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)

Responses

4.75×10^11
4.75 times 10 superscript 11 baseline

35.8+10^5
35.8 plus 10 superscript 5 baseline

3.58×10^6
3.58 times 10 superscript 6 baseline

4.75×10^5

1 answer

To find the sum of the populations of the two cities, you need to add the population of the first city (3.45×10^6) to the population of the second city (1.3×10^5).

When adding numbers in scientific notation, the first step is to ensure that the exponents are the same. In this case, the exponent for the first city is 6 and the exponent for the second city is 5. To make the exponents the same, you can convert the population of the second city to scientific notation with an exponent of 6.

1.3×10^5 can be written as 0.13×10^6 (since 10^5 = 10^6 / 10).

Now you can add the populations in scientific notation:

3.45×10^6 + 0.13×10^6 = 3.58×10^6

Therefore, the sum of the populations of the two cities in scientific notation is 3.58×10^6.