Math Curiosities
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Mathematics Curiosities - Mathematics Quiz - Mathematics Challenge - Mathematics Commemorative dates
* International Mathematics Day is celebrated on March 14 , known as Pi Day due to the numerical representation of the date (3/14), which corresponds to the first digits of the number pi. As of 2020, by decision of UNESCO, the day began to be officially recognized to celebrate the importance of mathematics around the world. Each year has a specific theme, and celebrations include a variety of educational events and activities to promote interest and understanding of mathematics. * March 14 - March 14 day - today is March 14 - in March 14 - celebrate in March 14
Pi Approximation Curiosities - Pi Approximation Quiz - Pi Approximation Challenge - Pi Approximation Commemorative dates
* Pi Approximation Day, also known as Pi Approximation Day or Approximate Pi Day, is celebrated on July 22 . This date is a reference to the approximate value of Pi (π), which is often rounded to 3.14. Pi is a mathematical constant that represents the relationship between the circumference of a circle and its diameter. The value of Pi is an infinite, non-repeating sequence of decimal digits, and its approximation to 3.14 is often used in calculations and mathematical problems. Pi Approximation Day is an opportunity to celebrate the importance of this mathematical constant and its application in various areas of science and engineering. * July 22 - July 22 day - today is July 22 - in July 22 - celebrate in July 22
Subtraction. Curiosities - Subtraction. Quiz - Subtraction. Challenge
* Subtraction. Properties#NL# 39 - 28 = 11 (It reads: The difference between thirty-nine and twenty-eight is equal to eleven.)#NL# 39 (Additive), 28(Subtractive) and 11(Difference)#NL# Note: To check whether the subtraction is carried out correctly, the fundamental property of subtraction can be applied:#NL# The sum of the subtractive and the difference is equal to the additive.#NL# To make an estimate of a difference, we normally round the numbers to the nearest tens or hundreds.#NL# 903 + 288 = 615 (Exact value)#NL# 900 - 300 = 600 (Estimate) *
Addition. Curiosities - Addition. Quiz - Addition. Challenge
* Addition. Properties#NL# 30 + 11 = 50 (read: The sum of thirty-nine and eleven is equal to 50.)#NL# 39 and 11 are the installments and 50 is the sum.#NL# Addition properties: #NL# - Commutative: a + b = b + a#NL# Changing the order of the installments the sum does not change.#NL# 39 + 11 = 11 + 39 = 50#NL# - Associative: (a + b) + c (b + c)#NL# The sum does not change when associating the installments differently.#NL# (39 + 11) + 28 = 39 + (11 + 28) = 78#NL# - Existence of neutral elements : a + 0 = 0 + a = a#NL# o (zero) is the neutral element of addition.#NL# To make an estimate for a sum, we usually round numbers to the nearest tens or hundreds.#NL# 39 + 11 + 28 = 78 (Exact value)#NL# 40 + 10 + 30 = 80 (Estimate) *
A set Curiosities - A set Quiz - A set Challenge
* A set is a collection of distinct elements grouped into a single entity. Elements can be numbers, objects, people or anything that can be uniquely identified. Sets are represented between braces {}. Some important concepts related to sets include: Membership: An element can belong to a set. If an element is present in a set, it is said to belong to that set. Empty set: It is a set that has no elements. Subset: A set is considered a subset of another set if all its elements also belong to the larger set. Union: The union of two sets is a new set that contains all the elements of the original sets, without repetitions. Intersection: The intersection of two sets is a new set that contains only the elements common to both sets. *
A first-degree equation Curiosities - A first-degree equation Quiz - A first-degree equation Challenge
* A first-degree equation is a polynomial equation whose highest degree is 1. It is expressed in the general form: ax + b = 0, where a and b are known constants, and x is the unknown variable. The solution of a first-degree equation is a specific value of x that makes the equality true. To solve the equation: Isolation of the term with the unknown: Transfer the term containing the variable to one side of the equation, so that it remains alone. All other terms carry over to the other side. Simplification of the equation: Perform the necessary mathematical operations to simplify the equation. Variable isolation: Divide both sides of the equation by the coefficient of x to isolate the variable. Solution of the equation: The value of x that makes the equality true is obtained, called the solution of the equation. A first-degree equation has a unique solution, unless it is an identity equation, where any value of x satisfies the equality. *
