What are some interesting mathematics facts?

 

• The spiral shapes of sunflowers follow a Fibonacci sequence.

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That’s where you add the two preceding numbers in the sequence to give you the next one. So it starts 1, 1, 2, 3, 5, 8, 13, 21, etc. The Fibonacci sequence shows up in nature a fair bit.

• The Fibonacci sequence is encoded in the number 1/89.

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1/89 = 0.01 + 0.001 + 0.0002 + 0.00003 + 0.000005 + 0.0000008 + 0.00000013 + 0.000000021 + 0.0000000034 etc.

• 111,111,111 × 111,111,111 = 12,345,678,987,654,321.

It also works for smaller numbers: 111 × 111 = 12321.

• In a room of just 23 people there’s a 50% chance that two people have the same birthday.

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It’s called the Birthday problem. In a room of 75 there’s a 99% chance of two people matching.
9. Zero is the only number that can’t be represented in Roman numerals.

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The Latin word “nulla” would have been used instead.

• (6 × 9) + (6 + 9) = 69.

• We tend to think of odd numbers as male and even numbers as female.

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This ancient belief was tested by James Wilkie and Galen Bodenhausen of Northwestern University. In his latest book,Alex Bellos writes: “They showed respondents randomly assigned pictures of the faces of young babies, each next to a three-digit number that was either odd-odd-odd or even-even-even, and asked them to guess the baby’s sex […] Respondents were about 10 per cent more likely to say that a baby paired with odd numbers was a boy, than if the same baby was paired with even numbers.”

• If you shuffle a pack of cards properly, chances are that exact order has never been seen before in the whole history of the universe.

• Zero is an even number.

• There’s not enough space in the known universe to write out a googolplex on paper.

• The most popular favourite number is 7.

• That might be because 7 is “arithmetically unique”.

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It’s the only number below 10 you can’t multiply or divide and keep within group. For example, 5 you can multiply by 2 to get 10 (still within the 1-10 group).

• .999999… = 1

Here’s the proof:

If 10N = 9.9999…
Then N = .9999….
Subtract N from 10N, leaving you with 9N=9.
So then N=1. But we already know that N=.9999… as well.
So 1=.9999….

What are some mind-blowing facts about mathematics?

 

• The spiral shapes of sunflowers follow a Fibonacci sequence.

• The Fibonacci sequence is encoded in the number 1/89. 1/89 = 0.01 + 0.001 + 0.0002 + 0.00003 + 0.000005 + 0.0000008 + 0.00000013 + 0.000000021 + 0.0000000034 etc.
• Zero is the only number that can't be represented in Roman numerals.

• 10! seconds is exactly 6 weeks.

• 555 is used by some in Thailand as slang for "hahaha", because the word for "five" is pronounced "ha".
• There are just four numbers (after 1) which are the sums of the cubes of their digits. These numbers are termed as Amstong numbers.

153 = 1^3 + 5^3 + 3^3

370 = 3^3 + 7^3 + 0^3

371 = 3^3 + 7^3 + 1^3

407 = 4^3 + 0^3 + 7^3

What are some mind-blowing facts about mathematics?

 

• J and K are the only letters not in any of the numbers when written as words.
• Four is the only number that has the same number of letters as its meaning. ( F-O-U-R )

These two fractions add up to one and between them they contain all of the digits from zero to nine. It is the only way that this can be done.

• 18 is the only number that is twice the sum of its digits.
• 40 when written in words " Forty " is the only number with letters in alphabetical order, while One is the only one with letters in reverse order.
• Same Three Digit Number

1. Think of any three digit number in which each of the digits is the same. Examples include 333, 666, 777, 999.
2. Add up the digits.
3. Divide the three digit number by the answer in Step b.

• The answer is 37.
• The decimal fractions of seven are the same six recurring digits, in the same order, but starting from a different one
• 1/7 = 0.142857142857…
  2/7 = 0.285714285714…
  3/7 = 0.428571428571…
  4/7 = 0.571428571428…
  5/7 = 0.714285714285…
  6/7 = 0.857142857142…
• The number Zero does not have its own Roman numeral
• 26 is the only natural number that can be placed between a perfect square and a perfect cube.

Sources : 10 Math Tricks That Will Blow Your Mind

Mathematics Trivia

9 Mathematical facts that will blow your mind [and a delicious bonus]

What are some mind-blowing facts about mathematics?

Well ever wondered how the Surface Area of a Sphere was derived?

Well here is a great visualisation to alter your perception.

Step 1: Cut the sphere in the following way.

Step 2: Spread the cut out part across the paper

Step 3: Collate the pieces together in the following way

Step 4: Spread the areas out separately to form a sine curve

Step 5: The area of the sine curve is the surface area of the sphere

Here’s a GIF file for better understanding.

There’s of course the generic method of calculation where the surface area is calculated by cutting the sphere into infinitesimally thin disks of varying radius stacked over one another and integrating them, but this above method is a different way to look at the same problem.

