Basic Concept Number System Trick by Prem sir

 Basic Concept Number System

By Prem sir Math Expert 9470710586

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1. Numbers (संख्या):

• Natural Numbers (प्राकृतिक संख्याएँ): Numbers starting from 1, 2, 3, … are called natural numbers.
  Example: 1, 2, 3, 4, …
  उदाहरण: 1, 2, 3, 4, …

• Whole Numbers (पूर्णांक): Numbers starting from 0 including natural numbers.
  Example: 0, 1, 2, 3, …
  उदाहरण: 0, 1, 2, 3, …

• Integers (पूर्ण संख्या): Positive and negative whole numbers including zero.
  Example: -3, -2, -1, 0, 1, 2, 3, …
  उदाहरण: -3, -2, -1, 0, 1, 2, 3, …

• Rational Numbers (परिमेय संख्या): Numbers that can be expressed as $\frac{p}{q}$, where $q \neq 0$.
  Example: $\frac{1}{2}, \frac{-3}{4}, 5$.
  उदाहरण: $\frac{1}{2}, \frac{-3}{4}, 5$।

• Irrational Numbers (अपरिमेय संख्या): Numbers that cannot be expressed as $\frac{p}{q}$.
  Example: $\sqrt{2}, \pi$.
  उदाहरण: $\sqrt{2}, \pi$।

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2. Arithmetic Operations (अंकगणितीय संक्रियाएँ):

• Addition (जोड़): Combining two or more numbers.
  Example: $5 + 3 = 8$
  उदाहरण: $5 + 3 = 8$

• Subtraction (घटाव): Finding the difference between two numbers.
  Example: $9 - 4 = 5$
  उदाहरण: $9 - 4 = 5$

• Multiplication (गुणा): Repeated addition of a number.
  Example: $4 \times 3 = 12$
  उदाहरण: $4 \times 3 = 12$

• Division (भाग): Splitting a number into equal parts.
  Example: $12 \div 4 = 3$
  उदाहरण: $12 \div 4 = 3$

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3. Fractions (भिन्न):

• A number in the form of $\frac{a}{b}$, where $b \neq 0$.
  Example: $\frac{3}{4}, \frac{7}{8}$
  उदाहरण: $\frac{3}{4}, \frac{7}{8}$

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4. Decimals (दशमलव):

• Numbers with a decimal point.
  Example: 0.5, 1.75, 3.14
  उदाहरण: 0.5, 1.75, 3.14

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5. Percentage (प्रतिशत):

• A fraction with a denominator of 100.
  Formula: $\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$
  Example: 50% = $\frac{50}{100} = 0.5$
  उदाहरण: 50% = $\frac{50}{100} = 0.5$

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6. Algebra Basics (बीजगणित के मूल सिद्धांत):

• Variable (चर): A symbol (like $x$ or $y$) used to represent unknown values.
  Example: $x + 3 = 5$, $x = 2$.
  उदाहरण: $x + 3 = 5$, $x = 2$।

• Equation (समीकरण): A mathematical statement that shows the equality of two expressions.
  Example: $2x + 3 = 7$
  उदाहरण: $2x + 3 = 7$

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7. Geometry Basics (ज्यामिति के मूल सिद्धांत):

• Point (बिंदु): A location with no size or shape.
  Example: $A, B, C$.
  उदाहरण: $A, B, C$।

• Line (रेखा): A straight path extending infinitely in both directions.
  Example: $\overleftrightarrow{AB}$.
  उदाहरण: $\overleftrightarrow{AB}$।

• Triangle (त्रिभुज): A polygon with 3 sides.
  Example: Scalene, Isosceles, Equilateral.
  उदाहरण: विकर्ण, समद्विबाहु, समभुज।

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8. Mensuration (मापांकन):

• Area (क्षेत्रफल): Space inside a shape.
  Example (Rectangle): $\text{Area} = \text{Length} \times \text{Breadth}$.
  उदाहरण (आयत): $\text{क्षेत्रफल} = \text{लंबाई} \times \text{चौड़ाई}$।

• Perimeter (परिमाप): Total length of the boundary of a shape.
  Example (Square): $\text{Perimeter} = 4 \times \text{Side}$.
  उदाहरण (वर्ग): $\text{परिमाप} = 4 \times \text{भुजा}$।

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9. Data Handling (सांख्यिकी):

• Mean (औसत): $\text{Mean} = \frac{\text{Sum of all values}}{\text{Total values}}$
  Example: $\text{Mean of } 3, 4, 5 = \frac{3+4+5}{3} = 4$.
  उदाहरण: $3, 4, 5 का औसत = \frac{3+4+5}{3} = 4$।

• Median (मध्य): The middle value when data is arranged in order.
  Example: Median of 1, 3, 7 = 3.
  उदाहरण: 1, 3, 7 का मध्य = 3।

• Mode (मोड): The value that occurs most frequently.
  Example: Mode of 2, 2, 3, 4 = 2.
  उदाहरण: 2, 2, 3, 4 का मोड = 2।

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Study Kunji - By Prem sir Math Expert 9470710586  

Simri Bakhtiyarpur Saharsa Bihar-852127