To find the area of a Canadian football field, we start with the area of an American football field, which is \(6.4 \times 10^3\) square yards.
A Canadian football field is \(3,350\) square yards larger than this.
First, we need to convert \(3,350\) into scientific notation: \[ 3,350 = 3.35 \times 10^3 \text{ square yards} \]
Now we add the two areas together: \[ 6.4 \times 10^3 + 3.35 \times 10^3 = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3 \text{ square yards} \]
Now we write the result in scientific notation to two decimal places:
Thus, the area of a Canadian football field is: \[ \boxed{9.75 \times 10^3} \text{ square yards} \]
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