A city has two water towers. One tower holds 7.35×105

Question

gallons of water. The other holds 9.78×105
gallons of water. What is the combined water capacity in Scientific Notation?(1 point)
Responses

1.713×106
1 point 7 1 3 times 10 to the 6th power

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

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

Answer 1

To find the combined water capacity of the two towers, we will add the two amounts together:

1. \( 7.35 \times 10^5 \) gallons
2. \( 9.78 \times 10^5 \) gallons

Now, let's add them:

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

Now, we need to convert \( 17.13 \times 10^5 \) into proper scientific notation. In scientific notation, the coefficient (the number in front) must be between 1 and 10. Therefore, we rewrite \( 17.13 \) as \( 1.713 \) and adjust the exponent:

\[ 17.13 \times 10^5 = 1.713 \times 10^6 \]

Thus, the combined water capacity in scientific notation is:

\[ 1.713 \times 10^6 \]

The correct response is:

1.713×10^6