![A visual representation of two city skylines, each portrayed in their respective scales to represent their population. The first city should be much larger, representing a population of 3.45 in mathematical notation, and the second city should be smaller, representing a population of 1.3 in the same notation. The sky should be under a blue, clear sky with both cities separated by a picturesque river flowing between them.](/images/questions/2143311/1024x1024.png)
The population of a city is given as 3.45×106 . A nearby city has a population of 1.3×105 . What is the sum of the populations of the two cities in scientific notation?(1 point)
Responses
35.8+105
35.8 plus 10 superscript 5 baseline
4.75×1011
4.75 times 10 superscript 11 baseline
3.58×106
3.58 times 10 superscript 6 baseline
4.75×105
4.75 times 10 superscript 5 baseline
To find the sum of the populations of the two cities, you need to add the population of the first city to the population of the second city.
Given:
Population of the first city = 3.45×10^6
Population of the second city = 1.3×10^5
To add these two numbers in scientific notation, you should make sure that the exponents are equal, and then add the coefficients:
3.45×10^6 + 1.3×10^5
Since the exponents are already the same, we can add the coefficients directly:
3.45 + 1.3 = 4.75
Therefore, the sum of the populations of the two cities in scientific notation is 4.75×10^6.
To find the sum of the populations of the two cities in scientific notation, you need to add their respective population values.
The population of the first city is given as 3.45×10^6.
The population of the second city is given as 1.3×10^5.
To add these two values, you need to ensure they have the same exponent. In this case, you can convert the population of the second city to have an exponent of 6. To do this, you need to multiply the value by 10 so that it becomes 1.3×10^6.
Now that both values have the same exponent (6), you can add the two populations:
3.45×10^6 + 1.3×10^6 = 4.75×10^6
Therefore, the sum of the populations of the two cities in scientific notation is 4.75×10^6.
So, the correct answer is 3.58×10^6.