Miriam y Guillermo midieron cinta para hacer moños para cada uno necesitan 950mm Miriam dijo a con 0.95m y Guillermo 95 cm ¿quién tiene razón?
Understand the Problem
La pregunta plantea un problema de conversión de unidades de longitud. Miriam y Guillermo midieron cinta para hacer moños, necesitando 950mm por persona. La tarea es determinar quién tiene razón al convertir esta medida a metros (Miriam) y centímetros (Guillermo). Se debe verificar si 0.95m es equivalente a 950mm y si 95 cm también lo es.
Answer
Both are correct. $950 \text{ mm} = 0.95 \text{ m}$ and $950 \text{ mm} = 95 \text{ cm}$.
Answer for screen readers
Both Miriam and Guillermo are correct. $950 \text{ mm} = 0.95 \text{ m}$ and $950 \text{ mm} = 95 \text{ cm}$.
Steps to Solve
- Convert millimeters to meters
To convert millimeters (mm) to meters (m), you need to know that 1 meter is equal to 1000 millimeters. Therefore, you divide the number of millimeters by 1000 to get the equivalent in meters.
$$ \text{meters} = \frac{\text{millimeters}}{1000} $$
- Calculate meters from millimeters
Substitute 950 mm into the formula:
$$ \text{meters} = \frac{950}{1000} = 0.95 \text{ m} $$
- Convert millimeters to centimeters
To convert millimeters (mm) to centimeters (cm), you need to know that 1 centimeter is equal to 10 millimeters. Therefore, you divide the number of millimeters by 10 to get the equivalent in centimeters.
$$ \text{centimeters} = \frac{\text{millimeters}}{10} $$
- Calculate centimeters from millimeters
Substitute 950 mm into the formula:
$$ \text{centimeters} = \frac{950}{10} = 95 \text{ cm} $$
- Determine who is correct
Miriam stated that 950 mm is equal to 0.95 meters, and Guillermo stated that it is equal to 95 centimeters. Both conversions are correct based on our calculations.
Both Miriam and Guillermo are correct. $950 \text{ mm} = 0.95 \text{ m}$ and $950 \text{ mm} = 95 \text{ cm}$.
More Information
This problem illustrates how different units can represent the same measurement. Understanding unit conversions is crucial in many fields, including science, engineering, and everyday life.
Tips
A common mistake is multiplying instead of dividing when converting between units, or using the incorrect conversion factor. For example, multiplying 950 mm by 1000 to convert to meters would be incorrect. Always double-check the relationship between the units to ensure you're using the right operation (multiplication or division) and the correct conversion factor (e.g., 1000 mm per 1 m, or 10 mm per 1 cm).
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