Subjects algebra

Map Length Ratio D26876

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1. **State the problem:** We are given the length of a path on a map as 2 cm and the real length of the path as 700 m. We need to find the ratio of the length on the map to the real length in simplest form. 2. **Convert units to be consistent:** Since the map length is in centimeters and the real length is in meters, convert 700 m to centimeters. $$700\text{ m} = 700 \times 100 = 70000\text{ cm}$$ 3. **Write the ratio:** The ratio of the map length to the real length is $$\frac{2\text{ cm}}{70000\text{ cm}}$$ 4. **Simplify the ratio:** Divide numerator and denominator by 2: $$\frac{\cancel{2}}{\cancel{2}} \Big/ \frac{70000}{2} = \frac{1}{35000}$$ 5. **Final answer:** The ratio of the length on the map to the real length is $$\boxed{1:35000}$$ This means 1 cm on the map corresponds to 35000 cm (or 350 m) in reality.