Convert the following masses into kilograms:

1. 406 dg
2. 1900 cg
3. 65 mg
4. 945 Dg

Convert 406 dg to kg: 10 × 1000 406 ​ = 0.0406 kg.
Convert 1900 cg to kg: 100 × 1000 1900 ​ = 0.019 kg.
Convert 65 mg to kg: 1000 × 1000 65 ​ = 0.000065 kg.
Convert 945 Dg to kg: 1000 945 × 10 ​ = 9.45 kg. 0.0406 kg , 0.019 kg , 0.000065 kg , 9.45 kg ​

Explanation

Understanding the Conversions We need to convert the given masses from decigrams (dg), centigrams (cg), milligrams (mg), and decagrams (Dg) into kilograms (kg). To do this, we will use the following conversion factors:


1 kg = 1000 g
1 g = 10 dg
1 g = 100 cg
1 g = 1000 mg
1 Dg = 10 g


Converting 406 dg to kg First, let's convert 406 dg to kg. We know that 1 g = 10 dg, so 406 dg is equal to 10 406 ​ grams. Then, since 1 kg = 1000 g, we divide the result by 1000 to get the mass in kilograms: 10 406 ​ g = 40.6 g 1000 40.6 ​ kg = 0.0406 kg

Converting 1900 cg to kg Next, we convert 1900 cg to kg. We know that 1 g = 100 cg, so 1900 cg is equal to 100 1900 ​ grams. Then, since 1 kg = 1000 g, we divide the result by 1000 to get the mass in kilograms: 100 1900 ​ g = 19 g 1000 19 ​ kg = 0.019 kg

Converting 65 mg to kg Now, let's convert 65 mg to kg. We know that 1 g = 1000 mg, so 65 mg is equal to 1000 65 ​ grams. Then, since 1 kg = 1000 g, we divide the result by 1000 to get the mass in kilograms: 1000 65 ​ g = 0.065 g 1000 0.065 ​ kg = 0.000065 kg

Converting 945 Dg to kg Finally, we convert 945 Dg to kg. We know that 1 Dg = 10 g, so 945 Dg is equal to 945 × 10 grams. Then, since 1 kg = 1000 g, we divide the result by 1000 to get the mass in kilograms: 945 × 10 g = 9450 g 1000 9450 ​ kg = 9.45 kg

Final Results Therefore, the conversions are:



406 dg = 0.0406 kg
1900 cg = 0.019 kg
65 mg = 0.000065 kg
945 Dg = 9.45 kg

Examples
Understanding unit conversions is essential in many real-world applications. For example, when cooking, you might need to convert grams to kilograms to scale a recipe. In manufacturing, engineers often convert between different units of mass to ensure precise measurements in production processes. Similarly, in scientific research, accurate unit conversions are crucial for data analysis and experimentation. Knowing how to convert between different units allows for accurate measurements and consistent results across various fields.

Answered by GinnyAnswer | 2025-07-03

The conversions are: 406 dg to 0.0406 kg, 1900 cg to 0.019 kg, 65 mg to 0.000065 kg, and 945 Dg to 9.45 kg.
;

Answered by Anonymous | 2025-07-04