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.
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.
To find the width of the park, we need to divide the area of the park by its length. Given that the park's area is 1.36 × 10⁸ ft² and its length is 1.6 × 10⁴ ft, we can perform the calculation:
Width = Area / Length
Width = (1.36 × 10⁸ ft²) / (1.6 × 10⁴ ft)
When dividing numbers written in scientific notation, we need to divide the coefficients (the numbers before the "× 10") and subtract the exponents (the powers of 10).
Coefficient: 1.36 ÷ 1.6 = 0.85
Exponent: 8 - 4 = 4
Therefore, the width of the park is 0.85 × 10⁴ ft, which can be simplified to 8.5 × 10³ ft.
To find the width of the park, we need to divide the area of the park by its length.
Step 1: Write down the given values:
Area of the park = 1.36 × 10⁸ ft²
Length of the park = 1.6 × 10⁴ ft
Step 2: Divide the area by the length:
Width = Area / Length
Width = (1.36 × 10⁸ ft²) / (1.6 × 10⁴ ft)
Step 3: Simplify the expression:
To divide the numbers in scientific notation, divide the coefficients and subtract the exponents.
Width = (1.36 / 1.6) × (10⁸ / 10⁴) ft
Width = 0.85 × 10⁴ ft
Step 4: Convert the result back to scientific notation if needed:
The width is already in scientific notation: 0.85 × 10⁴ ft.
Therefore, the width of the park is 0.85 × 10⁴ ft.