Questions: Use the conversion factor 1 ounce = 28.3 grams to convert 17 kilograms to ounces.
17 kilograms = ounces
Round your answer to 3 decimal places.
Transcript text: Use the conversion factor 1 ounce $=\mathbf{2 8 . 3}$ grams to convert 17 kilograms to ounces.
17 kilograms $=$ $\square$ ounces
Round your answer to 3 decimal places.
Solution
Solution Steps
To convert 17 kilograms to ounces using the given conversion factor, we need to follow these steps:
Convert kilograms to grams.
Convert grams to ounces using the given conversion factor.
Round the result to 3 decimal places.
Step 1: Convert Kilograms to Grams
To convert 17 kilograms to grams, we use the conversion factor \(1 \text{ kg} = 1000 \text{ g}\):
\[
17 \text{ kg} \times 1000 \frac{\text{g}}{\text{kg}} = 17000 \text{ g}
\]
Step 2: Convert Grams to Ounces
Next, we convert grams to ounces using the given conversion factor \(1 \text{ ounce} = 28.3 \text{ g}\):
\[
17000 \text{ g} \div 28.3 \frac{\text{g}}{\text{ounce}} \approx 600.7067 \text{ ounces}
\]
Step 3: Round the Result
Finally, we round the result to 3 decimal places:
\[
600.7067 \approx 600.707
\]