The population of a city is given as 3.45×106

Question

. 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)
Responses

4.75×105
4.75 times 10 superscript 5 baseline

3.58×106
3.58 times 10 superscript 6 baseline

4.75×1011
4.75 times 10 superscript 11 baseline

35.8+105
35.8 plus 10 superscript 5 baseline

Answer 1

To find the sum of the populations of the two cities, we can first express them in scientific notation:

1. City A: \(3.45 \times 10^6\)
2. City B: \(1.3 \times 10^5\)

To add these two values, we need them to have the same power of 10. We can convert City B's population to a similar power of 10 as City A:

• \(1.3 \times 10^5 = 0.013 \times 10^6\)

Now we can add them:

\[ 3.45 \times 10^6 + 0.013 \times 10^6 = (3.45 + 0.013) \times 10^6 = 3.463 \times 10^6 \]

Now we need to express \(3.463\) in scientific notation. It is already in the range [1, 10), so we stay as is:

The final result in scientific notation is:

\[ 3.463 \times 10^6 \]

However, from the options you provided, none match this result. Is there a possibility that an alternative rounding or formatting was applied to the numbers or lacks precision in the options given? Please double-check the options provided. Would you like to proceed with only the closest answer from your options?