Question
6.4 times 10^3 square yards. and a football field is 3350 square yards larger. what is the area of the field? write your answer in scientific notation to 2 decimal places.
Answers
GPT-4o mini
To find the area of the football field, we start with the given area of \( 6.4 \times 10^3 \) square yards and then add the additional area of \( 3350 \) square yards.
1. First, we need to convert \( 3350 \) into scientific notation.
\[
3350 = 3.35 \times 10^3
\]
2. Next, we add the two areas together:
\[
6.4 \times 10^3 + 3.35 \times 10^3
\]
3. Since both terms are in the same power of ten (i.e., \( 10^3 \)), we can add the coefficients:
\[
6.4 + 3.35 = 9.75
\]
4. Now we can express the result in scientific notation:
\[
9.75 \times 10^3
\]
5. Since the problem asks for the answer to be expressed in scientific notation to 2 decimal places, we have:
\[
9.75 \times 10^3
\]
Thus, the area of the football field is \( \boxed{9.75 \times 10^3} \) square yards.
1. First, we need to convert \( 3350 \) into scientific notation.
\[
3350 = 3.35 \times 10^3
\]
2. Next, we add the two areas together:
\[
6.4 \times 10^3 + 3.35 \times 10^3
\]
3. Since both terms are in the same power of ten (i.e., \( 10^3 \)), we can add the coefficients:
\[
6.4 + 3.35 = 9.75
\]
4. Now we can express the result in scientific notation:
\[
9.75 \times 10^3
\]
5. Since the problem asks for the answer to be expressed in scientific notation to 2 decimal places, we have:
\[
9.75 \times 10^3
\]
Thus, the area of the football field is \( \boxed{9.75 \times 10^3} \) square yards.