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My car has to go for a service in 2 871 km. I drove 1 264 km during the month. How many kilometres before I have to take my car for the service?

Mathematics

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: My father's desk is 3300 mm3300 \text{ mm} long and mine measures 6200 mm6200 \text{ mm}. How much longer is my desk than my father's desk? Write down your answer in mm and cm, and then in m.

  1. Calculate the difference in length in millimeters.

    6200 mm−3300 mm=2900 mm6200 \text{ mm} - 3300 \text{ mm} = 2900 \text{ mm}
  2. Convert the difference to centimeters.

    Since 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}, divide by 10.

    2900 mm÷10=290 cm2900 \text{ mm} \div 10 = 290 \text{ cm}
  3. Convert the difference to meters.

    Since 1 m=1000 mm1 \text{ m} = 1000 \text{ mm}, divide by 1000.

    2900 mm÷1000=2.9 m2900 \text{ mm} \div 1000 = 2.9 \text{ m}
  4. Express the answer in meters and centimeters.

    2.9 m2.9 \text{ m} is 2 m2 \text{ m} and 0.9 m0.9 \text{ m}. Convert 0.9 m0.9 \text{ m} to centimeters (0.9×100=90 cm0.9 \times 100 = 90 \text{ cm}).
    The difference is 2900 mm, 290 cm, 2 m 90 cm, or 2.9 m\boxed{\text{2900 mm, 290 cm, 2 m 90 cm, or 2.9 m}}.

    : I bought 90 m90 \text{ m} of wool. I used 1912 m19 \frac{1}{2} \text{ m}. How much wool do I have left? Write your answer in m.

  5. Convert the mixed fraction to a decimal.

    1912 m=19.5 m19 \frac{1}{2} \text{ m} = 19.5 \text{ m}
  6. Subtract the used wool from the initial amount.

    90 m−19.5 m=70.5 m90 \text{ m} - 19.5 \text{ m} = 70.5 \text{ m}

    You have 70.5 m\boxed{\text{70.5 m}} of wool left.

    : Sandra and Sipho travelled 1520 km1520 \text{ km}. Sandra drove 579 km579 \text{ km}. How far did Sipho drive?

  7. Subtract the distance Sandra drove from the total distance travelled.

    1520 km−579 km=941 km1520 \text{ km} - 579 \text{ km} = 941 \text{ km}

    Sipho drove 941 km\boxed{\text{941 km}}.

    : My car has to go for a service in 2871 km2871 \text{ km}. I drove 1264 km1264 \text{ km} during the month. How many kilometres before I have to take my car for the service?

  8. Subtract the distance driven from the remaining distance until service.

    2871 km−1264 km=1607 km2871 \text{ km} - 1264 \text{ km} = 1607 \text{ km}

    You have 1607 km\boxed{\text{1607 km}} before you have to take your car for service.

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