A quadratic equation Curiosities - A quadratic equation Quiz - A quadratic equation Challenge
* A quadratic equation, or quadratic equation, is a polynomial equation with the highest degree equal to 2. It is represented in the general form: ax^2 + bx + c = 0, where a, b and c are constants and x is the variable unknown. There are three possible types of solutions for a quadratic equation: Two real and distinct roots: When the discriminant (∆) of the equation is greater than zero (∆ > 0), the equation has two different real roots. Two real and equal roots: When the discriminant is equal to zero (∆ = 0), the equation has two real roots that are equal, resulting in a unique solution.No real roots: When the discriminant is less than zero (∆ < 0 ), the equation has no real roots. In this case, the roots can be complex conjugate numbers. *
Malba Tahan's famous book Curiosities - Malba Tahan's famous book Quiz - Malba Tahan's famous book Challenge
* Malba Tahan's famous book, "The Man Who Counted", describes a theory known as "four fours". This technique allows the formation of any integer between 0 and 100 using only four numerals 4 and mathematical operation signs. For example, to get a “3”, just perform the operation (4+4+4)/4. *
The golden number Curiosities - The golden number Quiz - The golden number Challenge
* The golden number is a fascinating mathematical theory and one that is surrounded by myths. Represented by the Greek symbol Phi (f), this number, 1.6180, is the diagonal/side ratio of a regular pentagon and has been studied since antiquity. It indicates harmony, which is why it is present in works by Leonardo da Vinci, in constructions such as the Pyramids of Egypt and even in the size of human phalanges. *
While Curiosities - While Quiz - While Challenge
* While many young people today are looking for fun in video games or sports activities, Evariste Galois opted for a different path: furthering his studies in Mathematics. Considered one of the most brilliant thinkers in the scientific field, Galois even challenged teachers and preferred books by renowned geniuses over classes. Although he left only 60 pages of notes, his legacy was considered fundamental for the development of Mathematics. Tragically, his life came to an untimely end, for in 1832 Galois defended honor in a tragic way: he took a pistol and died in a duel. *
The Curiosities - The Quiz - The Challenge
* The professor had his students add up all the numbers from one to one hundred, and was amazed to see that young Gauss got the correct answer, 5,050, in a few seconds. What made the boy realize this account so quickly was his ability to observe and calculate that if he added the first number to the last, 1 + 100, he got 101. When he added the second number to the next to last, 2 + 99, The result was also 101. So Gauss discovered that adding all the numbers from one to one hundred was the same as adding 50 times the number 101, which is 5,050. This was the first time that he invented the formula for the sum of arithmetic progressions, as a child. Gauss, who lived between 1777 and 1855, is considered by many to be the greatest mathematical genius of all time, and is therefore known as the Prince of Mathematics. *
Approximately Curiosities - Approximately Quiz - Approximately Challenge
* Approximately 8 x 10^67 different ways can be used to sort a deck of cards. To put this in perspective, even if someone turns over a deck of cards every second since the beginning of the universe, it would still be impossible to find a repeat before the universe comes to an end. *
It Curiosities - It Quiz - It Challenge
* It is not possible to comb all the hairs on a tennis ball in the same direction. This mathematical problem is known as Henri Poincaré's theorem. It was formulated at the end of the 19th century and can be mathematically described as "there is no non-disappearing continuous tangent vector field in even-dimensional n-spheres". However, it is most easily expressed as "you can't comb a furry ball without creating a quiff". This theorem was confirmed by Brouwer in 1912, and it has an interesting consequence: on an ideal spherical planet, there is at least one point where the wind is blowing. The planet doesn't have to be perfectly spherical, but it should be continuous - meaning it shouldn't have holes or bumps in the middle. *
The number pi Curiosities - The number pi Quiz - The number pi Challenge
