The population of a city is given as 3.45×10^6 . 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)

Question

Responses

3.58×106
3.58 times 10 superscript 6 baseline

4.75×105
4.75 times 10 superscript 5 baseline

35.8+105
35.8 plus 10 superscript 5 baseline

4.75×1011

Answer 1

To find the sum of the populations of the two cities given in scientific notation, we need to ensure they are expressed with the same exponent before adding them.

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 larger than \(10^5\), we can convert the population of the second city to the same exponent:

\[ 1.3 \times 10^5 = 1.3 \times 10^5 \times \frac{10^1}{10^1} = 1.3 \times 10^6 \times 0.1 = 0.13 \times 10^6 \]

Now we can add 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:

3.58×10^6.