The population of a city is given as 3.45 x 10% 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)

O 35.8 + 105
• 4.75 x 105
• 3.58 × 108
• 4.75 x 1011

1 answer

To find the sum of the populations of the two cities, we need to add the values together.

The population of the first city is given as 3.45 x 10^5 (in scientific notation).

The population of the second city is given as 1.3 x 10^5 (in scientific notation).

To add these together, we need to ensure that the powers of 10 are the same. We can do this by converting the population of the second city to scientific notation:

1.3 x 10^5 = 13 x 10^4

Now that both values are in scientific notation, we can add them together:

3.45 x 10^5 + 13 x 10^4 = 3.45 x 10^5 + 0.13 x 10^6

To add these, we first need to make the powers of 10 the same:

3.45 x 10^5 + 0.13 x 10^6 = 3.45 x 10^5 + 1.3 x 10^5

Now, we can add the coefficients:

3.45 + 1.3 = 4.75

Finally, we can write the sum in scientific notation:

4.75 x 10^5

Therefore, the sum of the populations of the two cities is 4.75 x 10^5. So, the correct answer is the option "4.75 x 10^5".