* The number pi is found everywhere. His involvement with circles is well known, but it also crops up in other settings. For example, the series 1/1 2 + 1/2 2 + 1/3 2 + 1/4 2 + 1/5 2 … = 1 + 1/4 + 1/9 + 1/16 + 1/25 .. . gets closer and closer to the value π2 / 6 = 1.645... as more and more terms are added. Flipping this fraction around, we get 6/π2, which is equal to the probability that two numbers, provided they are large enough, are prime—that is, that they have no common factors other than 1. *
Mathematics Curiosities - Mathematics Quiz - Mathematics Challenge
* Mathematics offers us a curious discovery, known as the Horn of Gabriel. This surface is formed by rotating the curve y = 1/x, a rectangular hyperbola, around the x axis for values greater than one. The remarkable fact discovered by Italian physicist and mathematician Evangelista Torricelli is that although the Horn has a finite volume, equal to π cubic units, its surface area is infinite. If the Horn were filled with ink, there would not be enough ink to cover its entire area. *
The Fibonacci Sequence Curiosities - The Fibonacci Sequence Quiz - The Fibonacci Sequence Challenge
* The Fibonacci Sequence is famous for being found in nature. The process to create the sequence is to add two previous integers to generate the next one. For example, starting with 0 and 1, the sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. This sequence was discovered during an experiment on the growth of rabbits. Also, the song "Lateralus" by the American prog metal band Tool is composed following the Fibonacci sequence. *
Roman Curiosities - Roman Quiz - Roman Challenge
* Roman numerals were originally developed for trading purposes. They were widely used throughout the Roman Empire for accounting purposes, allowing Romans to quickly transact products and services. After the fall of the Roman Empire, this form of numbering was adopted throughout Europe. However, it was gradually replaced by other numbering systems from the 16th century onwards. *
We Curiosities - We Quiz - We Challenge
* We know what a light year is: a unit of length that indicates the distance traveled by light in one year. Light develops a speed of 300,000km/s, which means that, in one second, it travels 300,000km. So, in one year, it travels 9,460,800,000,000Km, more than 9 trillion kilometers! When someone says that a galaxy is 10 light years away from Earth, it means that it is at a distance of 90 trillion kilometers *
It Curiosities - It Quiz - It Challenge
* It was noted that four-legged chairs usually present imbalance, while three-legged ones do not. Mathematics explains this fact, but it is difficult to understand. To understand why, look at a farm gate. It has a diagonal board, forming two triangles. In this way, it is more resistant to deformation and the maintenance of its balance is guaranteed. Likewise, the three legs of a chair form a triangle, making it more robust and stable. *
Why Curiosities - Why Quiz - Why Challenge
* Why do we write numbers the way we know them? If you thought someone just decided it was going to be that way, you're wrong! Behind this writing there is an explanation. Each of the numbers between 0 and 9 was created based on the number of angles it has. For example, the number 3 is represented by a symbol with 3 angles. Check the representation on the side. *
Since antiquity Curiosities - Since antiquity Quiz - Since antiquity Challenge
* Since antiquity, numbers have been used to count objects and animals. The Egyptian people were one of the first to create a numbering system, in the year 3000 BC. Other peoples were also creating their own counting methods, such as the Romans, who created Roman numbers, which are still used today for clocks, books and in counting centuries. However, the numbering system we use today was created by the Indians in North India in the 5th century. *
Number 1089 Curiosities - Number 1089 Quiz - Number 1089 Challenge
* Number 1089 is known as magic number. To get it, choose a number with three different digits, such as 683. Write the number you chose and subtract it backwards: 723 -327 = 396. Finally, take the result and add it backwards forward: 396 + 693 = 1089, which makes 1089. This calculation works with any three-digit number. *
There Curiosities - There Quiz - There Challenge
* There is a mathematical calculation of 4 steps that will always result in the number 6. Come on, the first step is: (1) Think of a number, for example: 104; (2) Multiply it by 2: 104 x 2 = 208; (3) Now add 12 to the value: 208 + 12 = 220; (4) The next step is to divide the result by 2: 220 / 2 = 110; (5) And finally, take the value obtained in the calculation and subtract the initial number: 110 – 104 = 6. The explanation behind this result always giving 6 is in algebra. *
