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My father's desk is 3 300 mm long and mine measures 6 200 mm How much longer is my desk than my father's desk? Write down your answer in m and cm, and then in m.

Mathematics

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Answers

5 parts
b

5.5 m5.5 \text{ m}

c

2 m 90 cm2 \text{ m } 90 \text{ cm}

2.9 m2.9 \text{ m}

d

70.5 m70.5 \text{ m}

e

941 km941 \text{ km}

f

1607 km1607 \text{ km}

Step-by-step solution

9 steps

Part b· 2 steps

  1. Convert the mixed fraction to an improper fraction or decimal.

    312 m=3.5 m3\frac{1}{2} \text{ m} = 3.5 \text{ m}
  2. Subtract the used ribbon from the total ribbon.

    9 m−3.5 m=5.5 m9 \text{ m} - 3.5 \text{ m} = 5.5 \text{ m}

    The amount of ribbon left is 5.5 m\boxed{5.5 \text{ m}}.

Part c

2 m 90 cm2 \text{ m } 90 \text{ cm}

  1. Find the difference in length between the two desks in mm.

    6200 mm−3300 mm=2900 mm6200 \text{ mm} - 3300 \text{ mm} = 2900 \text{ mm}
  2. Convert the difference from mm to m and cm.

    Since 1 m=1000 mm1 \text{ m} = 1000 \text{ mm} and 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}:

    2900 mm=2 m 90 cm2900 \text{ mm} = 2 \text{ m } 90 \text{ cm}
  3. Convert the difference from mm to m.

    2900 mm=29001000 m=2.9 m2900 \text{ mm} = \frac{2900}{1000} \text{ m} = 2.9 \text{ m}

    My desk is 2 m 90 cm\boxed{2 \text{ m } 90 \text{ cm}} or 2.9 m\boxed{2.9 \text{ m}} longer than my father's desk.

Part d

70.5 m70.5 \text{ m}

  1. Convert the mixed fraction to an improper fraction or decimal.

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

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

    The amount of wool left is 70.5 m\boxed{70.5 \text{ m}}.

Part e

941 km941 \text{ km}

  1. 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{941 \text{ km}}.

Part f

1607 km1607 \text{ km}

  1. Subtract the distance already driven from the total distance until service.

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

    There are 1607 km\boxed{1607 \text{ km}} left before the car needs to go for service.

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