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Convert fractions of kilometers to meters. Specifically, convert 1/10 km and 1/5 km to meters.

Mathematics

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Answers

2 parts
a

100 m100 \text{ m}

b

200 m200 \text{ m}

Step-by-step solution

4 steps

here are the solutions to convert kilometers to meters.

Part a· 2 steps

Convert 110\frac{1}{10} km to metres.

  1. Recall the conversion factor between kilometers and meters.

    There are 1000 meters in 1 kilometer.

  2. Multiply the given fraction of a kilometer by the conversion factor.

    110 km×1000 m/km=100010 m=100 m\frac{1}{10} \text{ km} \times 1000 \text{ m/km} = \frac{1000}{10} \text{ m} = 100 \text{ m}

    So, 110\frac{1}{10} km is 100 m100 \text{ m}.

    The final answer is 100 m\boxed{100 \text{ m}}.

Part b

200 m200 \text{ m}

Convert 15\frac{1}{5} km to metres.

  1. Recall the conversion factor between kilometers and meters.

    There are 1000 meters in 1 kilometer.

  2. Multiply the given fraction of a kilometer by the conversion factor.

    15 km×1000 m/km=10005 m=200 m\frac{1}{5} \text{ km} \times 1000 \text{ m/km} = \frac{1000}{5} \text{ m} = 200 \text{ m}

    So, 15\frac{1}{5} km is 200 m200 \text{ m}.

    The final answer is 200 m\boxed{200 \text{ m}}.

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