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Mathematics Curiosities - Mathematics Quiz - Mathematics Challenge - Mathematics Commemorative dates
* International Mathematics Day is celebrated on March 14 , known as Pi Day due to the numerical representation of the date (3/14), which corresponds to the first digits of the number pi. As of 2020, by decision of UNESCO, the day began to be officially recognized to celebrate the importance of mathematics around the world. Each year has a specific theme, and celebrations include a variety of educational events and activities to promote interest and understanding of mathematics. * March 14 - March 14 day - today is March 14 - in March 14 - celebrate in March 14
Pi Approximation Curiosities - Pi Approximation Quiz - Pi Approximation Challenge - Pi Approximation Commemorative dates
* Pi Approximation Day, also known as Pi Approximation Day or Approximate Pi Day, is celebrated on July 22 . This date is a reference to the approximate value of Pi (π), which is often rounded to 3.14. Pi is a mathematical constant that represents the relationship between the circumference of a circle and its diameter. The value of Pi is an infinite, non-repeating sequence of decimal digits, and its approximation to 3.14 is often used in calculations and mathematical problems. Pi Approximation Day is an opportunity to celebrate the importance of this mathematical constant and its application in various areas of science and engineering. * July 22 - July 22 day - today is July 22 - in July 22 - celebrate in July 22
Subtraction. Curiosities - Subtraction. Quiz - Subtraction. Challenge
* Subtraction. Properties#NL# 39 - 28 = 11 (It reads: The difference between thirty-nine and twenty-eight is equal to eleven.)#NL# 39 (Additive), 28(Subtractive) and 11(Difference)#NL# Note: To check whether the subtraction is carried out correctly, the fundamental property of subtraction can be applied:#NL# The sum of the subtractive and the difference is equal to the additive.#NL# To make an estimate of a difference, we normally round the numbers to the nearest tens or hundreds.#NL# 903 + 288 = 615 (Exact value)#NL# 900 - 300 = 600 (Estimate) * Addition. Curiosities - Addition. Quiz - Addition. Challenge
* Addition. Properties#NL# 30 + 11 = 50 (read: The sum of thirty-nine and eleven is equal to 50.)#NL# 39 and 11 are the installments and 50 is the sum.#NL# Addition properties: #NL# - Commutative: a + b = b + a#NL# Changing the order of the installments the sum does not change.#NL# 39 + 11 = 11 + 39 = 50#NL# - Associative: (a + b) + c (b + c)#NL# The sum does not change when associating the installments differently.#NL# (39 + 11) + 28 = 39 + (11 + 28) = 78#NL# - Existence of neutral elements : a + 0 = 0 + a = a#NL# o (zero) is the neutral element of addition.#NL# To make an estimate for a sum, we usually round numbers to the nearest tens or hundreds.#NL# 39 + 11 + 28 = 78 (Exact value)#NL# 40 + 10 + 30 = 80 (Estimate) * A set Curiosities - A set Quiz - A set Challenge
* A set is a collection of distinct elements grouped into a single entity. Elements can be numbers, objects, people or anything that can be uniquely identified. Sets are represented between braces {}. Some important concepts related to sets include: Membership: An element can belong to a set. If an element is present in a set, it is said to belong to that set. Empty set: It is a set that has no elements. Subset: A set is considered a subset of another set if all its elements also belong to the larger set. Union: The union of two sets is a new set that contains all the elements of the original sets, without repetitions. Intersection: The intersection of two sets is a new set that contains only the elements common to both sets. * A first-degree equation Curiosities - A first-degree equation Quiz - A first-degree equation Challenge
* A first-degree equation is a polynomial equation whose highest degree is 1. It is expressed in the general form: ax + b = 0, where a and b are known constants, and x is the unknown variable. The solution of a first-degree equation is a specific value of x that makes the equality true. To solve the equation: Isolation of the term with the unknown: Transfer the term containing the variable to one side of the equation, so that it remains alone. All other terms carry over to the other side. Simplification of the equation: Perform the necessary mathematical operations to simplify the equation. Variable isolation: Divide both sides of the equation by the coefficient of x to isolate the variable. Solution of the equation: The value of x that makes the equality true is obtained, called the solution of the equation. A first-degree equation has a unique solution, unless it is an identity equation, where any value of x satisfies the equality. * A quadratic equation Curiosities - A quadratic equation Quiz - A quadratic equation Challenge
