Question

A city lunch program for seniors received a grant of 1.925 * 10 ^ 6 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..

Answer 1

0.7 x 10⁵ or 7 x 10⁵

Answer 2

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

The total grant amount is:
\[ 1.925 \times 10^6 \text{ dollars} \]

The cost per lunch is:
\[ 2.75 \text{ dollars} \]

Now, we perform the division:

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

First, let's divide the coefficients:

\[
\frac{1.925}{2.75} \approx 0.700 \quad (\text{using a calculator})
\]

Next, we keep the power of ten the same:

\[
10^6
\]

Now we can combine the results:

\[
0.700 \times 10^6
\]

However, we need to express this in proper scientific notation. Scientific notation requires a coefficient between 1 and 10. So we adjust \(0.700\) to \(7.00\) (which is valid in scientific notation), and we need to decrease the exponent by 1 to account for the shift:

\[
7.00 \times 10^5
\]

Thus, the total number of senior lunches that the grant can provide is:

\[
\boxed{7.00 \times 10^5}
\]

Answer 3

Both \(0.7 \times 10^5\) and \(7.0 \times 10^4\) are valid, but they represent the same quantity. If you're looking for scientific notation that adheres to the standard format (where the coefficient is between 1 and 10), then it should be expressed as:

\[
7.0 \times 10^5
\]

This is because \(0.7\) is not within the typical range for scientific notation, while \(7.0\) is.

So, the best answer in proper scientific notation is:

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