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

1 answer

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