To find the total weight of all the babies born in the U.S. in a year, you can multiply the average weight of a newborn baby by the number of babies born:
- Average weight of a baby = 7.5 pounds
- Number of babies born = \( 4.1 \times 10^6 \)
Now multiply these two values:
\[ \text{Total weight} = \text{Average weight} \times \text{Number of babies} \] \[ \text{Total weight} = 7.5 \text{ pounds} \times 4.1 \times 10^6 \]
Calculating the multiplication:
\[ 7.5 \times 4.1 = 30.75 \]
Now incorporate the \( 10^6 \):
\[ \text{Total weight} = 30.75 \times 10^6 \text{ pounds} \]
To express \( 30.75 \) in scientific notation, we can write it as:
\[ 3.075 \times 10^1 \text{ pounds} \]
Now multiplying this by \( 10^6 \) gives:
\[ 3.075 \times 10^1 \times 10^6 = 3.075 \times 10^{7} \]
Therefore, the approximate total weight in pounds of all the babies born in the U.S. in a year is:
\[ \boxed{3.075 \times 10^7} \text{ pounds} \]
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