Question

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?

Answer 1

To determine the sum of the populations of the two cities in scientific notation, we can add the given populations:

(3.45 × 10^6) + (1.3 × 10^5)

When adding numbers in scientific notation, they must have the same exponent. To make that happen, we can rewrite 1.3 × 10^5 as 0.13 × 10^6:

(3.45 × 10^6) + (0.13 × 10^6)

Now, we can add the numbers:

3.45 + 0.13 = 3.58

Since 10^6 is the largest power of 10, the resulting sum will be in scientific notation with the exponent 10^6:

3.58 × 10^6

Therefore, the sum of the populations of the two cities in scientific notation is 3.58×10^6.