Metric Conversions: 1 decimeter one tenth of a meter. 1 centimeter one hundredth of a meter. 1 millimeter one thousandth of a meter. 1m = 1000mm 1m = 100cm 1 * dm = 10cm 1m = 10dm 1 * dm = 100mm 1cm = 10mm
The Correct Answer and Explanation is :
Metric Conversions Explanation:
The metric system is a decimal-based system of measurement that is widely used around the world. It uses powers of 10 for conversions, making it easier to convert between units. Let’s break down the information you provided:
- Decimeter (dm): A decimeter is one-tenth of a meter (1 dm = 0.1 m). So, one meter is equal to 10 decimeters (1 m = 10 dm). This means that 1 decimeter is 10 centimeters (1 dm = 10 cm).
- Centimeter (cm): A centimeter is one-hundredth of a meter (1 cm = 0.01 m). Since 1 meter is equal to 100 centimeters, we can say that 1 cm = 10 millimeters (1 cm = 10 mm).
- Millimeter (mm): A millimeter is one-thousandth of a meter (1 mm = 0.001 m). There are 1,000 millimeters in one meter (1 m = 1,000 mm).
Conversions:
- 1 meter = 10 decimeters (1 m = 10 dm)
- 1 meter = 100 centimeters (1 m = 100 cm)
- 1 meter = 1,000 millimeters (1 m = 1,000 mm)
- 1 decimeter = 10 centimeters (1 dm = 10 cm)
- 1 decimeter = 100 millimeters (1 dm = 100 mm)
- 1 centimeter = 10 millimeters (1 cm = 10 mm)
Example Problem:
Let’s say we want to convert 3 meters to centimeters. Since 1 meter is equal to 100 centimeters, we multiply 3 meters by 100:
( 3 \, \text{m} \times 100 = 300 \, \text{cm} )
This means 3 meters is equal to 300 centimeters.
Explanation of Conversions:
The metric system simplifies conversions between units. To convert between units, you multiply or divide by powers of 10. For example, converting from a larger unit (like meters) to a smaller unit (like millimeters) involves multiplying by 10 for each step. Conversely, converting from a smaller unit (like millimeters) to a larger unit (like meters) involves dividing by 10 for each step. This makes the metric system very efficient for a wide range of applications, from science to everyday measurements.