Tag: math education
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Every Weird Temperature Scale Explained
Celsius Fahrenheit Kelvin The Obscure Temperature Scales Celsius Anders Celsius. Public domain, via Wikimedia Commons In its simplest definition, a temperature scale uses numbers to classify how hot or cold something is. The Celsius scale is the most commonly used scale of temperature around the world, with units of degrees Celsius. At one atmosphere of… read more
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Every Level of Geometry Explained
Level 1. Basic Geometry Level 2. Intermediate Geometry Level 3. Advanced Geometry Level 4. Analytic Geometry Level 5. Non-Euclidean Geometry Level 6. Topological Geometry Level 7. Projective Geometry Level 8. Differential Geometry Level 9. Algebraic Geometry Level 1. Basic Geometry The fundamental entities of geometry include the point, the line, and the plane. It is… read more
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Every Proof that 0.999 equals 1 but they get increasingly more complex
If we have 1/3 = 0.333… and we multiply both sides of the equation by 3, we see that 3/3 is equal to 0.999… Since 3/3 is 1, we find that 1 equals 0.999… The above is one of the simplest and most popular demonstrations that can be found regarding the claim that 0.999… equals… read more
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Level 1 Geometry Basics #maths #geometry #shorts
Basic Geometry Building on the Foundations Basic Geometry The fundamental entities of geometry include the point, the line, and the plane. It is only possible to describe them in relation to other similar elements. The point is an exact location in space with no size or volume and is considered to exist in zero… read more
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Golden Ratio Φ phi
The Golden Ratio in Base φ What Does Base φ Mean? Further Reading The Golden Ratio in Base φ To obtain the golden ratio, imagine having two amounts a and b, where a is larger than b. These are two parts of a whole, where the whole is a + b. If the ratio of… read more
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Every Number Set Explained
Natural Numbers Integers Rational Numbers Real Numbers Complex Numbers Natural Numbers The story starts at the beginning of mathematics itself. Evidence of humans counting things goes back to the Paleolithic era, tens of thousands of years ago, with tally marks etched on various surfaces. Early humans could have been counting fruits, animals, or days. Whatever… read more
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Everything You Need to Know About Celsius
The Celsius scale is the most commonly used temperature scale around the world, with units of degrees Celsius. At one atmosphere of pressure, 0°C is the temperature at which water freezes and 100°C is the temperature where it boils. The Inverted Origin Why the Scale Was Flipped Further Reading The Inverted Origin Celsius. Ulflund, CC0,… read more
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Advanced geometry level 3, Geometric Bodies, Convex Polyhedron Polygons
Advanced geometry includes the study of geometric bodies. The five Platonic solids are convex polyhedra such that all their faces are regular polygons equal to each other and in which all the solid angles are equal. Why Only Five? The Vertex Angle Constraint Further Reading Why Only Five? Here are the reasons why there are… read more
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Every Fractal Dimension Explained
Fractals are geometric objects that have a fascinating property: they are self-similar. This means that their structure repeats itself at different scales, no matter how close or far away you are looking. Imagine an object whose shape repeats itself over and over again, just at different sizes. These structures are not just abstract objects but… read more
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The Decimal System, aka the Hindu-Arabic Numeral System
The decimal system with the digits we have today is called the Hindu-Arabic numeral system. It originates from Indian mathematicians sometime between the first and fourth centuries, though not including fractions, which were a later extension by 9th century Arabian mathematicians. In modern times, the system is the standard worldwide system of number representation. Origins… read more
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