Understanding the subject also means dealing with the language of mathematics in particular. Even if mathematics is an exact science, it still has a certain linguistic aspect because of its own vocabulary.
In order for you to make progress in mathematics, we have compiled mathematics terms in German.
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- Math vocabulary is important
- Mathematics terminology in German
- Gleichung Equation
- Multiplikation: Faktoren und Produkt multiplication: factors and results
- Addition: Summanden und Summe Plural: Addition and Quotient
- Subtraktion: Minuend, Subtrahend und Differenz Subtraction: Subtracted and Difference
- Division: Dividend, Divisor und Quotient Division: Divisor, Divisor, and Quotient
- Term term
- Bruch, Zähler und Nenner Fracture, Numerator and Denominator
- Dreieck Triangle
- Viereck Box
- Quadrat Square
- Rechteck Rectangle
- Raute Certain
- Kreis Circle
- Parallele Parallel
- Vertical Senkrechte
- Gerade, Strecke, Halbgerade straight, stretched, half straight
- Segment / Kreissegment Piece / Circle
- Diagonale diagonal
- Schnittpunkt Junction
- Algebra Algebra
- Geometrie Engineering
- Unbekannte / Variable Unknown / Variable
- Koordinaten coordinates
- Abszisse/Ordinate X-coordinate/format
- Aufsteigende und absteigende Reihenfolge ascending and descending order
- Winkel Angle
- Theorem Theory
Math vocabulary is important
It is really annoying, but in order to be able to work really mathematically, you need to understand the instructions and tasks. That's pretty obvious, isn't it?
But because of the sometimes strange terminology, the lack of mathematical vocabulary can lead you to math exams or while preparing for a high school diploma.
To prevent this from happening to you, you should consider all the relevant definitions again before an important test so you can truly understand them.
This is useful for really understanding the tasks in the test.
Mathematics terminology in German
An equation is a mathematical statement or confirmation of the shape "left side" = "right side".
Both sides are called terms. It can contain zero or one or more variables. The equation can be true or false. The equation is the basis of mathematics.
Multiplikation: Faktoren und Produkt multiplication: factors and results
As a factor of each of the numerical elements called, it participates in multiplication. So at 3 × 24 = 72, the numbers 3 and 24 are two factors.
The product of multiplication is the result of multiplying the factors x and y. The product can also be written in the format x × y or x · y or xy for shortcut.
Addition: Summanden und Summe Plural: Addition and Quotient
The sum results from the addition of two or more real numbers. It is written as a + b.
The numbers A and B are called separately by the groups Summanden , and combining them together leads to the total.
Subtraktion: Minuend, Subtrahend und Differenz Subtraction: Subtracted and Difference
The difference is the result of subtraction. You get it if you subtract the second number (subtracted subtrahend) from the first number (minuend minus)
Example: 10 – 4 = 6. Then 10 is subtracted, 4 is subtracted and 6 is the difference.
Division: Dividend, Divisor und Quotient Division: Divisor, Divisor, and Quotient
The term division comes from Latin and means division. In mathematics, this calculation divides the divisor by the divisor and gets the sum of the division.
Example 10: 2 = 5. The number 10 is divisive, 2 is the denominator, and 5 is the quotient of the division. Thus, the quotient of division is the result of division.
The term – in occasional terms – is a mathematical expression in which symbols (letters) appear, and spatial numbers (or other mathematical objects) can be inserted in their place.
These symbols are called variablen variables.
Only after entering specific numbers does the term take a specific numerical value. In principle, you can calculate using terms in the same way as numbers calculate.
Bruch, Zähler und Nenner Fracture, Numerator and Denominator
The numerator and denominator are the components of the fracture. A fraction is another way to write a division. We face breaks in everyday life all the time. 45 minutes, for example, 3/4 hour.
The minimum number of fractions (in example 3/4 4) is called the denominator and refers to the number of equal parts into which the whole is divided.
The larger the number, the smaller the division process.
Do z. B. A 4 in the denominator, the whole was divided into 4 equal parts, with 20 in the denominator divided into 20 equal parts.
The top number is the numerator (in example 3/4 3) and indicates the number of parts taken. The higher the number, the more is taken.
Do z. B. A 2 in the counter, 2 parts are taken, with 15 at the counter 15 parts are taken.
A normal fraction always has a greater number in the denominator than in the numerator.
The Dreieck triangle is a three-sided polygon.
Or in other words, it is a surface with three sides and three corners.
