A rectangular park has an area of 1.36 × 10⁸ ft². The length of the park is 1.6 × 10⁴ ft. Divide the area by the length to find the width of the park.

Answer 1

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

Area = 1.36 × 10⁸ ft²
Length = 1.6 × 10⁴ ft

Width = Area ÷ Length
Width = (1.36 × 10⁸ ft²) ÷ (1.6 × 10⁴ ft)

To divide numbers with exponents, we subtract the exponents:
Width = 1.36 × 10⁸ ÷ 1.6 × 10⁴
Width = (1.36 ÷ 1.6) × (10⁸ ÷ 10⁴)
Width = 0.85 × 10⁴

To multiply or divide a number by a power of 10, we simply move the decimal point to the right or left, respectively, by the number of places indicated by the exponent:
Width = 8.5 × 10³

Therefore, the width of the park is 8.5 × 10³ ft.