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.
Responses
To find the area of the land, we can multiply the length and width of the rectangle.
Length = 6 × 10^3 meters
Width = 3 × 10^4 meters
Area = length × width
= (6 × 10^3 meters) × (3 × 10^4 meters)
To multiply these numbers in scientific notation, we can multiply the coefficients and add the exponents.
Area = 6 × 3 × 10^3 × 10^4 meters^2
= 18 × 10^7 meters^2
Putting the answer in scientific notation, we have:
Area = 1.8 × 10^8 meters^2
To find the area of the land, we can use the formula for the area of a rectangle: A = l × w, where A is the area, l is the length, and w is the width.
Given the dimensions of the land as 6 × 10^3 meters by 3 × 10^4 meters, we can substitute these values into the formula:
A = (6 × 10^3) × (3 × 10^4)
To multiply these values, we can multiply the numbers separately and then add the exponents:
A = 18 × 10^(3 + 4)
Adding the exponents, we get:
A = 18 × 10^7
Therefore, the area of the land is 1.8 × 10^8 square meters.
To find the area of this rectangular section of wilderness, we need to multiply its length by its width. In this case, the length is given as 6 × 10^3 meters and the width is given as 3 × 10^4 meters.
To multiply these numbers, we can use the rules of multiplication in scientific notation. When multiplying numbers in scientific notation, we multiply the coefficients (the numbers before the power of 10) and add the exponents.
In this case, the coefficient of the length is 6 and the exponent is 3, and the coefficient of the width is 3 and the exponent is 4.
So, to find the area, we multiply 6 × 3 and get 18 as the coefficient. Then, we add the exponents: 3 + 4 = 7.
Therefore, the area of the land is 18 × 10^7 square meters, in scientific notation.