Final answer:
To convert 8 pounds and 2 ounces to the SI system, we multiply the pounds by 0.4536 to get kilograms and the ounces by 28.35 to get grams, then convert grams to kilograms and add both for a total of approximately 3.6855 kilograms.
Step-by-step explanation:
To convert the baby's weight from pounds and ounces to the SI system, which uses kilograms, we need to first understand the weight equivalents: 1 lb is equal to 0.4536 kg, and 1 oz is equal to 28.35 g.
The baby weighs 8 pounds and 2 ounces. Let's convert the weight pound by pound and then ounce by ounce. For the pounds:
- 8 lb x 0.4536 kg/lb = 3.6288 kg
Now, we convert the ounces:
- 2 oz x 28.35 g/oz = 56.7 g
Since we want the weight in kilograms, we need to convert the ounce part from grams to kilograms by dividing by 1000 (because there are 1000 grams in a kilogram):
- 56.7 g / 1000 = 0.0567 kg
Now, we add the two parts together to get the baby's total weight in kilograms:
- 3.6288 kg + 0.0567 kg = 3.6855 kg
Therefore, the baby's weight in the SI system is approximately 3.6855 kilograms.