Introduction
Conversions in mathematics involve changing a quantity from one unit to another. This is essential in daily life, from measuring distances to handling money.
Units of Measurement
Length
- 1 kilometer (km) = 1000 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 centimeter (cm) = 10 millimeters (mm)
Weight
- 1 kilogram (kg) = 1000 grams (g)
- 1 gram (g) = 1000 milligrams (mg)
Capacity
- 1 liter (L) = 1000 milliliters (mL)
Time
- 1 hour = 60 minutes
- 1 minute = 60 seconds
Money
- 1 rupee = 100 paise
Conversion Methods
Multiplication and Division
To convert a larger unit to a smaller unit, multiply. To convert a smaller unit to a larger unit, divide.
Examples
Example 1: Convert 5 km to meters.
Since 1 km = 1000 m,
5 km = 5 × 1000 = 5000 meters
Example 2: Convert 3000 grams to kilograms.
Since 1 kg = 1000 g,
3000 g = 3000 ÷ 1000 = 3 kg
Application of Conversions
- Cooking measurements
- Travel distances
- Understanding time schedules
- Shopping and currency exchange
Conclusion
Conversions help in understanding and using different units in real-life situations. Mastering conversions is essential for practical mathematical applications.