Image Source: Google Images

What are some mind-blowing facts about mathematics?

 

• (6*9)+(6+9)=69 …!!
• Any two digit number ending with 9 will show this property. 69 is not the only special number which shows this property
• (4*9)+(4+9)=49 and (5*9)+(5+9)=59…and so on.
• 2520, The smallest number divisible by all integers from 1 to 10.

2520/1=2520

2520/2=1260

2520/3=840

2520/4=630

2520/5=504

2520/6=420

2520 /7=360

2520/8=325

2520/9=280

2520/10=252

• zero, is the only number that can’t be represented in Roman Numerals.

• The great creation of 6210001000

6 - zeros

2 - ones

1 - two

0 - three

0 - four

0 - five

1 - six

0 - seven

0 - eight

0 - nine

• 40 - FORTY - the only number with all letters in alphabetical order and 1 - ONE - the only number with letters in reverse order!!

• Among all the shapes with the same perimeter , CIRCLE has the largest area!

Image Source : Google

What are some mind-blowing facts about mathematics?

 “Mathematics” is not as hard as it seems to be. According to me its name should be “MATHEMAGIC” because a lot of magic is involved in solving a simple question.I would like to share some analytic way of learning the “sin”, “cos” and “tan” values .

See the picture below carefully and the angle in degree assigned to each finger of our right hand in palm up position.

Suppose ,we want to know the value of cos60 then the value will be equal to the “under root of the no. of fingers on the left side of selected finger and divide it by 2.”(as shown in figure below)

Similarly,for sin60 ,it would be equal to “under root of the no.of fingers on the right side of selected finger and divide it by 2”

For tan60 ,simply do sin60/cos60.

What are some mind-blowing facts about mathematics?

 Here are some of the mind-blowing facts about mathematics-

1.Zero ( 0 ) is the only number which can not be represented by Roman numerals.

2.The word “hundred” comes from the old Norse term, “hundrath”, which actually means 120 and not 100.

3. “Forty” is the only number that is spelt with letters arranged in alphabetical order.

4. From 0 to 1000, the only number that has the letter “a” in it is “one thousand”.

5.Zero is the only number with most number of the names. Zero is also called naught, nil, zilch, naught and zip.

6.India’s National Game Means “Twenty-Five”.

7.One of the most widespread superstitious beliefs is that the number 13 is unlucky. So common is this that many hotels and office buildings in Europe and the United States do not have a room number 13 or a floor 13.

8.The Square Root of Two is called “Pythagoras’ Constant.”

-Surely, you remember the Pythagorean Theorem from your 10th grade geometry class, but have you ever heard of Pythagoras’ Constant? Well, here’s the lowdown: The square root of 2 (1.41) is known as Pythagoras’ Constant. It’s also the first ever irrational number to be discovered.

-This all has to do with that Greek mathematician Pythagoras, and there is a fascinating history behind his famous theorem that they definitely did not teach you in high school—that Babylonian mathematicians discovered his famous theory 1,000 years before he did.

9.Six is the Smallest Perfect Number.

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors. By this rule, six is the smallest perfect number. If you scratched your head and said, “Huh?,” here’s an example to clarify:

1 + 2 + 3 = 6.

The next perfect number doesn’t occur until 28. It turns out perfection really is few and far between…

10.There’s not enough room in the world to write out a Googolplex.

A googol means 1 followed by 100 zeroes. A googolplex is 1 followed by a googol zeroes. If it’s hard to imagine how long that number would look, there’s good reason for that: to write it out would create a number that’s so huge, if you wrote it out and printed it in a volumed series of books, it would weigh more than the entire planet.

What are some mind-blowing facts about mathematics?

 Lets Talk About Infinity

Infinity is a number so large we cannot even imagine it. But are all infinities equal?

Lets visualize three sets:

A= 1+2+3+4+5+6+…. i.e. sum of all positive integers

B= 2+ 4+ 6 + 8+ …. i.e. sum of all positive even integers

C= 1+3+5+7+…. i.e. sum of all positive odd integers

All the sums approaches to infinity, but if you look carefully:

A= B+C

Thus A > B

For a long sum B and C will approach each other, i.e B ~= C

So we Can write A ~= 2 B ( Eqn 1)

Thus we can say that not all infinities are equal. The infinity from Set A is greater than infinity from Set B.

But wait,

If you look more closely each number (or object) in Set B is exactly twice of each number in Set A.

So we can write B= 2 A (Eqn 2)

But we had just proved A = 2B from Eqn 1.

So How it is possible.

It Turns out actually all infinities are equal. Infinities are such big number we cannot measure, and physically we cannot assign one Set to be bigger than other unless we measure them first.

Footnote:

Mathematicians Measure Infinities, and Find They're Equal

Image Credit: Mari Carmen Díaz Pixabay