Question

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

4.75×10 to the power of 5
4.75 times 10 superscript 5 baseline

3.58×10 to the power of 6
3.58 times 10 superscript 6 baseline

35.8+10 to the power of 5
35.8 plus 10 superscript 5 baseline

4.75×10 to the power of 11

Answer 1

To find the sum of the populations of the two cities in scientific notation, we need to ensure both populations are expressed in the same power of ten.

The populations are:
- City A: \( 3.45 \times 10^6 \)
- City B: \( 1.3 \times 10^5 \)

First, we can convert the population of City B to the same power of ten as City A:

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

Now, we can sum the populations:

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

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

\[
\text{3.58} \times 10 \text{ to the power of 6}
\]

The correct response is:
**3.58×10 to the power of 6**