Question

the population of the city is given as 3.45×10 to the power of six a nearby city has a population of 1.3×10 to the power of five what is the sum of the populations of the two cities in scientific notation?

Answer 1

To find the sum of the populations of the two cities in scientific notation, we first express both numbers in standard form:

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

Since \( 10^6 \) is much larger than \( 10^5 \), we need to express the second population in terms of \( 10^6 \):

\[
1.3 \times 10^5 = 0.13 \times 10^6
\]

Now, we can add the two populations:

\[
3.45 \times 10^6 + 0.13 \times 10^6 = (3.45 + 0.13) \times 10^6 = 3.58 \times 10^6
\]

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

\[
\boxed{3.58 \times 10^6}
\]