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? Choose an answer from below.

35.8 + 10⁵
3.58 × 10⁶
4.75 × 10⁵
4.75 × 10¹¹

1 answer

To find the sum of the populations of the two cities, we need to add the population of the first city (3.45 × 10⁶) to the population of the second city (1.3 × 10⁵).

To add numbers in scientific notation, we need to make sure the exponents are the same. In this case, we can rewrite the population of the second city as 0.13 × 10⁶ (move the decimal point one place to the left).

Now, we can add the populations:

3.45 × 10⁶ + 0.13 × 10⁶ = 3.58 × 10⁶

Therefore, the sum of the populations of the two cities in scientific notation is 3.58 × 10⁶.

The correct answer is 3.58 × 10⁶.