Final answer:
The area of the banner that is 2 × 103 inches long and 100 inches tall is 2 × 105 square inches when expressed in scientific notation.
Step-by-step explanation:
To calculate the area of the banner that a company wants to fly over a professional football game, you multiply its length by its height. Given that the banner is 2 × 103 inches long and 100 inches tall, the area is obtained by multiplying these two dimensions:
Area = length × height = (2 × 103) × 100 inches2.
To calculate this in scientific notation, multiply the coefficients (2 × 100) and then add the exponents (103 × 102 becomes 103+2 or 105):
Area = 2 × 100 × 103 = 200 × 103 = 2 × 102 × 103 = 2 × 105 inches2.