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

Question

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

1.713×10
6


7.1883×10
11


2.43×10
5


7.1883×10
26

Answer 1

To find the combined water capacity of the two towers, we need to add the capacities together. The capacities are given as:

• Tower 1: \( 7.35 \times 10^5 \) gallons
• Tower 2: \( 9.78 \times 10^5 \) gallons

First, we can add the numbers in front of the powers of ten:

\[ 7.35 + 9.78 = 17.13 \]

Since both terms have the same power of ten (\(10^5\)), we can combine them:

\[ 17.13 \times 10^5 \]

Now, we need to express \(17.13\) in scientific notation. This can be done by rewriting \(17.13\) as \(1.713 \times 10^1\):

\[ 17.13 \times 10^5 = 1.713 \times 10^1 \times 10^5 \]

Using the rules of exponents, we can combine the powers of 10:

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

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

\[ 1.713 \times 10^6 \]

So, the correct answer is:

1.713×10^6