A walk by the river measures 10.cm on a map which has the scale of 1 : 25000. Calculate the distance covered on the ground in KM and to two significant figures 

To find the actual distance on the ground, we will use the map scale, which is 1 : 25,000. This means that 1 cm on the map represents 25,000 cm in reality.

1. **Convert the map measurement to the real distance:**

   \[
   \text{Actual distance} = 10 \text{cm} \times 25,000 = 250,000 \text{cm}
   \]

2. **Convert centimeters to kilometers:**

   Since there are 100,000 cm in a kilometer:

   \[
   \text{Distance in kilometers} = \frac{250,000 \text{cm}}{100,000} = 2.5 \text{km}
   \]

The distance covered on the ground is **2.5 km**, which is already to two significant figures.

Would you like further details or have any questions?

Here are five related questions:
1. How would the calculation change if the map scale was 1 : 50,000?
2. What is the distance in meters instead of kilometers?
3. How do you convert different map scales to real distances?
4. If the scale was 1 : 10,000, how far would 10 cm on the map be on the ground?
5. What if the measurement was in inches; how would the conversion proceed?

**Tip:** Always ensure that units are consistent throughout your calculations to avoid errors.

A walk by the river measures 10 cm on a map which has the scale of 1 : 25000. Calculate the distance covered on the ground in KM and to two significant figures.

Learn how to calculate the real distance covered when 10 cm on a map with a scale of 1:25,000 is given. This problem involves scale conversion and unit conversion to kilometers, suitable for students in Grades 6-8.

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