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Convert to the units shown in brackets. a) 1000m (km): b) 3000m (km): c) 4000m (km): d) 1548m (km+m): e) 2235m (km+m): f) 4849m (km+m): g) 3245m (km+m): h) 4323m (km+m):

Mathematics

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Step-by-step solution

11 steps

Here are the conversions:

a) Convert 1000 m1000 \text{ m} to (km)(\text{km}):

  1. Recall that 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    To convert meters to kilometers, divide by 1000.

    1000 m=10001000 km1000 \text{ m} = \frac{1000}{1000} \text{ km}
  2. Perform the division.

    1000 m=1 km1000 \text{ m} = 1 \text{ km}

    a) 1 km\boxed{1 \text{ km}}

    b) Convert 3000 m3000 \text{ m} to (km)(\text{km}):

  3. Divide the meters by 1000 to get kilometers.

    3000 m=30001000 km3000 \text{ m} = \frac{3000}{1000} \text{ km}
  4. Perform the division.

    3000 m=3 km3000 \text{ m} = 3 \text{ km}

    b) 3 km\boxed{3 \text{ km}}

    c) Convert 4000 m4000 \text{ m} to (km)(\text{km}):

  5. Divide the meters by 1000 to get kilometers.

    4000 m=40001000 km4000 \text{ m} = \frac{4000}{1000} \text{ km}
  6. Perform the division.

    4000 m=4 km4000 \text{ m} = 4 \text{ km}

    c) 4 km\boxed{4 \text{ km}}

    d) Convert 1548 m1548 \text{ m} to (km+m)(\text{km} + \text{m}):

  7. Divide 1548 by 1000 to find the kilometers and the remainder for meters.

    1548 m=1 km+548 m1548 \text{ m} = 1 \text{ km} + 548 \text{ m}

    d) 1 km 548 m\boxed{1 \text{ km } 548 \text{ m}}

    e) Convert 2235 m2235 \text{ m} to (km+m)(\text{km} + \text{m}):

  8. Divide 2235 by 1000 to find the kilometers and the remainder for meters.

    2235 m=2 km+235 m2235 \text{ m} = 2 \text{ km} + 235 \text{ m}

    e) 2 km 235 m\boxed{2 \text{ km } 235 \text{ m}}

    f) Convert 4849 m4849 \text{ m} to (km+m)(\text{km} + \text{m}):

  9. Divide 4849 by 1000 to find the kilometers and the remainder for meters.

    4849 m=4 km+849 m4849 \text{ m} = 4 \text{ km} + 849 \text{ m}

    f) 4 km 849 m\boxed{4 \text{ km } 849 \text{ m}}

    g) Convert 3245 m3245 \text{ m} to (km+m)(\text{km} + \text{m}):

  10. Divide 3245 by 1000 to find the kilometers and the remainder for meters.

    3245 m=3 km+245 m3245 \text{ m} = 3 \text{ km} + 245 \text{ m}

    g) 3 km 245 m\boxed{3 \text{ km } 245 \text{ m}}

    h) Convert 4323 m4323 \text{ m} to (km+m)(\text{km} + \text{m}):

  11. Divide 4323 by 1000 to find the kilometers and the remainder for meters.

    4323 m=4 km+323 m4323 \text{ m} = 4 \text{ km} + 323 \text{ m}

    h) 4 km 323 m\boxed{4 \text{ km } 323 \text{ m}}

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