Math Problem Statement

Convert various metric units to meters and other specified units based on the image provided.

Solution

Let's solve each of these conversions. Here's a step-by-step solution for each one:

Key Conversion Factors

  1. 1km=1000m1 \, \text{km} = 1000 \, \text{m}
  2. 1dam=10m1 \, \text{dam} = 10 \, \text{m}
  3. 1hm=100m1 \, \text{hm} = 100 \, \text{m}
  4. 1Mm=1,000,000m1 \, \text{Mm} = 1,000,000 \, \text{m}
  5. 1Gm=1,000,000,000m1 \, \text{Gm} = 1,000,000,000 \, \text{m}
  6. 1dm=0.1m1 \, \text{dm} = 0.1 \, \text{m}
  7. 1cm=0.01m1 \, \text{cm} = 0.01 \, \text{m}
  8. 1mm=0.001m1 \, \text{mm} = 0.001 \, \text{m}
  9. 1µm=0.000001m1 \, \text{µm} = 0.000001 \, \text{m}
  10. 1nm=0.000000001m1 \, \text{nm} = 0.000000001 \, \text{m}

Solutions

  1. 1 km = 1×1000=1000m1 \times 1000 = 1000 \, \text{m}
  2. 5 km = 5×1000=5000m5 \times 1000 = 5000 \, \text{m}
  3. 7 km = 7×1000=7000m7 \times 1000 = 7000 \, \text{m}
  4. 6 dam = 6×10=60m6 \times 10 = 60 \, \text{m}
  5. 12 hm = 12×100=1200m12 \times 100 = 1200 \, \text{m}
  6. 15 km = 15×1000=15000m15 \times 1000 = 15000 \, \text{m}
  7. 16 Mm = 16×1,000,000=16,000,000m16 \times 1,000,000 = 16,000,000 \, \text{m}
  8. 25 Gm = 25×1,000,000,000=25,000,000,000m25 \times 1,000,000,000 = 25,000,000,000 \, \text{m}
  9. 4 dm = 4×0.1=0.4m4 \times 0.1 = 0.4 \, \text{m}
  10. 3 cm = 3×0.01=0.03m3 \times 0.01 = 0.03 \, \text{m}
  11. 8 mm = 8×0.001=0.008m8 \times 0.001 = 0.008 \, \text{m}
  12. 9 µm = 9×0.000001=0.000009m9 \times 0.000001 = 0.000009 \, \text{m}
  13. 11 nm = 11×0.000000001=0.000000011m11 \times 0.000000001 = 0.000000011 \, \text{m}
  14. 1 m = 1×10=10dm1 \times 10 = 10 \, \text{dm}
  15. 5 m = 5×100=500cm5 \times 100 = 500 \, \text{cm}
  16. 7 m = 7×1000=7000mm7 \times 1000 = 7000 \, \text{mm}

Would you like further explanations on any of these conversions?

Related Questions:

  1. What is the conversion for 1 kilometer in millimeters?
  2. How do you convert from meters to decimeters?
  3. If you have 15 Mm, how many centimeters is that?
  4. What is the process for converting between different metric units?
  5. How many micrometers are there in 1 meter?

Tip:

When converting within the metric system, each step typically involves multiplying or dividing by powers of 10, making it straightforward once you know the basic conversion factors.

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Math Problem Analysis

Mathematical Concepts

Metric System Conversion
Multiplication of Units

Formulas

1 km = 1000 m
1 dam = 10 m
1 hm = 100 m
1 Mm = 1,000,000 m
1 Gm = 1,000,000,000 m
1 dm = 0.1 m
1 cm = 0.01 m
1 mm = 0.001 m
1 µm = 0.000001 m
1 nm = 0.000000001 m

Theorems

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Suitable Grade Level

Grades 5-7