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.
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)
To find out how many senior lunches the grant can provide, we need to divide the total grant amount by the cost per lunch.
The equation for this division is:
number of senior lunches = grant amount / cost per lunch
Grant amount = 1.925 × 10⁶ dollars
Cost per lunch = $2.75
Dividing the grant amount by the cost per lunch:
number of senior lunches = (1.925 × 10⁶ dollars) / ($2.75)
Next, we can simplify this division:
number of senior lunches = 1.925 × 10⁶ / 2.75
To divide these numbers, we can divide the whole numbers and subtract the exponents in the scientific notation:
number of senior lunches = 0.7 × 10⁶
Since 0.7 can be written as 7 × 10⁻¹, we can further simplify the answer:
number of senior lunches = 7 × 10⁻¹ × 10⁶
By adding the exponents, we obtain the final answer in scientific notation:
number of senior lunches = 7 × 10⁵
To find out how many senior lunches the grant can provide, we need to divide the grant amount by the cost per lunch.
1.925 × 10⁶ / $2.75 = (1.925 × 10⁶) / (2.75)
To divide the numbers written in scientific notation, we divide their coefficients and subtract their exponents:
(1.925 / 2.75) × 10⁶
Simplifying the division:
0.700 × 10⁶
Since 0.7 can be written as 7/10, we have:
(7/10) × 10⁶
Converting 7/10 to scientific notation:
(0.7 × 10) × 10⁶ = 0.7 × 10⁷
Therefore, the grant can provide 0.7 × 10⁷ senior lunches (in scientific notation).