Man has always sought the facility to make his life better and therefore has resorted to putting his mind to think and making inventions that revolutionize the world, in such a way that even with the way of counting he has made various systems which have maintained their importance. until today.
In order to communicate with each other, the men gesticulated and that is how the word reached the writing, to leave us a legacy of unique experiences that were revolutionizing until reaching the complex language that we use today.
That is why in the mathematical part they also appropriated a special code, which helped them perform multiple mathematical operations to be able to buy, sell, count, measure, among many other activities that would have been complicated without a method.
In this way, numbering systems such as the hybrid made their appearance in different civilizations, leaving an experience that teaches that despite being in adverse situations, man is capable of relating his intelligence to get ahead in any event.
With this, the drawing and representation of figures also came to play a leading role in the invention of these number systems, since they were used to represent any digit to form quantities and thus make life easier when adding, subtracting, multiply and divide.
What do you need:
- Numbers.
- Letters.
- Figures.
- Writing.
- Communication.
- Numbering system.
- Positional.
- Binary.
- Additive and multiplicative .
- Subtractions and divisions.
Instructions
Believe it or not, mathematics is in everything, from the simple preparation of a kitchen dish to the construction of a large building with solid foundations to make it strong and maintain itself over time, which is why in ancient times a system that provides numbers.
So much so that at all times it has been necessary in any way to talk about digits, as an example in Roman numerals, 1 is represented by the Latin letter I, and for them to have 7 letters that form numbers and from there to write large numbers, it is an outstanding achievement.
Going from seven letters to having large amounts of numbers, it can be said that this is achieved through numbering systems, based on the possibility of being able to obtain an exact amount that helps them do mathematical operations such as fractions and others.
And this is also thanks to the graphic representation of a number with the use of letters, dots, stripes, geometric figures, drawings among many other forms that were used to have an image of a number and thus make life easier for those who needed it. count.
Learn step by step how to work this system
- The need to find a numbering system that would help ancient men to do their accounts, was what ended up giving us what we know today as the base 10 number system that goes from 0 to 9 for any mathematical operation.
- The systems that were invented are graphical representations of dashes and dots or pictures that gave complex exact amounts of numbers if you followed the order or learned how to use them in order to understand how to get to large numbers.
- With the use of symbols, criteria were unified that managed to group these in the formation of large numerical quantities, in rapid and exact series that organized the possibility of being able to read and say how much they were equivalent to.
- Through the symbols and to be able to make a large account or quantity, they went in progressive order adding or additively at the same time as multiplying to give these amounts in a high way with only a few signs, this is known as a hybrid system.
- In the hybrid numbering system, both addition and multiplication alternate, according to the symbol used to represent large quantities, the largest number of digits that help to perform simple mathematical operations is obtained.
- The numbering systems that usually use a base are the most orderly and exact, so if you want to reach a larger number with the use of symbols or letters and by combining the operations, you can achieve it.
- At present there is no fixed date for when numbers began to be used in the universal history of man, but what if it is necessary to be clear that they needed these to stay informed about many aspects of daily life.
- The mere fact of carrying out a commercial purchase and sale transaction, how much a sack of grain weighed, measuring the amount of land that was owned or the herd that was owned was essential to know how abundantly anyone was rewarded.
- Hence the importance of having the numbering systems defined by the symbols in order to have an idea of what was counted and that they took for granted the system by which society is currently governed.
- Each symbol helped man to manifest a quantity that provided him with knowledge about different times of the year, even with the formation of a calendar according to the sun and the moon, in order to take into account the possibility of when to sow or when to harvest.
- This together with the need to have the possibility of achieving large harvests through numbers that indicate everything necessary for this to happen, taking into account that there were limitations in terms of machinery, seeds, fertilizers and the weather against it.
- Hybrid systems is a union of an additive system in addition to the multiplicative one, using a repetition of symbols to represent large quantities to simulate that particular number over 100.
- The hybrid numbering system does not accept 0 among its figures, so it has its own way of writing it, depending on the quantity, they are also characterized by using 5 and 100 as a base and from there they start towards the other numbers or quantities.
- The order or position of the symbols in the hybrid numbering system is important, since it gives a result according to the place that the symbol occupies, also using the tens, hundreds and units of course as a representation of the least amount.
- There are many civilizations that have used the hybrid numbering system throughout history, the Chinese standing out, in addition to Aramaic, Sinhalese and Assyrian, therefore it is feasible that it gives an exact result with the use of this system.
- The Chinese used the hybrid system in a different, complex way, using the base and powers of 10, being the ones that implemented the hundred thousand, responding to the use from each of the digits to set the quantities.
- For them the position was predominant, despite the fact that their writing was particular since it is written from top to bottom and not horizontally from left to right as in the West, although the Arabs adopted the writing backwards.
- For them, it was not necessary to place 0, but they did have their way of demonstrating the existence of a 300 or a 305, just placing each of the symbols that represent the different quantities according to what they needed.
- Apart from all this, they had different writings of amounts to avoid errors as well as forgeries that could hinder the true starting point of a business transaction, considering that they were correct and dedicated to the job.
- It had its own particular way of making seals through scriptures and figures with the hybrid system, which allowed them to identify different clans or families, in high society in order to distinguish one from the other.
- There are many different mathematical manifestations that the Chinese invented for their transactions, thus avoiding problems and deception, including a numerical system very similar to the current one that considers 0 as one more number and with its position.
- At present, the natural numbers are known in addition to the integers, starting from three great civilizations, the Arabs, Indians and Chinese who left a legacy in symbols to represent the numbers that we know today for the benefit of all.
- The transactions became much broader as the numbering systems implemented according to the symbols they used for this were used, achieving progress in matters of numerology, counting, weights and measures among many other things.
Tips
- Remember that starting from a division of natural numbers you get a smaller result just like subtracting.
- The additive and multiplicative system has the particularity of being identified by adding or doubling a quantity to make it much larger.
- In the great civilizations, through its symbology, the use of fractions was found.
- Remember that you can also expand any quantity with the use of various mathematical operations.
- Thanks to all these symbols, today the different numbering systems are known, among which are additive, multiplicative, decimal, natural, binary, hybrid, among others.
- These systems also gave applications for more complex operations with the use of Greek letters like pi.
- Math accounts are always exact unless decimals are needed, but everything adds up perfectly.
- Remember the use of mathematics is in all kinds of activities, it is an essential part of the human being as is communication, if it we would be lost.