Question

In 1819, the United States purchased Florida from Spain for

$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4

Answer 1

D. 5 x 10⁶ ÷ 6.6 x 10⁴

Explanation:

If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;

6.6 x 10^4 mi² = $5 X 10^6

1mi² = $x

Cross multiply;

$5 X 10^6 * 1 = 6.6 x 10^4 * x

6.6 x 10⁴ x = 5 X 10⁶

Divide both sides by 6.6 x 10⁴ to get x;

6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴

x = 5 x 10⁶ ÷ 6.6 x 10⁴

x = 0.76*10⁶⁻⁴

x = $0.76*10²

Hence the key strokes on a calculator will give the cost the United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