Question 2

A map scale tells us how much the real world has been shrunk to fit on the map.

Step 1 — Understanding Representative Fraction (RF)

The ratio given on the map is called the Representative Fraction (RF). It shows the relationship between a distance on the map and the actual distance on the ground. The first number, 1, represents a unit of distance on the map. The second number, 60,00,000, represents the same unit of distance on the ground. So, 1 unit on the map equals 60,00,000 units in reality.

$\boxed{\text{RF = Map Distance : Ground Distance}}$

Step 2 — Interpreting RF 1:60,00,000

Let us assume the unit is centimeters (cm). So, 1 cm on the map represents 60,00,000 cm on the ground. We know that 1 meter equals 100 centimeters. We also know that 1 kilometer equals 1000 meters. Therefore, 1 kilometer equals 100,000 centimeters. Now, let us convert 60,00,000 cm into kilometers.

$60,00,000 \text{ cm} = \frac{60,00,000}{100,000} \text{ km}$

$= 60 \text{ km}$

This means that 1 cm measured on the map represents an actual distance of 60 km on the ground. This ratio helps us calculate real distances from map measurements.

$\boxed{1 \text{ cm on map} = 60 \text{ km on ground}}$

Answer

(i) RF 1 : 60,00,000 means that 1 unit of distance on the map represents 60,00,000 units of the same distance on the actual ground. (ii) It indicates the scale of the map. (iii) For example, if we measure 1 centimeter on this map, it corresponds to an actual distance of 60 kilometers on the ground.