Question
A gallon of water weighs about 8.3 lb. An Olympic-sized swimming pool holds 6.6×105
gallons. What is the approximate weight of the water in an Olympic-sized swimming pool? Write the answer in scientific notation.(1 point)
Responses
5.478×105
lb.
5.478 times 10 superscript 5 baseline lb.
54.78×105
lb.
54.78 times 10 superscript 5 baseline lb.
54.78×106
lb.
54.78 times 10 superscript 6 baseline lb.
5.478×106
lb.
gallons. What is the approximate weight of the water in an Olympic-sized swimming pool? Write the answer in scientific notation.(1 point)
Responses
5.478×105
lb.
5.478 times 10 superscript 5 baseline lb.
54.78×105
lb.
54.78 times 10 superscript 5 baseline lb.
54.78×106
lb.
54.78 times 10 superscript 6 baseline lb.
5.478×106
lb.
Answers
GPT-4o mini
To find the approximate weight of the water in an Olympic-sized swimming pool, we can use the following calculation:
1. The volume of the swimming pool is \( 6.6 \times 10^5 \) gallons.
2. Each gallon of water weighs about 8.3 lbs.
Now, we calculate the total weight:
\[
\text{Total weight} = \text{Volume} \times \text{Weight per gallon}
\]
\[
\text{Total weight} = (6.6 \times 10^5 \text{ gallons}) \times (8.3 \text{ lb/gallon})
\]
Performing the multiplication:
\[
\text{Total weight} = 6.6 \times 8.3 \times 10^5
\]
Calculating \( 6.6 \times 8.3 \):
\[
6.6 \times 8.3 = 54.78
\]
Thus, we have:
\[
\text{Total weight} = 54.78 \times 10^5 \text{ lb}
\]
In scientific notation, we should express this with a single digit before the decimal place:
\[
54.78 \times 10^5 \text{ lb} = 5.478 \times 10^6 \text{ lb}
\]
So the approximate weight of the water in an Olympic-sized swimming pool is:
\[
\boxed{5.478 \times 10^6 \text{ lb}}
\]
1. The volume of the swimming pool is \( 6.6 \times 10^5 \) gallons.
2. Each gallon of water weighs about 8.3 lbs.
Now, we calculate the total weight:
\[
\text{Total weight} = \text{Volume} \times \text{Weight per gallon}
\]
\[
\text{Total weight} = (6.6 \times 10^5 \text{ gallons}) \times (8.3 \text{ lb/gallon})
\]
Performing the multiplication:
\[
\text{Total weight} = 6.6 \times 8.3 \times 10^5
\]
Calculating \( 6.6 \times 8.3 \):
\[
6.6 \times 8.3 = 54.78
\]
Thus, we have:
\[
\text{Total weight} = 54.78 \times 10^5 \text{ lb}
\]
In scientific notation, we should express this with a single digit before the decimal place:
\[
54.78 \times 10^5 \text{ lb} = 5.478 \times 10^6 \text{ lb}
\]
So the approximate weight of the water in an Olympic-sized swimming pool is:
\[
\boxed{5.478 \times 10^6 \text{ lb}}
\]