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 Week 1 day 1
The Correct Answer and Explanation is:
Here are the correct metric conversions:
- 7 m to dam:
7 ÷ 10 = 0.7 dam - 9 km to m:
9 × 1,000 = 9,000 m - 752 cm to mm:
752 × 10 = 7,520 mm - 57.3 m to mm:
57.3 × 1,000 = 57,300 mm - 99 mm to km:
99 ÷ 1,000,000 = 0.000099 km - 42.17 m to km:
42.17 ÷ 1,000 = 0.04217 km - 8456 mm to m:
8456 ÷ 1,000 = 8.456 m - 426 cm to mm:
426 × 10 = 4,260 mm - 15 dm to hm:
15 ÷ 1,000 = 0.015 hm - 18 m to dam:
18 ÷ 10 = 1.8 dam
Explanation:
Metric conversion involves changing a measurement from one unit to another within the metric system. This system is based on powers of 10, which makes it easier to convert between units by simply multiplying or dividing.
To convert to a larger unit, divide by the correct power of 10. For example, converting meters to decameters means dividing by 10 since a decameter is 10 meters. In the same way, meters to kilometers requires dividing by 1,000, because 1 kilometer equals 1,000 meters.
To convert to a smaller unit, multiply by the correct power of 10. For instance, converting centimeters to millimeters means multiplying by 10 because each centimeter contains 10 millimeters. If you’re converting meters to millimeters, you multiply by 1,000.
You can also use a metric staircase or ladder, which organizes the units from largest to smallest:
kilo (km) → hecto (hm) → deca (dam) → meter (m) → deci (dm) → centi (cm) → milli (mm)
Each step up or down involves multiplying or dividing by 10. Moving three steps down from meters to millimeters means multiplying by 1,000.
Using this consistent system helps make calculations fast and easy. You don’t need complicated formulas—just understanding how many steps up or down the unit ladder you’re moving and applying powers of ten accordingly.
