A city has two water towers. One tower holds 7.35×10(5)

Question

gallons of water. The other holds 9.78×10(5)
gallons of water. What is the combined water capacity in Scientific Notation?(1 point)
Responses

7.1883×1026
7 point 1 8 8 3 times 10 to the 26th power

7.1883×1011
7 point 1 8 8 3 times 10 to the 11th power

2.43×105
2 point 4 3 times 10 to the 5th power

1.713×106

Answer 1

To find the combined water capacity of the two water towers, we need to add their capacities:

1. First water tower: \(7.35 \times 10^5\) gallons
2. Second water tower: \(9.78 \times 10^5\) gallons

Now, we simply add these two numbers:

\[ 7.35 \times 10^5 + 9.78 \times 10^5 = (7.35 + 9.78) \times 10^5 = 17.13 \times 10^5 \]

Next, we need to express this in proper scientific notation. The number \(17.13\) can be rewritten as \(1.713 \times 10^1\). Combining this with the \(10^5\) from our original expression:

\[ 17.13 \times 10^5 = 1.713 \times 10^{1+5} = 1.713 \times 10^6 \]

So the combined water capacity of the two towers in scientific notation is:

1.713×10^6 gallons.