The answer is always 6174
Starting with any four digit number (that has at least two different digits) just follow the following steps:
1. Arrange the digits of the four digit number in descending/ascending order to make the largest and smallest numbers possible.
2. Subtract the smaller number from the larger one.
3. Take the answer and repeat the process.
Eventually you'll end up at 6174 or 'Kaprekar's Constant'. Just as remarkable, it never takes more than seven stages to get there.
Picking a number at random, let's try 4551, for instance.
Stage 1: 5541-1455 = 4086
Stage 2: 8640 - 0468 = 8172
Stage 3: 8721 - 1278 = 7443
Stage 4: 7443 - 3447 = 3996
Stage 5: 9963 - 3699 = 6264
Stage 6: 6642 - 2466 = 4176
Stage 7: 7641 - 1467 = 6174
@maths_sorcerer
Starting with any four digit number (that has at least two different digits) just follow the following steps:
1. Arrange the digits of the four digit number in descending/ascending order to make the largest and smallest numbers possible.
2. Subtract the smaller number from the larger one.
3. Take the answer and repeat the process.
Eventually you'll end up at 6174 or 'Kaprekar's Constant'. Just as remarkable, it never takes more than seven stages to get there.
Picking a number at random, let's try 4551, for instance.
Stage 1: 5541-1455 = 4086
Stage 2: 8640 - 0468 = 8172
Stage 3: 8721 - 1278 = 7443
Stage 4: 7443 - 3447 = 3996
Stage 5: 9963 - 3699 = 6264
Stage 6: 6642 - 2466 = 4176
Stage 7: 7641 - 1467 = 6174
@maths_sorcerer
Armstrong number
An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 3³ + 7³ + 1³ = 371.
@maths_sorcerer
An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 3³ + 7³ + 1³ = 371.
@maths_sorcerer
Teenagers texting in Thailand will send the digits 555 to indicate that something is funny. In the Thai language, 5 is pronounced as ha which when translated becomes ha-ha-ha.
@maths_sorcerer
@maths_sorcerer
A useful trick for percentages.
Did you know that x% of y = y% of x?
This can make working out percentages a much easier task. For example, try to calculate 8% of 50 in your head. Not so easy right. Now flip it and instead work out 50% of 8, I think it’s clear which is easier.
Similarly, 32% of 75 may seem difficult to calculate, but 75% of 32 seems a much easier challenge
@maths_sorcerer
Did you know that x% of y = y% of x?
This can make working out percentages a much easier task. For example, try to calculate 8% of 50 in your head. Not so easy right. Now flip it and instead work out 50% of 8, I think it’s clear which is easier.
Similarly, 32% of 75 may seem difficult to calculate, but 75% of 32 seems a much easier challenge
@maths_sorcerer
🕵️♂️ Meeting With Mathematician 🕵️♂️
(Episode :- 3)
Augusta Ada Byron(Ada lovelace ) :- She was an English mathematician who wrote an algorithm for a computing machine in the mid-1800s. She has been called “the first computer programmer.”
Ada Lovelace’s family dynamic was complicated . Her parents got separated after her birth and left England forever .Her mother insisted on having tutors teach Lovelace mathematics and science which was unusual for an aristocratic girl in the mid-1800’s as she believed that rigorous studies would prevent Lovelace from developing her fathers temperament.
Famous work:-
Ada Lovelace was always interested in scientific developments and facts.
In 1833, Lovelace was introduced to Charles Babbage through their mutual friend Mary Somerville. Later that month, Babbage showed Lovelace his prototype for his Difference engine. She was fascinated with the machine, and Babbage was impressed by Lovelace’s intellect and analytical skills. He called her “The Enchantress of Number.”
She translated Luigi Menabrea’s(Italian Engineer) article on Babbage’s Analytical Engine. She published her notes on the Analytical engine, which ended up being 3x longer than the article and more extensive than the article itself. Because of her written work, Lovelace is considered by many the first computer programmer, and her method is called the world’s first computer program.
Previous Episode:- here 😇
Join @maths_sorcerer ❣️❣️
(Episode :- 3)
Augusta Ada Byron(Ada lovelace ) :- She was an English mathematician who wrote an algorithm for a computing machine in the mid-1800s. She has been called “the first computer programmer.”
Ada Lovelace’s family dynamic was complicated . Her parents got separated after her birth and left England forever .Her mother insisted on having tutors teach Lovelace mathematics and science which was unusual for an aristocratic girl in the mid-1800’s as she believed that rigorous studies would prevent Lovelace from developing her fathers temperament.
Famous work:-
Ada Lovelace was always interested in scientific developments and facts.
In 1833, Lovelace was introduced to Charles Babbage through their mutual friend Mary Somerville. Later that month, Babbage showed Lovelace his prototype for his Difference engine. She was fascinated with the machine, and Babbage was impressed by Lovelace’s intellect and analytical skills. He called her “The Enchantress of Number.”
She translated Luigi Menabrea’s(Italian Engineer) article on Babbage’s Analytical Engine. She published her notes on the Analytical engine, which ended up being 3x longer than the article and more extensive than the article itself. Because of her written work, Lovelace is considered by many the first computer programmer, and her method is called the world’s first computer program.
Previous Episode:- here 😇
Join @maths_sorcerer ❣️❣️
I ordered a 9-inch Pizza. After a while, the waiter brought two 5-inch pizzas and said, the 9-inch pizza was not available and he was giving me two 5-inches Pizzas instead, and that I am getting 1 inch more for free! I requested the waiter to call the owner.
I gave him the mathematical formula ,
Circle Area = πr²
r is the radius of the circle. So, a 9-inch circle area = 63.62 sq.in. while
where π = 3.1415926,
A 5-inch circle area is 19.63 sq.in.
The two 5-inch circle areas add up to 39.26 sq.in.
said that even if he gave three pizzas, I would still lose-out.
"How can you say you are giving me an extra inch for free?"
The owner was speechless. He finally gave me 4 pizzas.
Take Maths seriously!
@maths_sorcerer
I gave him the mathematical formula ,
Circle Area = πr²
r is the radius of the circle. So, a 9-inch circle area = 63.62 sq.in. while
where π = 3.1415926,
A 5-inch circle area is 19.63 sq.in.
The two 5-inch circle areas add up to 39.26 sq.in.
said that even if he gave three pizzas, I would still lose-out.
"How can you say you are giving me an extra inch for free?"
The owner was speechless. He finally gave me 4 pizzas.
Take Maths seriously!
@maths_sorcerer
Forwarded from 🇮🇳🇮🇳 Wrestling With MATHS 🇮🇳🇮🇳 ((●'◡'●)⇉ ∰ ∆ʙɧïŋäʋ $ɦ∐ʞʟã ⇇(●'◡'●))
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Maths Sorcerer 🎩 pinned «I ordered a 9-inch Pizza. After a while, the waiter brought two 5-inch pizzas and said, the 9-inch pizza was not available and he was giving me two 5-inches Pizzas instead, and that I am getting 1 inch more for free! I requested the waiter to call the owner.…»