convert each of the following into centimetre 10 dm 1 dam 10m ans In process plz first
The Correct Answer and Explanation is:
Let’s break down each of the conversions step by step.
- 10 dm (decimeters) to centimeters:
- 1 decimeter (dm) is equal to 10 centimeters (cm).
- Therefore, to convert 10 dm to centimeters, you multiply by 10: 10 dm×10=100 cm10 \, \text{dm} \times 10 = 100 \, \text{cm}10dm×10=100cm
- 1 dam (dekameter) to centimeters:
- 1 dekameter (dam) is equal to 10 meters (m).
- 1 meter is equal to 100 centimeters.
- So, to convert 1 dam to centimeters, first convert it to meters, then to centimeters: 1 dam×10=10 m1 \, \text{dam} \times 10 = 10 \, \text{m}1dam×10=10m 10 m×100=1000 cm10 \, \text{m} \times 100 = 1000 \, \text{cm}10m×100=1000cm
- 10 meters to centimeters:
- 1 meter is equal to 100 centimeters.
- Therefore, to convert 10 meters to centimeters, multiply by 100: 10 m×100=1000 cm10 \, \text{m} \times 100 = 1000 \, \text{cm}10m×100=1000cm
Summary of Results:
- 10 dm = 100 cm
- 1 dam = 1000 cm
- 10 m = 1000 cm
Each unit in the metric system follows a specific relationship based on powers of 10. For example, moving from larger units like meters or dekameters to smaller ones like centimeters involves multiplying by factors of 10, depending on how many steps you need to move between units. In the case of decimeters (dm), you multiply by 10 because a decimeter is one-tenth of a meter, whereas a dekameter is 10 meters, which is then converted to centimeters by multiplying by 100. Similarly, meters to centimeters is a simple multiplication by 100.
