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)
The area of the Canadian football field is 9.75×10^3 square yards.
To find the area of the Canadian football field, we need to add the additional 3,350 square yards to the area of the American football field.
Given that the area of the American football field is 6.4×10^3 square yards, we can express the additional area as 3,350 square yards.
Adding the additional area to the American football field area, we have: 6.4×10^3 + 3,350 = 9.75×10^3 square yards.
Therefore, the area of the Canadian football field is 9.75×10^3 square yards.
To find the area of the Canadian football field, we need to add the additional area of 3,350 square yards to the area of the American football field.
Given that the area of the American football field is 6.4 x 10^3 square yards, we can represent the area of the Canadian football field as:
6.4 x 10^3 + 3,350 square yards
To add these two values, we need to convert the area of the American football field into the same units as the additional area, which is 3,350 square yards.
To convert 6.4 x 10^3 square yards to square yards, we simply multiply it by 1:
6.4 x 10^3 x 1 = 6.4 x 10^3
Now, we can add the areas:
6.4 x 10^3 + 3,350 = 6.4 x 10^3 + 3.35 x 10^3
To add these two values, we need to have the same base, which is 10. We can rewrite 3.35 x 10^3 as 3.35 x 10^3 x 10^0:
6.4 x 10^3 + 3.35 x 10^3 x 10^0 = 6.4 x 10^3 + 3.35 x 10^3 x 10^0
Now, we can add the numbers:
6.4 x 10^3 + 3.35 x 10^3 x 10^0 = (6.4 + 3.35) x 10^3
Calculating the sum:
6.4 + 3.35 = 9.75
Now, let's express the answer in scientific notation to 2 decimal places:
9.75 x 10^3
So, the area of the Canadian football field is 9.75 x 10^3 square yards, in scientific notation to 2 decimal places.