Basic Mathematics for All

• 1. Step 1. Number-> Demo class Link: Digital Hand Book: Link Course Link :
  2. Index of number
  3. English Language →
  4. Numbers or Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
  5. Face Value and Place Value:
     1. 1. Face value: The digit itself.
        2. Place value: Value based on position in the number.
  6. Place Value Systems:
     1. 1. National System: Units, Thousands, Lakhs, Crores.
        2. International System: Units, Thousands, Millions, Billions.
  7. Two-Digit Numbers: Numbers from 10 to 99, with digits at the Tens and Ones place.
  8. Three-Digit Numbers: Numbers from 100 to 999, with digits at the Hundreds, Tens, and One’s place.
  9. Four-Digit Numbers: Numbers from 1000 to 9999, with digits at the Thousands, Hundreds, Tens, and One’s place.
  10. Numbers Beyond A Thousand: Exploring numbers like ten thousand, hundred thousand, million, billion, etc.
  11. Numbers on the Abacus: Representation of numbers using an abacus.
  12. Ordering of Numbers:
      1. 1. Before/After/Between Numbers: Understanding relative position of numbers.
         2. Greater Than/Less Than: Comparisons of two numbers.
  13. Ordinal Numbers: First, Second, Third, etc.
  14. Odd Numbers: Numbers not divisible by 2.
  15. Even Numbers: Numbers divisible by 2.
  16. Prime Numbers: Numbers greater than 1 with only two divisors, 1 and itself.
  17. Numbers in Ascending Order: Arranging numbers from smallest to largest.
  18. Numbers in Descending Order: Arranging numbers from largest to smallest.
  19. Predecessor and Successor of Numbers:
      1. 1. Predecessor: The number before.
         2. Successor: The number after.
  20. Rounding Numbers: Rounding to the nearest tens, hundreds, thousands, etc.
  21. Number Names: Writing numbers in words (e.g., 123 as “one hundred twenty-three”).
  22. Numbers in Numerals: Writing number names as digits.
  23. Numbers in Expanded Form: Breaking down a number based on place values (e.g., 456 as 400 + 50 + 6).
  24. Numbers in Standard Form: Representing large numbers using powers of 10 (scientific notation).
  25. Largest and Smallest Numbers: Identifying the largest and smallest numbers within a range.
  26. Extension of the Number System: Introduction to negative numbers, fractions, and decimals.
  27. Operations with Large Numbers: Addition, subtraction, multiplication, and division of large numbers.
  28. Symbols in Numbers:
      1. 1. Use of symbols like comma (,), greater than (>), less than (<), plus (+), minus (-), equals (=), division (/), multiplication (*), etc.
  29. Roman Numbers: Representation of numbers in Roman numerals.
  30. Italic Numbers: Use of italicized numbers (context-specific usage).
  31. Greek Numbers: Ancient Greek numeral system (optional depending on context).
  32. Bengali Numbers: Numbers written in Bengali script (০, ১, ২, ৩, ৪, ৫, ৬, ৭, ৮, ৯).
  33. Composite Numbers: Numbers that have more than two factors.
  34. Perfect Numbers: Numbers whose divisors sum to the number itself (e.g., 6, 28).
  35. Natural Numbers: Positive integers (1, 2, 3,…).
  36. Whole Numbers: Non-negative integers (0, 1, 2,…).
  37. Integers: Positive, negative, and zero numbers (-3, -2, -1, 0, 1, 2, 3,…).
  38. Real Numbers: All numbers that can be found on the number line (including fractions and decimals).
  39. Rational Numbers: Numbers that can be expressed as a ratio of two integers.
  40. Irrational Numbers: Numbers that cannot be expressed as a ratio (e.g., √2, π).
  41. Square and Cube Numbers: Numbers raised to the power of 2 (squared) or 3 (cubed).
  42. Number Patterns: Identifying patterns in sequences of numbers.
  43. Fibonacci Numbers: The Fibonacci sequence, where each number is the sum of the two preceding ones.
  44. Factorial Numbers: Product of all positive integers up to a number (n!).
  45. Consecutive Numbers: Numbers that follow one another in order without gaps.
  46. Binary Numbers: Numbers represented in base-2 (0 and 1).
  47. Hexadecimal Numbers: Numbers represented in base-16 (0-9 and A-F).
  48. Octal Numbers: Numbers represented in base-8 (0-7).
  49. Complex Numbers: Numbers that include both a real part and an imaginary part (e.g., 3 + 4i).
  50. Significant Figures: The number of important digits in a number.
  51. Exponential Numbers: Numbers expressed using powers (e.g., 10^3 = 1000).
  52. Logarithms: The inverse operation of exponentiation.
  53. Modulo: Remainder operation in division (e.g., 10 mod 3 = 1).
  54. Perfect Squares: Numbers that are the square of integers (e.g., 1, 4, 9, 16).
  55. Perfect Cubes: Numbers that are the cube of integers (e.g., 1, 8, 27, 64).
  56. Pythagorean Triples: Sets of three numbers that satisfy the Pythagorean theorem (e.g., 3, 4, 5).
  57. Amicable Numbers: Two numbers, where each number is the sum of the divisors of the other.
  58. Deficient, Perfect, and Abundant Numbers: Based on whether the sum of divisors is less than, equal to, or greater than the number itself.
  59. Palindromic Numbers: Numbers that are the same forward and backward (e.g., 121).
  60. Transcendental Numbers: Numbers that are not the root of any non-zero polynomial equation with rational coefficients (e.g., π and e).
  61. Gaussian Integers: Complex numbers where both the real and imaginary parts are integers.
• 1. 1. 1. Step 2.Addition vs Multiplication
        2. Addition
        3. Multiplication
•  Step 3. Subtraction Vs Division
  1. Subtraction
  2. Division
  3. Fraction
  4. Decimales & Their aplication
  5. Metric Measure and Temprature
  6. money in everyday Life
  7. Time
  8. Symetry ,Pattern,Nets and maps
  9. Everage
  10. Primary Statistices

STEP-4 HIGH SECTION

• 1. Exponents & Logarithms
  2. Factors
  3. LCM & HCF/GCF
  4. fraction Algabric
  5. Simplify
  6. Solve
  7. Unitery Mathod
  8. Percentage
  9. Proportion
  10. Profit & Loss
  11. Set & Funtion
  12. Siries
  13. Pattern
  14.