Mathematics
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Trigonometry
Trigonometry is a branch of mathematics that focuses on the relationships between the angles and sides of triangles. It’s a fundamental field of mathematics that has applications in various scientific, engineering, and practical contexts, including physics, engineering, astronomy, and more. Trigonometry is particularly useful for solving problems involving angles, distances, and the relationships between different…
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Exploring 3D shapes- Cube (Cuboid)
Let’s explore the Cubic Wonder… In the fascinating realm of geometry, 3D shapes hold a special place, and one of the most iconic among them is the cube. With its perfectly symmetrical sides and sharp edges, the cube has intrigued mathematicians, scientists, and artists for centuries. The cube has a rich history that spans thousands…
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Mathematical symbol – exponent
Exponents in mathematics are a way to express repeated multiplication. The exponent, often written as a superscript number, tells you how many times a base number should be multiplied by itself. For example, in the expression “23,” 2 is the base, and 3 is the exponent. It means you should multiply 2 by itself three…
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Mathematical symbols – square root
The square symbol (√) in mathematics represents the square root of a number. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 (√25) is 5 because 5 multiplied by itself equals 25. History of the Square Root Symbol: Today,…
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Abstract algebra
Abstract algebra is a branch of mathematics that studies algebraic structures and their properties without getting bogged down in specific numbers or calculations. It’s like looking at the rules of the game without actually playing it. It explores sets of numbers with special rules, such as groups, rings, and fields. These rules help us understand…
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Branches – Mathematics
Mathematics is a broad and diverse field that can be categorized into various branches based on the types of problems and concepts they study. So let’s take step back and list some major branches of mathematics: These are just a few examples, and there are many more specialized branches and interdisciplinary areas within mathematics. Many…
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Elementary algebra – polynomials
Polynomials are mathematical expressions made up of variables, coefficients, and exponentiation. They can have one or more terms, where each term consists of a coefficient multiplied by one or more variables raised to non-negative integer exponents. Here’s a general form of a polynomial: In this expression: Here are some basic operations and concepts related to…
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Long division
Long division is a method of dividing two numbers, usually one larger number (the dividend) by another smaller number (the divisor), to find the quotient and remainder. This method breaks down the division process into smaller, more manageable steps. I will show here long division the way I was thought and this method makes more…
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Elementary algebra -equations
In mathematics, an equation is a statement that shows the equality of two mathematical expressions. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used to model…
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Coefficients
In mathematics, coefficients play a crucial role in various contexts, including algebra, calculus, and linear algebra. A coefficient is a numerical or algebraic factor that is multiplied to a variable or a term in a mathematical expression. Here are some common areas where coefficients are used: Coefficients are crucial in understanding and manipulating mathematical expressions…