The population of a city is given as 3.45×106 . A nearby city has a population of 1.3×105 . What is the sum of the populations of the two cities in scientific notation?(1 point

1 answer

To find the sum of the populations of the two cities, we add them together:

  1. First city population: \(3.45 \times 10^6\)
  2. Second city population: \(1.3 \times 10^5\)

Since the two numbers are in different powers of ten, we need to express them with the same exponent before we can add them. We can convert \(1.3 \times 10^5\) to the same power of ten 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:

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