A city has two water towers. One tower holds 7.3 5× 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?

Answer 1

To find the combined water capacity of the two water towers, we need to add the two values together. We have:

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

Since both numbers are expressed in scientific notation with the same exponent \( 10^5 \), we can simply add the coefficients:

\[ 7.35 + 9.78 = 17.13 \]

Now, we need to express \( 17.13 \) in scientific notation. To do this, we can convert \( 17.13 \) to \( 1.713 \times 10^1 \). Therefore, we have:

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

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

\[ \boxed{1.713 \times 10^6} \text{ gallons} \]