To find the approximate total weight of all the babies born in the U.S. in a year, you can multiply the average weight of a newborn by the number of babies born.
The average weight of a newborn is 7.5 pounds, and the number of babies born each year is approximately \( 4.1 \times 10^6 \).
Here's the calculation:
\[ \text{Total Weight} = \text{Average Weight} \times \text{Number of Babies} \]
\[ \text{Total Weight} = 7.5 , \text{pounds} \times 4.1 \times 10^6 , \text{babies} \]
Calculating this:
\[ \text{Total Weight} = 7.5 \times 4.1 \times 10^6 \]
Calculating \( 7.5 \times 4.1 \):
\[ 7.5 \times 4.1 = 30.75 \]
Now, putting this result in scientific notation:
\[ 30.75 = 3.075 \times 10^1 \]
So,
\[ \text{Total Weight} = 3.075 \times 10^1 \times 10^6 = 3.075 \times 10^{7} \]
Therefore, the approximate total weight of all the babies born in the U.S. in a year is:
\[ \approx 3.075 \times 10^{7} , \text{pounds} \]