Some triangles have special features:
- So, an equilateral triangle, a triangle that has two sides of equal length.
- The right-angled triangle has an angle of 90 degrees. The rib opposite this angle is called the tendon.
- An equilateral triangle is a triangle with three sides of equal length and three angles of equal size.
A square is a surface with four sides and four corners.
A square is a surface with four sides of equal length and four right angles (90 degrees).
Greek mathematicians introduced another definition of a square: there is also a number square in mathematics.
This means the product of multiplying the number of x if both factors are x. This box is also written on the figure x 2
A rectangle is a space with four sides. The opposite ribs are parallel and of the same length.
The rectangle also has 4 equal inner corners measuring 90 degrees each. So it is a special case of paralleloids.
By definition, a square is also considered rectangular because it is parallelogram and all its angles are 90 degrees. In this regard, a square is a rectangle with four equal sides.
The rhombus has four sides of equal length.
In addition, the diagonal diagonal of the diamond always crosses in the middle at a right angle and forms two symmetrical axes.
From a mathematical point of view, a circle is a curve with a special property: all points on the curve – also referred to as the outer line of the circle – have the same distance from the center of the circle.
It is a special geometric shape.
Two parallel or parallel lines are defined as two lines of equal distance from each other at any point.
The two lines are considered perpendicular to each other if they intersect at an angle of 90 degrees (= right angle).
Gerade, Strecke, Halbgerade straight, stretched, half straight
A straight line is a continuous line consisting of an infinite number of points. It has neither a beginning nor an end. It is one of the most important elements in analytical engineering.
On the other hand, half of the line (also known as the beam) has a beginning but no end point.
You can measure the path because it has a starting point and an end point.
Segment / Kreissegment Piece / Circle
The section is part of a straight line bordered by two points. These two points are the beginning and end of the section.
The line pane to the right and left of the section contains only one point.
The section [AB] is therefore the part of the straight line that lies between points A and B.
The encoding of a section is the colon A and B in square brackets, and therefore like this: [AB].
A circle section is that part of the area of a circle that consists of a part of a circular arc and straight lines that connect the end points of a circular arc to the center of the circle.
In a polygon, a diameter is a line connecting two non-consecutive corner points.
A rectangle – a rectangle or square – has exactly two diameters.
An intersection point is the point at which straight lines, halflines, or lines meet at a certain angle.
In more general terms, a common point for two curves in a plane or in space. Because a straight line is nothing more than a special curve – puzzling, right?
Algebra is one of the most important branches of mathematics. Deals with the characteristics of calculations.
We define algebra mostly as a calculation with the unknown in equations – for example x + 1 = 2. The unknown or variables in algebra are represented by letters.
However, the contents and methods of algebra have expanded so much over time that it has become difficult to give the term algebra in a concise definition.
At school, we learn not only primary algebra, but also linear algebra.
Elementary algebra includes the rules of arithmetic for natural, complete, fractional and real numbers, the handling of expressions containing variables, and methods of solving simple algebraic equations.
Like algebra, geometry is an important part of mathematics.
In elementary geometry, the relationships between points, curves, straight lines and surfaces are examined, measuring and calculating geometric shapes.
Unbekannte / Variable Unknown / Variable
In the equation, the unknown or variable refers to the term (number) missing: as a rule, the goal of the calculation is to discover this unknown.
For example, x in the plural 5 + x = 8 is unknown. If you solve the equation, x means the number 3.
To clearly describe the position of a point in the level, two numbers are required. Three numbers for the situation in space.
These numbers are called coordinates. The simplest coordinate system consists of so-called Cartesian coordinates with axes x, y, and z arranged at right angles.
The x-coordinate is the X value of a point in the Cartesian coordinate system. The coordinate is the value of Y.
Aufsteigende und absteigende Reihenfolge ascending and descending order
The ascending order is ordered by size, from the smallest to the largest.
On the contrary, the descending order sorts the numbers according to their size from the largest to the smallest.
There are many different angles, such as the sharp angle, which are between 0 and 90 degrees, but there is also an obtuse angle (between 90 and 180 degrees).
Special angles are the right angle (90 °), the zero angle (0 °), the flat angle (180 °) and the full angle (360 °).
A theory is a demonstrable theory resulting from other theories that have already been presented.
The theories of Pythagoras and Thales are among the best known theories.
As you can see, there are hundreds of technical terms in mathematics – this is just a small choice.