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)
O 4.75 * 10 ^ 11
35.8 + 10 ^ 5
O 3.58 * 10 ^ 6
4.75 * 10 ^ 5
To find the sum of the populations of the two cities in scientific notation, we add the two numbers together.
3.45 * 10^6 + 1.3 * 10^5 = 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.
So the correct answer is option C: 3.58 * 10^6.
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers and combine the exponents.
The first city has a population of 3.45 * 10^6, and the second city has a population of 1.3 * 10^5.
To add these numbers, we need to align the exponents by converting the second city's population to the same exponent as the first city.
We can do this by moving the decimal point one place to the right and increasing the exponent by 1:
1.3 * 10^5 becomes 13 * 10^5.
Now we can add the two populations:
3.45 * 10^6 + 13 * 10^5 = 3.45 * 10^6 + 1.3 * 10^6.
To add these numbers, we add the coefficients and keep the exponent the same:
3.45 + 1.3 = 4.75.
Therefore, the sum of the populations of the two cities in scientific notation is 4.75 * 10^6.
So the correct answer is:
O 4.75 * 10^6.
To find the sum of the populations of the two cities in scientific notation, you need to add the numbers and then adjust the result to scientific notation format.
First, add the two numbers:
3.45 * 10^6 + 1.3 * 10^5 = 3.45 * 10^6 + 0.13 * 10^6
To add them, you need to align the powers of 10. In this case, you can rewrite 0.13 * 10^6 as 1.3 * 10^5 since they have the same power.
Now you can add the numbers:
3.45 * 10^6 + 1.3 * 10^5 = 3.45 * 10^6 + 1.3 * 10^5 = 3.45 * 10^6 + 0.13 * 10^6 = 3.58 * 10^6
So the sum of the populations of the two cities is 3.58 * 10^6.
Therefore, the correct answer is: 3.58 * 10^6.