Convert 13,455 g to its equivalent in kg.
The correct answer and explanation is :
To convert 13,455 grams (g) to kilograms (kg), we use the conversion factor:
1 kilogram (kg) = 1,000 grams (g)
Now, divide the given value by 1,000:
[
13,455 \div 1,000 = 13.455 \, \text{kg}
]
Explanation (300 words)
Understanding unit conversion is essential in various scientific, mathematical, and everyday applications. The metric system, which includes grams and kilograms, is widely used worldwide due to its simplicity and ease of conversion.
The metric system is based on powers of ten, making it straightforward to switch between units. In this case, we are converting grams to kilograms. Since 1 kilogram is defined as 1,000 grams, we divide the number of grams by 1,000 to get the equivalent weight in kilograms.
[
\text{Weight in kg} = \frac{\text{Weight in g}}{1000}
]
Applying this to our given value:
[
\text{Weight in kg} = \frac{13,455}{1000} = 13.455 \, \text{kg}
]
This means that 13,455 grams is equal to 13.455 kilograms.
This concept is useful in real-life scenarios. For example, if you are purchasing a large amount of rice or flour, the weight might be listed in grams, but most people prefer to understand it in kilograms for easier comprehension. Similarly, in scientific calculations, conversions like this are common in chemistry, physics, and engineering.
By mastering unit conversions, you can avoid errors in measurement and ensure accurate calculations in both academic and practical settings.
