Topics
Roman Numerals
Number Work
Addition and Subtraction
Multiplication and Division
Fractions
- Types of Fractions
- Concept of Equivalent Fractions
- Like and Unlike Fraction
- Concept of Mixed Fractions
- Concept of Proper and Improper Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Using Operator 'Of' with Multiplication and Division
Angles
Circles
Multiples and Factors
Decimal Fractions
Measuring Time
Problems on Measurement
Perimeter and Area
Three Dimensional Objects and Nets
Pictographs
Patterns
Preparation for Algebra
Maharashtra State Board: Class 5
Decimals Used for Measurement
In our daily lives, we frequently measure distance, mass (weight), and volume using appropriate units. The most commonly used units for these measurements are:
- Distance: Kilometre (km), metre (m), and centimetre (cm).
- Volume: Litre (L) and millilitre (mL).
- Mass: Kilogram (kg) and gram (g).
All these units follow the decimal system of measurement:
- Metre (m) is the fundamental unit for measuring distance.
- Gram (g) serves as the fundamental unit for mass.
- Litre (L) is the fundamental unit for volume.
Larger units increase by a factor of 10 at each step, while smaller units decrease by a factor of 1/10 (one-tenth) at each step.
The following table illustrates these relationships:
| Quantity | Kilo (Thousand) | Hecto (Hundred) | Deca (Ten) | Basic Unit | Deci (Tenth) | Centi (Hundredth) | Milli (Thousandth) |
|---|---|---|---|---|---|---|---|
| Distance | 1 kilometre = 1000 m | 1 hectometre = 100 m | 1 decametre = 10 m | Meter (m) | 1 decimetre = 1/10 m | 1 centimetre = 1/100 m | 1 millimetre = 1/1000 m |
| Mass | 1 kilogram = 1000 g | 1 hectogram = 100 g | 1 decagram = 10 g | Gram (g) | 1 decigram = 1/10 g | 1 centigram = 1/100 g | 1 milligram = 1/1000 g |
| Volume | 1 kilolitre = 1000 L | 1 hectolitre = 100 L | 1 decalitre = 10 L | Litre (L) | 1 decilitre = 1/10 L | 1 centilitre = 1/100 L | 1 millilitre = 1/1000 L |
