Add Numbers in Scientific Notation Practice

Question

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4 of 54 of 5 Items
Question
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
Remaining Attempts : 3

Answer 1

To find the area of a Canadian football field, we start with the area of the American football field, which is \( 6.4 \times 10^3 \) square yards. Since the Canadian football field is 3,350 square yards larger, we need to add this amount to the initial area.

First, let's convert 3,350 to scientific notation:

\[ 3,350 = 3.35 \times 10^3 \]

Now we can add the areas together:

\[ 6.4 \times 10^3 + 3.35 \times 10^3 \]

Since both numbers are in the same power of ten, we can simply add the coefficients:

\[ 6.4 + 3.35 = 9.75 \]

Now we write the result back in scientific notation:

\[ 9.75 \times 10^3 \]

Thus, the area of a Canadian football field is:

\[ \boxed{9.75 \times 10^3} \text{ square yards} \]