To find the area of a Canadian football field, we need to start with the area of the American football field, which is given as \(6.4 \times 10^3\) square yards.
The area of the Canadian football field is \(3,350\) square yards larger than that of the American football field. We can calculate this as follows:
\[ \text{Area of Canadian football field} = \text{Area of American football field} + 3,350 \] \[ = 6.4 \times 10^3 + 3,350 \]
First, we need to convert \(3,350\) into scientific notation: \[ 3,350 = 3.35 \times 10^3 \]
Now, we can add the two quantities:
\[ 6.4 \times 10^3 + 3.35 \times 10^3 = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3 \]
The area of a Canadian football field is \(9.75 \times 10^3\) square yards.
In scientific notation to two decimal places, the final answer is:
\[ \boxed{9.75 \times 10^3} \]
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