Convert the following SS to RF:

a. 1:125,000cm
b.1:50,6880miles

1 answer

To convert the given scale from a representative fraction (RF) format to a scale in standard form (SS), we need to clarify what both formats represent:

  1. SS (Scale in Standard form) indicates the actual distance on the ground that corresponds to a given distance on a map.
  2. RF (Representative Fraction) is a ratio that indicates how many units on the ground correlate to one unit on the map.

Conversion from RF to SS

  1. For 1:125,000 cm:

    • This means that 1 cm on the map corresponds to 125,000 cm on the ground.
    • To convert this to standard form:
      • 125,000 cm = 1,250 m (since 100 cm = 1 m).

    Thus, the scale in SS would be:

    • 1 cm = 1,250 m
  2. For 1:50,6880 miles (which seems like a typo; I'll assume it's supposed to be 50,6880 miles):

    • This means that 1 unit on the map corresponds to 50,6880 miles on the ground.
    • To convert miles to meters (1 mile ≈ 1,609.34 meters):
      • 50,6880 miles \(\approx 50,6880 \times 1,609.34 , m \)
      • = 81,000,000 m approximately (calculation can vary based on the interpretation of the original number).

    Thus, the scale in SS would be:

    • 1 inch = 80,000,000 m

Final Answer in SS:

  1. 1 cm = 1,250 m
  2. 1 inch = 80,000,000 m (assuming original format clarification).

Note:

If my interpretation of the second value is incorrect, please clarify the scale.