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Name the instruments that are used to measure the following. (i) Length of a soccer field (ii) Things that are not straight (iii) Distance that you have travelled in a vehicle

Mathematics

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Step-by-step solution

14 steps

Here are the answers to the questions:

  1. Convert 15 mm to m.
  1. Recall the conversion factor from millimeters to centimeters.

    $$
    1 \text{ cm} = 10 \text{ mm} \implies 1 \text{ mm} = \frac{1}{10} \text{ cm}
    $$
    
  2. Convert millimeters to centimeters.

    $$
    15 \text{ mm} = 15 \times \frac{1}{10} \text{ cm} = 1.5 \text{ cm}
    $$
    
  3. Recall the conversion factor from centimeters to meters.

    $$
    1 \text{ m} = 100 \text{ cm} \implies 1 \text{ cm} = \frac{1}{100} \text{ m}
    $$
    
  4. Convert centimeters to meters.

    $$
    1.5 \text{ cm} = 1.5 \times \frac{1}{100} \text{ m} = 0.015 \text{ m}
    $$
    The conversion is $\boxed{\text{0.015 m}}$.
    

    6. Convert 28 cm to km.

  5. Recall the conversion factor from centimeters to meters.

    $$
    1 \text{ m} = 100 \text{ cm} \implies 1 \text{ cm} = \frac{1}{100} \text{ m}
    $$
    
  6. Convert centimeters to meters.

    $$
    28 \text{ cm} = 28 \times \frac{1}{100} \text{ m} = 0.28 \text{ m}
    $$
    
  7. Recall the conversion factor from meters to kilometers.

    $$
    1 \text{ km} = 1000 \text{ m} \implies 1 \text{ m} = \frac{1}{1000} \text{ km}
    $$
    
  8. Convert meters to kilometers.

    $$
    0.28 \text{ m} = 0.28 \times \frac{1}{1000} \text{ km} = 0.00028 \text{ km}
    $$
    The conversion is $\boxed{\text{0.00028 km}}$.
    

    7. Convert 12 km to mm.

  9. Recall the conversion factor from kilometers to meters.

    $$
    1 \text{ km} = 1000 \text{ m}
    $$
    
  10. Convert kilometers to meters.

    $$
    12 \text{ km} = 12 \times 1000 \text{ m} = 12000 \text{ m}
    $$
    
  11. Recall the conversion factor from meters to centimeters.

    $$
    1 \text{ m} = 100 \text{ cm}
    $$
    
  12. Convert meters to centimeters.

    $$
    12000 \text{ m} = 12000 \times 100 \text{ cm} = 1200000 \text{ cm}
    $$
    
  13. Recall the conversion factor from centimeters to millimeters.

    $$
    1 \text{ cm} = 10 \text{ mm}
    $$
    
  14. Convert centimeters to millimeters.

    $$
    1200000 \text{ cm} = 1200000 \times 10 \text{ mm} = 12000000 \text{ mm}
    $$
    The conversion is $\boxed{\text{12000000 mm}}$.
    
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