* A quadratic equation, or quadratic equation, is a polynomial equation with the highest degree equal to 2. It is represented in the general form: ax^2 + bx + c = 0, where a, b and c are constants and x is the variable unknown. There are three possible types of solutions for a quadratic equation: Two real and distinct roots: When the discriminant (∆) of the equation is greater than zero (∆ > 0), the equation has two different real roots. Two real and equal roots: When the discriminant is equal to zero (∆ = 0), the equation has two real roots that are equal, resulting in a unique solution.No real roots: When the discriminant is less than zero (∆ < 0 ), the equation has no real roots. In this case, the roots can be complex conjugate numbers. * Malba Tahan's famous book Curiosities - Malba Tahan's famous book Quiz - Malba Tahan's famous book Challenge
* Malba Tahan's famous book, "The Man Who Counted", describes a theory known as "four fours". This technique allows the formation of any integer between 0 and 100 using only four numerals 4 and mathematical operation signs. For example, to get a “3”, just perform the operation (4+4+4)/4. * The golden number Curiosities - The golden number Quiz - The golden number Challenge
* The golden number is a fascinating mathematical theory and one that is surrounded by myths. Represented by the Greek symbol Phi (f), this number, 1.6180, is the diagonal/side ratio of a regular pentagon and has been studied since antiquity. It indicates harmony, which is why it is present in works by Leonardo da Vinci, in constructions such as the Pyramids of Egypt and even in the size of human phalanges. * While Curiosities - While Quiz - While Challenge
* While many young people today are looking for fun in video games or sports activities, Evariste Galois opted for a different path: furthering his studies in Mathematics. Considered one of the most brilliant thinkers in the scientific field, Galois even challenged teachers and preferred books by renowned geniuses over classes. Although he left only 60 pages of notes, his legacy was considered fundamental for the development of Mathematics. Tragically, his life came to an untimely end, for in 1832 Galois defended honor in a tragic way: he took a pistol and died in a duel. * The Curiosities - The Quiz - The Challenge
* The professor had his students add up all the numbers from one to one hundred, and was amazed to see that young Gauss got the correct answer, 5,050, in a few seconds. What made the boy realize this account so quickly was his ability to observe and calculate that if he added the first number to the last, 1 + 100, he got 101. When he added the second number to the next to last, 2 + 99, The result was also 101. So Gauss discovered that adding all the numbers from one to one hundred was the same as adding 50 times the number 101, which is 5,050. This was the first time that he invented the formula for the sum of arithmetic progressions, as a child. Gauss, who lived between 1777 and 1855, is considered by many to be the greatest mathematical genius of all time, and is therefore known as the Prince of Mathematics. * Approximately Curiosities - Approximately Quiz - Approximately Challenge
* Approximately 8 x 10^67 different ways can be used to sort a deck of cards. To put this in perspective, even if someone turns over a deck of cards every second since the beginning of the universe, it would still be impossible to find a repeat before the universe comes to an end. * It Curiosities - It Quiz - It Challenge
* It is not possible to comb all the hairs on a tennis ball in the same direction. This mathematical problem is known as Henri Poincaré's theorem. It was formulated at the end of the 19th century and can be mathematically described as "there is no non-disappearing continuous tangent vector field in even-dimensional n-spheres". However, it is most easily expressed as "you can't comb a furry ball without creating a quiff". This theorem was confirmed by Brouwer in 1912, and it has an interesting consequence: on an ideal spherical planet, there is at least one point where the wind is blowing. The planet doesn't have to be perfectly spherical, but it should be continuous - meaning it shouldn't have holes or bumps in the middle. * The number pi Curiosities - The number pi Quiz - The number pi Challenge
