Convert the following masses into kilograms.
a) [tex]50475 rg[/tex]
b) [tex]406 dg[/tex]

Convert 50475 rg to kg: 50475 r g = 50475 × 1 0 − 8 k g = 0.00050475 k g .
Convert 406 dg to kg: 406 d g = 406 × 1 0 − 4 k g = 0.0406 k g .
The mass 50475 rg is equal to 0.00050475 kg.
The mass 406 dg is equal to 0.0406 kg. 0.00050475 k g , 0.0406 k g ​

Explanation

Problem Analysis We are asked to convert two masses into kilograms (kg). The first mass is given in röntgen (rg) and the second in decigrams (dg). We need to use the appropriate conversion factors to express these masses in kilograms.

Converting rg to kg First, let's convert 50475 rg to kg. The conversion factor is 1 rg = 1 0 − 8 kg. Therefore, 50475 r g = 50475 × 1 0 − 8 k g = 0.00050475 k g

Converting dg to kg Next, let's convert 406 dg to kg. The conversion factor is 1 dg = 1 0 − 4 kg. Therefore, 406 d g = 406 × 1 0 − 4 k g = 0.0406 k g

Final Answer Therefore, the masses in kilograms are 0.00050475 kg and 0.0406 kg.


Examples
Imagine you're baking and need to convert small amounts of ingredients from less common units to kilograms for a precise recipe. Converting röntgen or decigrams to kilograms is similar to converting ounces or grams to pounds or kilograms in cooking. Understanding unit conversions is crucial in many fields, including cooking, chemistry, and physics, where accurate measurements are essential for consistent and reliable results. This ensures that your cake rises perfectly or your chemical reaction proceeds as expected.

Answered by GinnyAnswer | 2025-07-03

The mass 50475 rg converts to 0.00050475 kg, and the mass 406 dg converts to 0.0406 kg. Using the conversion factors for each unit, we perform the calculations step-by-step. The final results are 0.00050475 kg and 0.0406 kg.
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Answered by Anonymous | 2025-07-04