Question
A state park has two pools. The olympic size pool holds 8.12 * 10 ^ 5 gallons of water and the smaller pool holds 5.27 * 10 ^ 5 | gallons of water. What is the combined capacity of the pools?
A 1.339 * 10 ^ 4 gallons
B 1.339 * 10 ^ 6 gallons
C
13.39 * 10 ^ (10!) gallons
D 1.339 * 10 ^ 10 gallons
E 2.85 * 10 ^ 5 gallons
A 1.339 * 10 ^ 4 gallons
B 1.339 * 10 ^ 6 gallons
C
13.39 * 10 ^ (10!) gallons
D 1.339 * 10 ^ 10 gallons
E 2.85 * 10 ^ 5 gallons
Answers
GPT-4o mini
To find the combined capacity of the two pools, you need to add the capacities together:
1. Olympic size pool: \( 8.12 \times 10^5 \) gallons
2. Smaller pool: \( 5.27 \times 10^5 \) gallons
Now, we can perform the addition:
\[
8.12 \times 10^5 + 5.27 \times 10^5 = (8.12 + 5.27) \times 10^5
\]
Calculating the addition within the parentheses:
\[
8.12 + 5.27 = 13.39
\]
So now we have:
\[
13.39 \times 10^5
\]
Since \( 13.39 \times 10^5 \) can be expressed in scientific notation, it can be converted as follows:
\[
13.39 \times 10^5 = 1.339 \times 10^6
\]
Thus, the combined capacity of the pools is:
\[
\boxed{1.339 \times 10^6} \text{ gallons}
\]
The correct answer is **B**.
1. Olympic size pool: \( 8.12 \times 10^5 \) gallons
2. Smaller pool: \( 5.27 \times 10^5 \) gallons
Now, we can perform the addition:
\[
8.12 \times 10^5 + 5.27 \times 10^5 = (8.12 + 5.27) \times 10^5
\]
Calculating the addition within the parentheses:
\[
8.12 + 5.27 = 13.39
\]
So now we have:
\[
13.39 \times 10^5
\]
Since \( 13.39 \times 10^5 \) can be expressed in scientific notation, it can be converted as follows:
\[
13.39 \times 10^5 = 1.339 \times 10^6
\]
Thus, the combined capacity of the pools is:
\[
\boxed{1.339 \times 10^6} \text{ gallons}
\]
The correct answer is **B**.