How many kg are there in 5.2 mg?

Options

A. `5.2xx10^(-3)kg`
B. `5.2xx10^(-6)kg`
C. `5.2xx10^(-5)kg`
D. `5.2xx10^(-9)kg`

Answer

To convert 5.2 mg (milligrams) to kg (kilograms), follow these steps:

### Step 1: Understand the conversion factors
1 mg (milligram) is equal to \(10^{-3}\) g (grams).
1 kg (kilogram) is equal to 1000 g.

### Step 2: Convert mg to g
First, convert 5.2 mg to grams:
\[ 5.2 \text{ mg} = 5.2 \times 10^{-3} \text{ g} \]

### Step 3: Convert g to kg
Next, convert grams to kilograms. Since 1 g is equal to \( \frac{1}{1000} \) kg, we can convert grams to kilograms by dividing by 1000:
\[ 5.2 \times 10^{-3} \text{ g} = \frac{5.2 \times 10^{-3}}{1000} \text{ kg} \]

### Step 4: Perform the calculation
Now, calculate the value:
\[ \frac{5.2 \times 10^{-3}}{1000} = 5.2 \times 10^{-6} \text{ kg} \]

### Final Answer
Thus, 5.2 mg is equal to \(5.2 \times 10^{-6}\) kg.

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