1 milligram=___

Options

A. `10^(-6)` kg
B. `10^(-3)` g
C. `10^(6)` kg
D. `10^(3)` g

Answer

To solve the question "1 milligram = ___", we need to convert milligrams into grams and kilograms.

### Step-by-Step Solution:

1. **Understanding the Conversion**:
- We know that 1 gram (g) is equal to 1000 milligrams (mg). This means that 1 milligram is a fraction of a gram.

2. **Converting Milligrams to Grams**:
- Since 1 gram = 1000 milligrams, we can express 1 milligram in terms of grams:
\[ 1 \text{ mg} = \frac{1}{1000} \text{ g} = 10^{-3} \text{ g} \]

3. **Converting Milligrams to Kilograms**:
- Next, we know that 1 kilogram (kg) is equal to 1000 grams. Therefore, we can express 1 milligram in terms of kilograms:
\[ 1 \text{ kg} = 1000 \text{ g} = 1000 \times 1000 \text{ mg} = 10^6 \text{ mg} \]
- Thus, to convert milligrams to kilograms, we take the reciprocal:
\[ 1 \text{ mg} = \frac{1}{10^6} \text{ kg} = 10^{-6} \text{ kg} \]

4. **Final Answer**:
- Therefore, we can conclude that:
\[ 1 \text{ mg} = 10^{-3} \text{ g} \quad \text{and} \quad 1 \text{ mg} = 10^{-6} \text{ kg} \]

### Summary:
- 1 milligram = \(10^{-3}\) grams
- 1 milligram = \(10^{-6}\) kilograms