The population of a city is given as 3.45×10

Question

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)
4.75×10
5

35.8+10
5

3.58×10
6

4.75×10
11

Answer 1

To find the sum of the populations of the two cities in scientific notation, we first need to express both populations with the same exponent.

The populations are as follows:

• City A: \(3.45 \times 10^6\)
• City B: \(1.3 \times 10^5\)

We can convert City B's population to the same exponent as City A:

• Convert \(1.3 \times 10^5\) to \(0.13 \times 10^6\) (by shifting the decimal one place to the right and decreasing the exponent by one).

Now we can add the two populations together: \[ 3.45 \times 10^6 + 0.13 \times 10^6 = (3.45 + 0.13) \times 10^6 = 3.58 \times 10^6 \]

So, the sum of the populations of the two cities in scientific notation is: \[ \boxed{3.58 \times 10^6} \]