EXPRESS in kg using decimal 5 kg 6 g = ?

Options

A. 5.0006 kg
B. 5.06 kg
C. 5.006 kg
D. 5.6 kg

Answer

To express 5 kg 6 g in kilograms using decimals, follow these steps:

### Step 1: Understand the Conversion
We know that 1 kilogram (kg) is equal to 1000 grams (g). Therefore, we need to convert grams into kilograms.

### Step 2: Convert Grams to Kilograms
We have 6 grams. To convert grams to kilograms, we use the conversion factor:
\[ 1 \text{ g} = \frac{1}{1000} \text{ kg} \]
So, for 6 grams:
\[ 6 \text{ g} = 6 \times \frac{1}{1000} \text{ kg} = \frac{6}{1000} \text{ kg} \]

### Step 3: Simplify the Fraction
Now, we simplify \(\frac{6}{1000}\):
\[ \frac{6}{1000} = 0.006 \text{ kg} \]

### Step 4: Add the Kilograms
Now we need to add this to the 5 kg we already have:
\[ 5 \text{ kg} + 0.006 \text{ kg} = 5.006 \text{ kg} \]

### Final Answer
Thus, 5 kg 6 g expressed in kilograms using decimals is:
\[ \text{5.006 kg} \]

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