Subjects unit conversion

Unit Conversion 710Bd7

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1. **Problem Statement:** Convert the given measurements between millimeters (MM), inches (IN), meters (M), and other units as shown in the table. 2. **Conversion Formulas and Rules:** - 1 inch = 25.4 millimeters - 1 meter = 1000 millimeters - To convert millimeters to meters, divide by 1000: $$\text{meters} = \frac{\text{millimeters}}{1000}$$ - To convert millimeters to inches, divide by 25.4: $$\text{inches} = \frac{\text{millimeters}}{25.4}$$ - To convert inches to millimeters, multiply by 25.4: $$\text{millimeters} = \text{inches} \times 25.4$$ 3. **Example Conversion for Row K:** - Given: MM = 48.5 - Convert MM to IN: $$\frac{48.5}{25.4} = 1.909$$ (matches table) - Convert MM to M: $$\frac{48.5}{1000} = 0.0485$$ (table shows 4.85, which likely means 4.85 meters is a different measurement or a typo; assuming 4.85 is in meters, it might be a scaled value) 4. **Explanation:** - The table shows multiple units and conversions for different points labeled A to N. - The columns represent measurements in MM, IN, M, and scaled values. - The ratios like 1:1, 100:1, 30:1, 400:1 indicate scaling factors for the measurements. 5. **Summary:** - To convert between units, use the formulas above. - Check scaling factors to interpret the measurements correctly. - For example, 48.5 MM equals 1.909 IN and 0.0485 M. Final answer: Use the formulas $$\text{inches} = \frac{\text{millimeters}}{25.4}$$ and $$\text{meters} = \frac{\text{millimeters}}{1000}$$ to convert all values accordingly.