Many of the subjects that we see, from elementary school to university, that talk about numbers and letters, have an algebraic symbology and a unique language. Such as mathematics, physics, chemistry, among others, being one of the most outstanding is linear algebra. However, with this type of language not very complex to learn, there has been an increase in its learning.
Today we are going to give you a more in-depth explanation of what algebraic language is and the characteristics that make it very important. In addition, you will see what letters can be implemented and how this formula is used as such. be for elementary algebra, linear u subjects simple as those mentioned in the previous paragraph.
Concept and meaning of algebraic language
When talking about algebraic expressions, we talk about math, operations. However, this language is implemented to better communicate the formulas, examples, and theorems that are then going to be solved. Being very easy and common to know, since they are mainly made up of combined numbers and letters.
Said function, which we have mentioned before, is mostly known as an algebraic expression, where a mathematical operation has a set of symbols, letters and numbers. Those iconic letters that you will see there are called “Variable”, since it is something which does not have a specific value, but must be found at the end of the product. In addition, these algebraic expressions or languages can indicate not only the aforementioned, but also that where the letter goes, a specific number goes.
What is algebraic language used for?
Its implementation is something very extensive, since it can be applied both as a way of writing a formula, and as the product of a power. An example of the aforementioned, expression of “2x”, where the variable or unknown is the exponent “X” of number two. We explained this before, however, said example is done to explain the function of the exponent.
However, this is not the only thing good algebraic language can be used for. Well then, one of the main utilities is the one we have been mentioning, which is unknowns and variables, which can express many things. However, here we will show you other examples.
- They can be used in the “Arithmetic Signs” part. Where the operations of addition, subtraction, multiplication and division together with the letters will be displayed more easily. A simple example of this is:A+B=C”.
- In the “superscripts and powers” part, it will be easier to know exactly the number of times that should be multiplied by itself.
- Entering the section on Roots and radicals, when explaining the formulas, algebraic language is present. A very simple reason is that, to find the quotient, it is necessary to know with certain certainty the number of times that we have to divide this. That is why this expression can be known.
Finally, where it is most common to see this type of mathematical vocabulary is in the famous functions. whatever the algebraic expressionthe formulas and the operations as such, will be presented both with numbers and letters.
What are the characteristics of algebraic language?
It is easy to learn this type of scientific vocabulary, to the point that just by listening to it you will be able to understand everything. This language is very easy to grasp and to know explicitly what is being commented on. A small example of this is when talking about sets that are multiples of x number. In the case that it is two (2), its algebraic language would be Two times a whole number (2*n).
This is only a small part of what are the characteristics that this type of speech has, because there is more, it is not only this, it is much more extensive than you think. We are going to leave you some examples to make it clearer:
- One of the main ones that you get to know is when numerical expressions and properties have general characters. A demonstration of this is that “A+B = B+A”. That is, whether you add them to the right or the reverse, it will give the same result.
- It is used to better express the connotation by saying “Double a number”, which can be expressed as follows: “2X=9”.
And as it is, there are many more ways to communicate and translate mathematical formulas or operations. In addition, this same algebraic language, you are usually much better than numericsince it is more precise and moderate when speaking mathematically.
How is algebraic language made?
In order to implement this, there are a few factors to consider. The most important is to know what are the coefficients, a base and the exponents. Also, knowing more about independent and dependent variables will help you get a better idea of what algebraic language is all about.
Now, to carry out algebraic language, the statements or what is being commented must be taken into account. For you to see it better, each comment that is made will have a primary data that must be taken into account. A clear example of this is in operations to know how old someone will be in X amount of time, their connotation or expression in algebraic speech it would be “The sum of the age that it has, plus the number of years that will pass”.
This is one of the easiest ways to see and apply such language. And Like the previous one, there are many simpler examples:
- Find half of a number. It would be written as X/2, where the letter x is the variable of the age to be found and the dDividing it by two will give the result.
How is algebraic language used?
Beforehand, one must know the basic rules and operations of mathematics, which are the Addition, subtraction, multiplication and division. In addition to that, the words that will tell you when each product is will have a lot to do with it when it comes to transferring it to its formula form.
Now, to give you a better idea of what we are talking about, keep in mind the aforementioned about keywords. At least, if you are commenting on the “sum of two numbers”, this would translate to “x + z”. In this way, the letters that are placed, since they play the role of variables, until the real factors are given.
The way in which the algebraic language is going to be implemented will depend a lot on the indications that are being given or that you are giving. The reason for this is that, if one speaks of “a number divided by 5”, it will be known that it is a division. Being here the unknown number was expressed with a letter and 5 will be a divisor, thus leaving “X/5”.
What is the difference between algebraic and common language?
To tell the truth, or there is a lot of discrepancy when it comes to having a comparison between the two ways of speaking, but it does. On the mathematical form side, it is a way of expressing operations, formulas, exercises, which carry those variables and operational signs that characterize them. That is why it is only identified by the fact that it is a written translation in the form of symbols and numbers of the normal speech that we have.
This is one of the outstanding discrepancies that the two types of communications can have with each other. This is very evident, since when it is only verbal, the same words are usually implemented, the same word. However, when it comes to being writing, ordinary language is not of express it with symbols and numbersonly letters.
Examples of the use of algebraic language in mathematics
In order for you to have a better idea of what algebraic dialect of mathematics is, you should put it into practice and continue to see examples of how it is done. Here are some very simple demos to understand with respect to what we have been explaining:
- Sum of three equal numbers: “to + to + to”.
- A number increased 8 times: “x + 8”.
- The square of a number: “x2″.
- The third part of a number increased 10 times: “x /3 + 10”.
And just as we have given you some of the easiest expressions to understand, we are going to leave you with additional exercises for you to do and speed up the mind and practice the algebraic language more thoroughly.
- The fifth part of a number:
- A number that added to 3 added gives 5:
- The difference of two equal numbers: