A rectangular section of wilderness will be set aside as a new wildlife refuge. It's dimensions are 6 × 10³ meters by 3 × 10⁴ meters. Find the area of the land in square meters. Put you answer in scientific notation.
To find the area of the land, we multiply the length by the width.
The length is 6 × 10³ meters.
The width is 3 × 10⁴ meters.
Therefore, the area is (6 × 10³) × (3 × 10⁴) = 18 × 10⁷ square meters.
We can write this in scientific notation as 1.8 × 10⁸ square meters.
To find the area of the rectangular section of wilderness, we need to multiply its length by its width.
Given that the length is 6 × 10³ meters and the width is 3 × 10⁴ meters, we can multiply these values together to get:
(6 × 10³ meters) × (3 × 10⁴ meters)
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents:
(6 × 3) × (10³ × 10⁴) meters²
18 × 10⁷ meters²
Since the result is 18 × 10⁷ meters², we can write it in scientific notation as:
1.8 × 10⁸ meters²
Therefore, the area of the land in square meters is 1.8 × 10⁸.
To find the area of the land, we need to multiply the length by the width.
Dimensions:
Length = 6 × 10³ meters
Width = 3 × 10⁴ meters
Area = Length × Width
Area = (6 × 10³ meters) × (3 × 10⁴ meters)
Multiplying the numbers:
Area = 6 × 3 × (10³ meters) × (10⁴ meters)
Simplifying the powers of 10:
Area = 6 × 3 × 10^(3+4) meters
Adding the exponents:
Area = 18 × 10^7 meters
Writing the answer in scientific notation:
Area = 1.8 × 10^8 square meters
Therefore, the area of the land in square meters is 1.8 × 10^8.