To find out how many senior lunches the grant can provide, we divide the total grant amount by the cost per lunch.
The total grant is \( 1.925 \times 10^6 \) dollars, and the cost per lunch is \( 2.75 \) dollars.
So, we calculate:
\[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]
Calculating the division:
First, we divide \( 1.925 \) by \( 2.75 \):
\[ 1.925 \div 2.75 \approx 0.7 \]
Next, since we are dividing by \( 2.75 \) which is \( 2.75 \approx 2.75 \times 10^0 \), we can keep the power of ten the same:
\[ \frac{1.925 \times 10^6}{2.75} \approx 0.7 \times 10^6 \]
However, to express \( 0.7 \times 10^6 \) in standard scientific notation, we need to convert \( 0.7 \) into \( 7 \), which is done by decreasing the exponent of ten by 1:
\[ 0.7 \times 10^6 = 7.0 \times 10^5 \]
Thus, the final answer in scientific notation is:
\[ \boxed{7 \times 10^5} \]
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