To find out how many senior lunches the grant can provide, you need to divide the total grant amount by the cost per lunch.
The grant amount is \( 1.925 \times 10^6 \) dollars and the cost per lunch is \( 2.75 \) dollars.
\[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]
Let's perform the division:
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First, divide \( 1.925 \) by \( 2.75 \): \[ 1.925 \div 2.75 \approx 0.700 \]
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Next, since we are dividing by a number that is not in scientific notation, we can express the result as: \[ 0.700 = 7.00 \times 10^{-1} \]
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Now combine this with the \( 10^6 \) from the grant: \[ 7.00 \times 10^{-1} \times 10^6 = 7.00 \times 10^{5} \]
Thus, the total number of senior lunches the grant can provide, expressed in scientific notation, is:
\[ \boxed{7.00 \times 10^5} \]