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Explain the following statement: Scale to a primary six student.

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Answer

Student D\text{Student D}

Step-by-step solution

4 steps
  1. Identify the map scale and the measured distance.

    The scale is 1:500001 : 50000, meaning 1 cm on map=50000 cm actual.1~\mathrm{cm}~\mathrm{on~map} = 50000~\mathrm{cm}~\mathrm{actual}.

    Measured distance on map between towns: 4 cm4~\mathrm{cm}.

  2. Calculate actual distance in cm.

    Formula: Actual distance (cm)=Map distance (cm)×50000\mathrm{Actual~distance~(cm)} = \mathrm{Map~distance~(cm)} \times 50000

    Substitute: 4×50000=200000 cm.4 \times 50000 = 200000~\mathrm{cm}.

  3. Convert cm to km (keep units).

    200000 cm=200000÷100000=2 km.200000~\mathrm{cm} = 200000 \div 100000 = 2~\mathrm{km}.
  4. Check student statements (assume standard options)

    • Student A: 200 m200~\mathrm{m} (incorrect)
    • Student B: 20 km20~\mathrm{km} (incorrect)
    • Student C: 2000 m2000~\mathrm{m} (incorrect)
    • Student D: 2 km2~\mathrm{km} (correct)
    • Student E: 20000 cm20000~\mathrm{cm} (incorrect)
    • Student F: 0.2 km0.2~\mathrm{km} (incorrect)

    Student D is correct.

    Student D\text{Student D}
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