An American football field has an area of 6.4×103 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)

Question

×103 square yards

Answer 1

To find the area of a Canadian football field, we first need to calculate the area by adding the additional area of 3,350 square yards to the area of the American football field (6.4×10³ square yards).

First, convert 3,350 square yards to scientific notation:

$$3,350=3.35\times {10}^3\text{ square yards}$$

Now we can calculate the area of the Canadian football field:

$$\text{Area of Canadian football field}=(6.4\times {10}^3)+(3.35\times {10}^3)$$

To add these two areas, we can sum their coefficients since they are already in the same power of ten:

$$=(6.4+3.35)\times {10}^3$$ $$=(9.75)\times {10}^3$$

Now, this is in the form of scientific notation. Therefore, the area of a Canadian football field is:

$$\boxed{{\displaystyle 9.75\times {10}^3}}\text{ square yards}$$