Convert the following using the metric converter.

Convert the following using the metric converter. 1.) 7 m to dam 2.) 9 km to m 3.) 752 cm to mm 4.) 57.3 m to mm 5.) 99 mm to km 6.) 42.17 m to km 7.) 8456 mm to m 8.) 426 cm to mm 9.) 15 dm to hm 10.) 18 m to dam metric converter km hm dam m dm cm mm

The Correct Answer and Explanation is:

Here are the correct metric conversions:

1. 7 meters (m) to decameters (dam):
   7 m ÷ 10 = 0.7 dam
2. 9 kilometers (km) to meters (m):
   9 km × 1,000 = 9,000 m
3. 752 centimeters (cm) to millimeters (mm):
   752 cm × 10 = 7,520 mm
4. 57.3 meters (m) to millimeters (mm):
   57.3 m × 1,000 = 57,300 mm
5. 99 millimeters (mm) to kilometers (km):
   99 mm ÷ 1,000,000 = 0.000099 km
6. 42.17 meters (m) to kilometers (km):
   42.17 m ÷ 1,000 = 0.04217 km
7. 8456 millimeters (mm) to meters (m):
   8456 mm ÷ 1,000 = 8.456 m
8. 426 centimeters (cm) to millimeters (mm):
   426 cm × 10 = 4,260 mm
9. 15 decimeters (dm) to hectometers (hm):
   15 dm ÷ 1,000 = 0.015 hm
10. 18 meters (m) to decameters (dam):
    18 m ÷ 10 = 1.8 dam

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Explanation

The metric system is a decimal-based measurement system used around the world. It is structured using base units and prefixes that represent powers of ten. The metric units used in these conversions include kilometer (km), hectometer (hm), decameter (dam), meter (m), decimeter (dm), centimeter (cm), and millimeter (mm).

Each step up or down in the metric scale changes the unit by a factor of ten. For example, moving from meters to millimeters involves multiplying by 1,000, because there are 1,000 millimeters in a meter. Similarly, to convert from millimeters to kilometers, you divide by 1,000,000.

Here is a useful order of units from largest to smallest:
km > hm > dam > m > dm > cm > mm

Each “step” to the right means multiplying by 10, while each step to the left means dividing by 10. For example:

• To go from m to dam, divide by 10.
• To go from km to m, multiply by 1,000.
• To go from cm to mm, multiply by 10.
• To go from mm to km, divide by 1,000,000.

Using this logical structure, you can convert between any metric units by counting the number of steps and multiplying or dividing by the appropriate power of ten. This makes the metric system very consistent and easy to use once the relationships are understood.