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

1 answer

To sum the populations of the two cities written in scientific notation, we need to ensure that they have the same exponent.

The populations are:

  1. City A: \( 3.45 \times 10^6 \)
  2. City B: \( 1.3 \times 10^5 \)

We can convert \( 1.3 \times 10^5 \) to have the same exponent as \( 3.45 \times 10^6 \):

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

Now we can add the two populations:

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

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

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