To find the area of a 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 know that the Canadian football field is 3,350 square yards larger than the American field:
\[ \text{Area of Canadian field} = \text{Area of American field} + 3350 \]
First, convert 3,350 square yards to scientific notation.
To convert \( 3350 \): \[ 3350 = 3.35 \times 10^3 \]
Now we can add the areas:
\[ \text{Area of Canadian field} = (6.4 \times 10^3) + (3.35 \times 10^3) \]
Now we can combine the terms since they have the same exponent:
\[ = (6.4 + 3.35) \times 10^3 \] \[ = 9.75 \times 10^3 \]
Thus, the area of the Canadian football field, in scientific notation to two decimal places, is:
\[ \boxed{9.75 \times 10^3} \text{ square yards} \]
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