The population of a city is given as 3.45 x 10^6. A nearby city has a population of 1.3 x 10^5. What is the sum of the populations of the two cities in scientific notation?
a 4.75 x 10^5
b 3.58 x 10^6
c 4.75 x 10^11
d 35.8 + 10^5
To add the populations of the two cities in scientific notation, we need to have the same power of 10.
The population of the first city is 3.45 x 10^6, which is already in scientific notation.
The population of the second city is 1.3 x 10^5, which can be written in scientific notation as 0.13 x 10^6.
Now that both populations have the same power of 10, we can add them together.
3.45 x 10^6 + 0.13 x 10^6 = (3.45 + 0.13) x 10^6 = 3.58 x 10^6
The sum of the populations of the two cities in scientific notation is 3.58 x 10^6, which corresponds to option b.
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers and multiply the powers of 10.
The population of the first city is 3.45 x 10^6.
The population of the second city is 1.3 x 10^5.
To add these numbers, we need to make sure the powers of 10 are the same. We can do this by converting the population of the second city to scientific notation with the same power of 10.
1.3 x 10^5 can be written as 0.13 x 10^6.
Now, we can add the two numbers:
3.45 x 10^6 + 0.13 x 10^6 = 3.58 x 10^6.
So, the sum of the populations of the two cities in scientific notation is 3.58 x 10^6.
The correct answer is (b) 3.58 x 10^6.
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers before the exponential term (the mantissas) and keep the same exponential term.
The population of the first city is given as 3.45 x 10^6, and the population of the second city is given as 1.3 x 10^5.
To add the mantissas, we add 3.45 and 1.3, which gives us 4.75.
Since both populations are given in scientific notation, we keep the same exponential term, which is 10^6.
Therefore, the sum of the populations of the two cities in scientific notation is 4.75 x 10^6.
So, the correct answer is option b: 3.58 x 10^6.