A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 6 × 103
meters by 3 × 104
meters. Find the area of the land in square meters. Put your answer in scientific notation.(1 point)
Responses
1.8 × 108
1.8 × 108
90 × 108
90 × 108
9.0 × 109
9.0 × 109
18 × 107
To find the area of a rectangle, you multiply its length by its width. In this case, the length of the land is 6 × 10^3 meters and the width is 3 × 10^4 meters.
To multiply two numbers in scientific notation, you can multiply their coefficients and add their exponents.
So, multiplying 6 × 10^3 by 3 × 10^4, we get:
(6 × 3) × (10^3 × 10^4) = 18 × 10^(3+4) = 18 × 10^7
Therefore, the area of the land is 18 × 10^7 square meters.
To find the area of the rectangular section, we need to multiply its length by its width.
The length is given as 6 × 10^3 meters, and the width is given as 3 × 10^4 meters.
Multiplying these two values together, we get:
(6 × 10^3) × (3 × 10^4) = 18 × 10^3 × 10^4
To simplify, we can add the exponents of 10:
18 × 10^3 × 10^4 = 18 × 10^(3+4)
Now, we can simplify further:
18 × 10^(3+4) = 18 × 10^7
Therefore, the area of the land is 18 × 10^7 square meters.
To find the area of the land, we need to multiply the length and width of the rectangle:
Area = (6 × 10^3) meters * (3 × 10^4) meters
= 18 × 10^7 square meters
Thus, the area of the land is 18 × 10^7 square meters.