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 answer

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

Grant amount: 1.925 × 10⁶ dollars
Cost per lunch: $2.75

Number of senior lunches = Grant amount / Cost per lunch
= (1.925 × 10⁶ dollars) / ($2.75)

To divide these numbers, we divide the numerical parts and subtract the exponents.
1.925 × 10⁶ dollars / $2.75 = (1.925 / 2.75) × 10⁶

Calculating the numerical division, we get:
1.925 / 2.75 ≈ 0.7

Therefore, the number of senior lunches that can be provided with the grant is approximately 0.7 × 10⁶.

In scientific notation, this can be written as:
7 × 10⁵ lunches (since 0.7 = 7 × 10⁻¹)