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 find the sum of the populations of the two cities in scientific notation, we need to add the two numbers while keeping them in the form of scientific notation.

The population of the first city is given as 3.45 * 10^6.
The population of the second city is given as 1.3 * 10^5.

First, we need to convert the population of the second city to the same power of 10 as the first city so that we can add them together.

To do this, we can express the population of the second city in scientific notation with the same power of 10 as the first city:

1.3 * 10^5 = 0.13 * (10^1) * (10^5) = 0.13 * 10^(1+5) = 0.13 * 10^6.

Now, we can add the two numbers:

3.45 * 10^6 + 0.13 * 10^6 = (3.45 + 0.13) * 10^6 = 3.58 * 10^6.

Therefore, the sum of the populations of the two cities is 3.58 * 10^6.