Question

A city lunch program for seniors received a grant of 1.925 × 106 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation. (1 point)
07× 105
• 0.7 × 106
• 0.7 × 105
07×106

Answer 1

To find out how many senior lunches the grant can provide, divide the total grant amount by the cost per lunch.

First, we have:

\[
1.925 \times 10^6 \text{ dollars}
\]

Now, dividing by the cost of one lunch, which is $2.75:

\[
\frac{1.925 \times 10^6}{2.75}
\]

To perform the division:

1. Calculate \( 1.925 \div 2.75 \):
\[
1.925 \div 2.75 \approx 0.7 \quad (\text{rounded})
\]

2. Since we are working in scientific notation, we will maintain the factor of \( 10^6 \):
\[
\frac{1.925 \times 10^6}{2.75} \approx 0.7 \times 10^6
\]

Now let's present it in proper scientific notation. In scientific notation, we typically express numbers as a number between 1 and 10 multiplied by a power of 10. Therefore, \( 0.7 \times 10^6 \) can be rewritten as \( 7.0 \times 10^5 \).

Thus, the final answer is:

\[
\boxed{7.0 \times 10^5}
\]