To find the total weight of all the babies born in the U.S. in a year, we multiply the average weight of a newborn by the total number of babies born.
The average weight of a newborn is 7.5 pounds, and the number of babies born is approximately 4.1 x 10^6.
Now, we perform the calculation:
\[ \text{Total weight} = \text{average weight} \times \text{number of babies} \] \[ \text{Total weight} = 7.5 \text{ pounds} \times 4.1 \times 10^6 \text{ babies} \]
First, calculate \(7.5 \times 4.1\):
\[ 7.5 \times 4.1 = 30.75 \]
Now, we can express the total weight as:
\[ \text{Total weight} = 30.75 \times 10^6 \]
To express this in scientific notation, we write it as:
\[ 3.075 \times 10^7 \]
Thus, the approximate total weight in pounds of all the babies born in the U.S. in a year is:
\[ \boxed{3.075 \times 10^7} \]
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