Question

A rectangular park has an area of 1.36×10^8 ft^2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.(1 point)
Responses

8.5×10^3 ft.

8.5×10^2 ft.

8.5×10^4 ft.

8.5×10^5 ft.

Answer 1

Could you explain?

Answer 2

To find the width of the park, we need to divide the area of the park by its length.

Area = 1.36×10^8 ft^2
Length = 1.6×10^4 ft

Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)

To divide numbers in scientific notation, we subtract the exponents of the powers of 10 and divide the coefficients.

Width = (1.36 / 1.6) × 10^(8-4) ft
Width = (0.85) × 10^4 ft
Width = 8.5 × 10^3 ft

Therefore, the width of the park is 8.5×10^3 ft.