From the 5th grade of high school, the subject of algebra appears. This is a science that requires serious study. This article explains in simple words what algebra is and why a person needs it.
What is this science
Algebra is not a separate science, but a branch of mathematics. It studies actions on quantities. That is, each student will have to carry out various calculations, transformations over numbers, variables. What is algebra, in simple words? Imagine arithmetic where fractions are given, for example. These fractions need to be added. How to do this, suggests a certain rule: we bring them to a common denominator, then we need to make a calculation.
You can also give an example with simple tasks about harvested and eaten apples (how many were and how much is left). But algebra is more complicated than arithmetic.
What topics are related to algebra
Consider what problems the algebra solves:
- determination of values of quantities;
- solving equations;
- work with fractions, numbers, whole expressions;
- plotting;
- finding unknown variables;
- proof of theorems;
- solving inequalities;
- expression conversion;
- finding derivatives, integrals.
This section of mathematics is quite complicated. Since ancient times, famous scientists created laws, formulas, theorems based on life experience. No wonder mathematics is considered not only an exact science, but also a mystical one.
Why is she needed
Algebra is a search for a solution and analysis of a particular problem. Suppose you need to open the brackets in an equation, then solve it. We find the value of the unknown variable "x" (X). To check whether the problem is solved correctly, you should solve this equation in another way: do not open the brackets, but solve each expression separately. Thus, the roots of the equation are found that must have the same values as when opening the brackets.
So why do we need algebra? She teaches logical thinking, requires memory training, mindfulness. People with an analytical mind are most often well versed in science. Algebra is needed for those who are going to enter technical, economic universities.
In life, it can also come in handy. For example, to decide in a store, at what price and in what volume it is more profitable to take goods. It is necessary to make mental calculations. In addition, we often have to count percentages and translate them into numbers. Let's say income tax is 13%. How much money will be handed out can be easily calculated.
What sciences use algebra
We figured out what algebra is, and how it can be useful. Now we will consider what sciences cannot do without it.
Recall that it is not an independent discipline, but only a branch of mathematics. And mathematics is divided into arithmetic (studied in the lower grades of a comprehensive school) and geometry (studied in high school). Why are they interconnected? The fact is that arithmetic is a very simple calculation: addition, subtraction, multiplication and division. This is all useful in further training.
As for geometry, it studies spatial structures. That is, we are talking about various calculations in figures, lines, in spatial bodies.
Without algebra, the following cannot exist:
- physics;
- chemistry;
- Informatics;
- drawing;
- economy.
Even some humanities cannot do without it, for example, sociology.
How to successfully master
Unfortunately, algebra is a very complex subject, however, like mathematics in general. Therefore, you need to take your studies seriously. From the first days of its study (arithmetic begins in grade 1), you need to start learning each lesson, memorizing everything that is needed by heart. If you miss something, then in the future there may be a problem with the study of new material.
Mathematics is a kind of chain of links: it starts with the simple, and ends with the complex. And so gradually. Therefore, it is important not to skip any material. It’s better to check yourself several times, consolidate the topic.
Further, when studying algebra, you should constantly train your memory. It is necessary to remember various rules and properties. For example, you need to understand that when opening the brackets, the signs are taken into account: “minus to minus gives plus”, and “plus to minus always gives minus” (when multiplying). Thus, the student will solve the problem correctly, and he will not have problems in the future, especially if he plans to go to a technical university.
You have learned what algebra is. We wish you a successful knowledge of this complex section of mathematics.