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I) 1999 m (km) ii) 630 m (km) Leave your answer in fraction form. iii) 3875 m (km) Leave your answer in fraction form. iv) 4250 m (km) Leave your answer in fraction form.

Mathematics

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Here are the conversions:

i) Convert 1999 m1999 \text{ m} to (km+m)(\text{km} + \text{m}):

  1. Divide 1999 by 1000 to find the kilometers and the remainder for meters.

    1999 m=1 km+999 m1999 \text{ m} = 1 \text{ km} + 999 \text{ m}

    i) 1 km 999 m\boxed{1 \text{ km } 999 \text{ m}}

    j) Convert 6330 m6330 \text{ m} to (km)(\text{km}). Leave your answer in fraction form:

  2. Convert meters to kilometers by dividing by 1000.

    6330 m=63301000 km6330 \text{ m} = \frac{6330}{1000} \text{ km}

  3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 10.

    63301000=633100 km\frac{6330}{1000} = \frac{633}{100} \text{ km}

  4. Express the improper fraction as a mixed number.

    633100 km=633100 km\frac{633}{100} \text{ km} = 6 \frac{33}{100} \text{ km}

    j) 633100 km\boxed{6 \frac{33}{100} \text{ km}}

    k) Convert 3875 m3875 \text{ m} to (km)(\text{km}). Leave your answer in fraction form:

  5. Convert meters to kilometers by dividing by 1000.

    3875 m=38751000 km3875 \text{ m} = \frac{3875}{1000} \text{ km}

  6. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 125.

    3875÷1251000÷125 km=318 km\frac{3875 \div 125}{1000 \div 125} \text{ km} = \frac{31}{8} \text{ km}

  7. Express the improper fraction as a mixed number.

    318 km=378 km\frac{31}{8} \text{ km} = 3 \frac{7}{8} \text{ km}

    k) 378 km\boxed{3 \frac{7}{8} \text{ km}}

    l) Convert 4250 m4250 \text{ m} to (km)(\text{km}). Leave your answer in fraction form:

  8. Convert meters to kilometers by dividing by 1000.

    4250 m=42501000 km4250 \text{ m} = \frac{4250}{1000} \text{ km}

  9. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 250.

    4250÷2501000÷250 km=174 km\frac{4250 \div 250}{1000 \div 250} \text{ km} = \frac{17}{4} \text{ km}

  10. Express the improper fraction as a mixed number.

    174 km=414 km\frac{17}{4} \text{ km} = 4 \frac{1}{4} \text{ km}

    l) 414 km\boxed{4 \frac{1}{4} \text{ km}}

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