An American football field has an area of 6.4 x 10^3 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.
The area of the Canadian football field is 9.75 x 10^3 square yards.
To find the area of the Canadian football field, we need to add 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 write this as 6.4 * 10^3.
Adding 3,350 square yards to this area:
6.4 * 10^3 + 3,350 = 6.4 * 10^3 + 3.35 * 10^3
To add these numbers in scientific notation, we need to make sure the exponents are the same. In this case, they are both multiplied by 10^3, so we can add the coefficients:
6.4 * 10^3 + 3.35 * 10^3 = (6.4 + 3.35) * 10^3
Simplifying the addition:
6.4 + 3.35 = 9.75
The area of the Canadian football field is 9.75 * 10^3 square yards.
Writing this in scientific notation to 2 decimal places, we get:
9.75 * 10^3 = 9.75 * 10^3 (since the decimal part is already rounded to 2 decimal places).
Therefore, the area of a Canadian football field is 9.75 x 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.
The area of the American football field is given as 6.4 x 10^3 square yards. To convert this to standard notation, we multiply 6.4 by 10^3:
6.4 x 10^3 = 6,400 square yards
Now, we can add the additional 3,350 square yards to the American football field's area:
6,400 + 3,350 = 9,750 square yards
To write this in scientific notation to 2 decimal places, we need to move the decimal point to the left until we have a number between 1 and 10. Counting the number of decimal places we moved, we get:
9,750 = 9.75 x 10^3
Therefore, the area of a Canadian football field is 9.75 x 10^3 square yards.