Question

The population of a town is given as 3.45×10^6 . A nearby town 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 add the populations:

(3.45×10^6) + (1.3×10^5)

Now, since the powers of 10 are the same (6 and 5), we can add the numbers in front of 10:

3.45 + 1.3 = 4.75

Therefore, the sum of the populations of the two cities is 4.75×10^6 in scientific notation.

Answer 2

Thats not an option, the options are:
A: 4.75 X 10^5
B: 35.8 X 10^5
C: 4.75 X 10^11
D: 3.58 X 10^6

Answer 3

Apologies for the incorrect response. Let's find the sum of the populations of the two cities in scientific notation again:

(3.45×10^6) + (1.3×10^5)

To add these numbers in scientific notation, we need to adjust them to have the same exponent. We can do this by moving the decimal point in 1.3×10^5 one place to the right:

(3.45×10^6) + (13×10^4)

Now, we can add the numbers in front of 10:

3.45 + 13 = 16.45

The sum is 16.45×10^4.

To write this in scientific notation, we need to move the decimal point one place to the left:

1.645×10^5

Therefore, the sum of the populations of the two cities is 1.645×10^5, which corresponds to option A.