The population of a city is given as 3.45×10^6 . A nearby city has a population of 1.3×10^5 . What is the sum of the populations of the two cities in scientific notation?(1 point)

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Answer 1

To find the sum of the populations of the two cities given in scientific notation:

1. The population of the first city is \(3.45 \times 10^6\).
2. The population of the nearby city is \(1.3 \times 10^5\).

Before summing, we need to make the exponents the same. The first population has an exponent of 6, while the second has an exponent of 5. We can convert \(1.3 \times 10^5\) to match the exponent of \(10^6\):

\[ 1.3 \times 10^5 = 0.013 \times 10^6 \]

Now we can add the populations:

\[ 3.45 \times 10^6 + 0.013 \times 10^6 = (3.45 + 0.013) \times 10^6 = 3.463 \times 10^6 \]

Thus, the sum of the populations of the two cities in scientific notation is:

\[ \boxed{3.463 \times 10^6} \]