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) ×103 square yards

Answer 1

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:

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