- Understand the conversion factor where \(1 \text{ kg} = 1,000 \text{ g}\).
- Use the division formula \(K = \frac{G}{1,000}\) to convert each mass.
- Calculate the values: \(1.956 \text{ kg}\), \(0.456 \text{ kg}\), \(0.03 \text{ kg}\), and \(0.007 \text{ kg}\).
- Final results are \(\boxed{1.956, 0.456, 0.03, 0.007}\).
Explanation
- Understanding the Conversion Factor
To convert mass from grams to kilograms, we use the fact that 1,000 grams are equivalent to 1 kilogram. This relationship is defined by the conversion factor:
\[1 \text{ kg} = 1,000 \text{ g}\]
To find the mass in kilograms (\(K\)) given a mass in grams (\(G\)), we divide the number of grams by 1,000:
\[K = \frac{G}{1,000}\]
- Performing Calculations
We apply the formula \(K = \frac{G}{1,000}\) to each of the given values:
- For 1,956 g:
\[K = \frac{1,956}{1,000} = 1.956 \text{ kg}\]
- For 456 g:
\[K = \frac{456}{1,000} = 0.456 \text{ kg}\]
- For 30 g:
\[K = \frac{30}{1,000} = 0.03 \text{ kg}\]
- For 7 g:
\[K = \frac{7}{1,000} = 0.007 \text{ kg}\]
- Finalizing the Table
Based on the calculations, we can complete the table:
| Grams | Kilograms \) \(1{,}000\) | \(1\) \) \(1{,}956\) | \(1.956\) \) \(456\) | \(0.456\) \) \(30\) | \(0.03\) \) \(7\) | \(0.007\) \) |
The values are \(\boxed{1.956, 0.456, 0.03, 0.007}\).
Examples
Unit conversion is essential in daily life, such as when reading nutritional labels or weighing ingredients. For instance, if a recipe calls for 500 grams of flour, you can easily determine it is 0.5 kilograms (\(\frac{500}{1000} = 0.5\)) to help with measuring larger amounts or coordinating with a scale calibrated in kilograms. Similarly, when shipping packages, knowing the conversion allows you to correctly determine the postage based on weight requirements.