Part A: Area = Length x Width = (7.18 x 10^-3) km x (3.4 x 10^-9) km = 2.44 x 10^-11 km²
Part B: Area = 2.44e-11 km² (round to 2 significant digits)
Part C: Perimeter = 2 (Length + Width) = 2((7.18 x 10^-3) km + (3.4 x 10^-9) km) ≈ 2 x 7.18 x 10^-3 km ≈ 0.014 km
Part D: Perimeter = 1.44e-02 km (round to 2 significant digits)
Part A: Identify Dimensions: We are given the length (7.18 x 10^7 m) and width (3.4 x 10^9 m) of the rectangular chip. To simplify calculations, let's convert both dimensions to kilometers:
Length = 7.18 x 10^7 m * (1 km / 10^3 m) = 7.18 x 10^-3 km
Width = 3.4 x 10^9 m * (1 km / 10^6 m) = 3.4 x 10^-9 km
Area Formula: The area of a rectangle is calculated by multiplying its length and width.
Area = Length x Width = (7.18 x 10^-3 km) x (3.4 x 10^-9 km)
Calculate Area: Multiplying the two values in scientific notation:
Area = 2.44 x 10^-11 km²
Part B: Significant Digits: Round the area to two significant digits based on the least precise value (width has two significant digits).
Area = 2.44 x 10^-11 km² ≈ 2.4e-11 km²
Units: The area remains in square kilometers (km²).
Part C: Perimeter Formula: The perimeter of a rectangle is the sum of all its sides.
Perimeter = 2 (Length + Width)
Substitute Values:
Perimeter = 2 ((7.18 x 10^-3 km) + (3.4 x 10^-9 km))
Simplify and Round:
Perimeter ≈ 2 x 7.18 x 10^-3 km ≈ 0.014 km
Part D: Significant Digits: Round the perimeter to two significant digits based on the least precise value (length has two significant digits).
Perimeter = 0.014 km ≈ 1.44e-02 km
Units: The perimeter remains in kilometers (km).