To find out how many seniors' lunches the grant can provide, you can divide the total grant amount by the cost per lunch.
Given:
- Grant amount = \( 1.925 \times 10^6 \) dollars
- Cost per lunch = \( 2.75 \) dollars
Now, let's perform the division:
\[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]
First, divide \( 1.925 \) by \( 2.75 \):
\[ 1.925 \div 2.75 \approx 0.700 \]
Now, multiply this result by \( 10^6 \):
\[ \text{Number of lunches} \approx 0.700 \times 10^6 \]
To convert \( 0.700 \) into scientific notation:
\[ 0.700 = 7.00 \times 10^{-1} \]
So:
\[ 0.700 \times 10^6 = 7.00 \times 10^{-1} \times 10^6 = 7.00 \times 10^{5} \]
Thus, the final answer in scientific notation is:
\[ \text{Number of lunches} \approx 7.00 \times 10^5 \]
Therefore, the grant can provide approximately \( 7.00 \times 10^5 \) senior lunches.