Basics Of Mathematics

    Mathematics, also known as math, is the study of numbers, quantities, and their relationships to each other and to the real world. It also includes the study of shapes, space, and change.

Some Of the Basics of Maths:-       
NUMBERS 

  • - Natural Numbers: 1, 2, 3, ...,
  •  Whole Numbers: 0, 1, 2, 3, ...
  •  Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...,
  •  Fractions: 1/2, 3/4, 2/3, ...,
  •  Decimals: 0.5, 0.25, 0.75, ...

OPERATIONS

  1. - Addition (+)
  2. Subtraction (-)
  3. Multiplication (×)
  4. Division (÷)

BASIC CONCEPTS 

  • - Place Value: ones, tens, hundreds, ...
  • Rounding: rounding numbers to the nearest ten, hundred, ...
  • Comparing Numbers:greater than (>), less than (<), equal to (=)
  • Basic Algebra: variables, constants, simple equations

MATHEMATICAL PROPERTIES 

  1. -Commutative Property: a + b = b + A
  2. Associative Property: (a + b) + c = a + (b + c)
  3. Distributive Property: a(b + c) = ab + ac

BASIC GEOMETRY 

  • - Points, Lines, Angles
  • Shapes: squares, circles, triangles, rectangles, ...
  • Measurement: perimeter, area, volume

BASIC MEASUREMENT 

  • - Units: inches, feet, yards, ...
  • Conversion: converting between Units
  • Time: hours, minutes,seconds,...

PERCENTAGE 

  • - Finding percentages: 25% of 100

  • Increasing/decreasing by a percentage: 25% increase, 10% D decrease

Percentage change: finding the percentage difference between two values.   

  RATIOS AND PROPORTIONAL       RELATIONSHIPS

  • - Equivalent ratios: 2:3 = 4:6
  •  Writing ratios in simplest for K
  •  Identifying proportional relationships

BASIC STATISTICS

  1. - Mean (average): finding the mean of a set of numbers
  2. Median: finding the middle value in a set of NUMBERS
  3. Mode: finding the most frequently occurring value

BASIC GRAPHS 

  • - Reading and interpreting simple GRAPHS
  •  Understanding x and y A axes
  •  Plotting points on a graph

WORD PROBLEMS 

  • - Translating word problems into math equations
  • Solving word problems using various operations

EXPONENTS AND POWERS

  • - Understanding exponents: 2^3, 5^2
  •  Simplifying expressions with EXPONENTS
  •  Negative exponents and fractions

BASIC MATH FUNCTIONS

  • - Domain and range of a function
  •  Evaluating functions: f(x) = 2x + 1
  •  Understanding function notation

BASIC SHAPES OF MATHEMATICS  

  1. POINTS:- A location in space, represented by a dot.
  2. LINE:- A set of points extending infinitely in  two directions.
  3. RAY:- A line starting from a point and extending infinitely in one direction.
  4. LINE SEGMENT:- A part of a line between      two points.
  5. ANGLE:-Formed by two rays sharing a common endpoint.
  6. CIRCLE:- A set of points equidistant from a central point (the center). 
  7. SEMICIRCLE:- Half of a circle.
  8. Triangle:- A polygon with three sides and three angles. 
  9. QUADRILATERAL:- A polygon with four sides and four angles.
  10. POLYGON:- A shape with at least three sides and angles.
  11. RECTANGLE:- A quadrilateral with opposite sides of equal length and right angles.
  12. SQUARE:- A rectangle with all sides of equal length.
  13. RHOMBUS:- A quadrilateral with all sides of equal length.
  14. TRAPEZOID:- A quadrilateral with two pairs of opposite sides.
  15. PARALLELOGRAM:-  A quadrilateral with opposite sides parallel.  
                   These basic shapes are the building blocks for more complex shapes and are used in various mathematical concepts, such as geometry, trigonometry, and calculus.


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