digits.
• Repeat this process until the number equals 1.$1.$
• Those number for which this process ends in 1$1$ are happy numbers.

How can I forget to give you an example! Just see this—

Example—

• Taking 19$19$ as the starting number.
• 1²+9²=82$1²+9²=82$
• 8²+2²=68$8²+2²=68$
• 6²+8²=100$6²+8²=100$
• 1²+0²+0²=1$1²+0²+0²=1$

Yes! The process is ending in 1$1$ for the number 19$19$.

Therefore, 19$19$is a happy number 😁.

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9. 6$6$ Weeks = 10! Seconds

Here ‘!’ represents symbol of factorial.

• 10!seconds=10∗9∗8∗7∗6∗5∗4∗3∗2∗1$10!seconds=10\ast 9\ast 8\ast 7\ast 6\ast 5\ast 4\ast 3\ast 2\ast 1$ =$=$ 3,628,800seconds.$3,628,800seconds.$
• 3,628,800seconds=60,480minutes.$3,628,800seconds=60,480minutes.$
• 60,480minutes=1,008hours.$60,480minutes=1,008hours.$
• 1,008hours=42days.$1,008hours=42days.$
• 42days=6weeks.$42days=6weeks.$

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10. −40$-40$ is the only temperature which is same in both Fahrenheit and Celsius.

So, there is no need of conversion.

Proof—

C=59(F−32)$C=\frac{5}{9}(F-32)$

Keeping the value of F$F$ as −40$-40$

C=59(−40−32)$C=\frac{5}{9}(-40-32)$

C=−40$C=-40$

So, −40$-40$ temperature is same in both Fahrenheit and Celsius.

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11 : The sum of consecutive odd numbers starting from 1 always results in a perfect square.

• 1+3=4$1+3=4$
• 1+3+5=9$1+3+5=9$
• 1+3+5+7=16$1+3+5+7=16$
• 1+3+5+7+9=25$1+3+5+7+9=25$
• 1+3+5+7+9+11=36$1+3+5+7+9+11=36$

and so on……..

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Bonus Fact 12 : William Shank calculated π$\pi$ to 707th$707th$ decimal place but made a mistake on the 528th$528th$ digit.

Surprised!!! Yes, this is true.

• Amateur Mathematician William Shank(1812 - 1882) spent a good part of his life calculating this mathematical constant by hand.
• Shank never found out about his mistake as it wasn't revealed until after his death.

Thank you for reading us.