Final answer:
The scale ratio for a map where 1 cm represents 500 mm in actual distance is 1:50, after converting 500 mm to centimeters.
Step-by-step explanation:
To find the scale ratio for a map where 1 cm on the map represents 500 mm in actual distance, we need to express both measurements in the same units. Since 1 cm equals 10 mm, we can convert 500 mm to centimeters by dividing by 10, which gives us 500 mm = 50 cm. Therefore, the scale ratio can be written as 1 cm (map) : 50 cm (actual). This can also be simplified to a ratio of 1:50 to represent the scale concisely.
To find the scale ratio for the map, we'll need to compare the distance on the map with the corresponding actual distance it represents. The given scale tells us that 1 cm on the map is equivalent to 500 mm in actual distance.
However, since the scale ratio is typically expressed in the same units, we'll need to convert the actual distance from millimeters to centimeters. Step 1: Convert actual distance to centimeters. We know that 1 cm is equal to 10 mm. Therefore, to convert 500 mm to centimeters, we divide by 10. 500 mm = 500 / 10 cm = 50 cm Step 2: Establish the scale ratio.
Now that we have both the map distance and the actual distance in centimeters, we can express the scale ratio as the map distance to the actual distance. Scale ratio = map distance / actual distance = 1 cm / 50 cm Step 3: Simplify the scale ratio.
When the scale ratio is expressed as a fraction, it should be simplified to its smallest form: Scale ratio = 1 / 50 This represents the scale of the map. For every 1 cm on the map, it represents 50 cm in the real world. Step 4: Converting the scale ratio to the standard map scale notation.
Map scale is often expressed as 1:n, where 'n' is the number representing the actual distance in map units. Therefore, our simplified scale ratio 1 / 50 can be written as: Scale ratio = 1:50 Thus, the scale ratio for the map is 1:50, meaning 1 centimeter on the map represents 50 centimeters in reality