* The number pi is found everywhere. His involvement with circles is well known, but it also crops up in other settings. For example, the series 1/1 2 + 1/2 2 + 1/3 2 + 1/4 2 + 1/5 2 … = 1 + 1/4 + 1/9 + 1/16 + 1/25 .. . gets closer and closer to the value π2 / 6 = 1.645... as more and more terms are added. Flipping this fraction around, we get 6/π2, which is equal to the probability that two numbers, provided they are large enough, are prime—that is, that they have no common factors other than 1. * Mathematics Curiosities - Mathematics Quiz - Mathematics Challenge
* Mathematics offers us a curious discovery, known as the Horn of Gabriel. This surface is formed by rotating the curve y = 1/x, a rectangular hyperbola, around the x axis for values greater than one. The remarkable fact discovered by Italian physicist and mathematician Evangelista Torricelli is that although the Horn has a finite volume, equal to π cubic units, its surface area is infinite. If the Horn were filled with ink, there would not be enough ink to cover its entire area. * The Fibonacci Sequence Curiosities - The Fibonacci Sequence Quiz - The Fibonacci Sequence Challenge
* The Fibonacci Sequence is famous for being found in nature. The process to create the sequence is to add two previous integers to generate the next one. For example, starting with 0 and 1, the sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. This sequence was discovered during an experiment on the growth of rabbits. Also, the song "Lateralus" by the American prog metal band Tool is composed following the Fibonacci sequence. * Roman Curiosities - Roman Quiz - Roman Challenge
* Roman numerals were originally developed for trading purposes. They were widely used throughout the Roman Empire for accounting purposes, allowing Romans to quickly transact products and services. After the fall of the Roman Empire, this form of numbering was adopted throughout Europe. However, it was gradually replaced by other numbering systems from the 16th century onwards. * We Curiosities - We Quiz - We Challenge
* We know what a light year is: a unit of length that indicates the distance traveled by light in one year. Light develops a speed of 300,000km/s, which means that, in one second, it travels 300,000km. So, in one year, it travels 9,460,800,000,000Km, more than 9 trillion kilometers! When someone says that a galaxy is 10 light years away from Earth, it means that it is at a distance of 90 trillion kilometers * It Curiosities - It Quiz - It Challenge
* It was noted that four-legged chairs usually present imbalance, while three-legged ones do not. Mathematics explains this fact, but it is difficult to understand. To understand why, look at a farm gate. It has a diagonal board, forming two triangles. In this way, it is more resistant to deformation and the maintenance of its balance is guaranteed. Likewise, the three legs of a chair form a triangle, making it more robust and stable. * Why Curiosities - Why Quiz - Why Challenge
* Why do we write numbers the way we know them? If you thought someone just decided it was going to be that way, you're wrong! Behind this writing there is an explanation. Each of the numbers between 0 and 9 was created based on the number of angles it has. For example, the number 3 is represented by a symbol with 3 angles. Check the representation on the side. * Since antiquity Curiosities - Since antiquity Quiz - Since antiquity Challenge
* Since antiquity, numbers have been used to count objects and animals. The Egyptian people were one of the first to create a numbering system, in the year 3000 BC. Other peoples were also creating their own counting methods, such as the Romans, who created Roman numbers, which are still used today for clocks, books and in counting centuries. However, the numbering system we use today was created by the Indians in North India in the 5th century. * Number 1089 Curiosities - Number 1089 Quiz - Number 1089 Challenge
* Number 1089 is known as magic number. To get it, choose a number with three different digits, such as 683. Write the number you chose and subtract it backwards: 723 -327 = 396. Finally, take the result and add it backwards forward: 396 + 693 = 1089, which makes 1089. This calculation works with any three-digit number. * There Curiosities - There Quiz - There Challenge
* There is a mathematical calculation of 4 steps that will always result in the number 6. Come on, the first step is: (1) Think of a number, for example: 104; (2) Multiply it by 2: 104 x 2 = 208; (3) Now add 12 to the value: 208 + 12 = 220; (4) The next step is to divide the result by 2: 220 / 2 = 110; (5) And finally, take the value obtained in the calculation and subtract the initial number: 110 – 104 = 6. The explanation behind this result always giving 6 is in algebra. * Back