Topics
Basic Concepts in Geometry
Angles
Integers
Operations on Fractions
Decimal Fractions
Bar Graphs
Symmetry
Divisibility
HCF-LCM
Equations
Ratio and Proportion
Percentage
Profit –Loss
- Basic Concepts of Profit and Loss
- Profit or Loss as a Percentage
- Total Cost Price in Mathematics
Banks and Simple Interest
Triangles and Their Properties
Quadrilaterals
Geometrical Constructions
Three Dimensional Shapes
- Prism
- Cubes
- Basic Concept of Cylinder
- Pyramid
- Basic Concept of Cone
- Basic Concept of Spheres
- Definition: Decimal Fraction
- Positional Notation and Fraction Representation
Definition
Decimal Fractions:
A fraction whose denominator is 10, 100, 1000, or any other ten-times multiple of 10 is called a decimal fraction.
For example, `"5"/"10"`, `"68"/"100"`, and `"285"/"100"`.
Maharashtra State Board: Class 5
Positional Notation and Fraction Representation
1. Structure Based on Powers of Ten:
- Each place value is ten times the value of the position to its right.
2. Examples of Place Values:
- The tens place is 10 times the unit's place.
- The hundreds place is 10 times the tens place.
3. Moving in the Opposite Direction (Division by Ten):
- Dividing 100 by 10 results in 10.
- Dividing 10 by 10 results in 1 (units place).
- Dividing 1 (unit) by 10 results in `"1"/"10"` (one-tenth).
4. Introduction of the Decimal Place:
- Dividing a unit into ten equal parts introduces a new place value.
- This place, positioned to the right of the unit's place, is called the tenth place or the first decimal place.
