Convert 3.5 kilograms to grams.
Work: $3.5 \text{ kg} \times 1,000 =$
Answer = ____ g
The problem requires converting a mass given in kilograms (kg) to grams (g). We are given 3.5 kg and we need to determine the equivalent mass in grams. We know that 1 kilogram is equivalent to 1,000 grams, which serves as our conversion factor.
To convert from kilograms to grams, we multiply the mass in kilograms by the number of grams per kilogram. The conversion factor is 1,000 g/kg. Thus, the calculation is:
\[3.5 \text{ kg} \times 1,000 \frac{\text{g}}{\text{kg}} = 3,500 \text{ g}.\]
The multiplication of 3.5 by 1,000 gives 3,500. Therefore, 3.5 kilograms is equal to 3,500 grams. The final answer is \(\boxed{3,500}\) g.
In cooking, many recipes require precise measurements. If a recipe calls for 3.5 kilograms of flour for a large batch of bread, but your kitchen scale is calibrated to measure in grams, you need to convert the unit. By knowing that \(1 \text{ kg} = 1,000 \text{ g}\), you can easily calculate that you need \(3.5 \times 1,000 = 3,500 \text{ g}\) of flour to ensure your recipe is successful.