An American football field has an area of 6.4×10^3

square yards. A Canadian football field is 3,350 square yards larger. What is the area of a Canadian football field? Write your answer in scientific notation to 2 decimal places.(1 point)
____×10^3
square yards

1 answer

To find the area of the Canadian football field, we start with the area of the American football field, which is given as \( 6.4 \times 10^3 \) square yards.

Next, we need to add the difference provided for the Canadian football field:

\[ \text{Area of Canadian football field} = \text{Area of American football field} + 3350 \text{ square yards} \]

Converting \( 3350 \) square yards into scientific notation:

\[ 3350 = 3.35 \times 10^3 \text{ square yards} \]

Now, we can add the two areas:

\[ 6.4 \times 10^3 + 3.35 \times 10^3 = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3 \text{ square yards} \]

Thus, the area of the Canadian football field is:

\[ \boxed{9.75 \times 10^3} \text{ square yards} \]