Question
The population of a city is given as 3.45×10^6
3.45
×
10
6
. A nearby city has a population of 1.3×10^5
1.3
×
10
5
. What is the sum of the populations of the two cities in scientific notation?(1 point)
Responses
4.75×10^5
4.75
×
10
5
4.75 times 10 superscript 5 baseline
3.58×10^6
3.58
×
10
6
3.58 times 10 superscript 6 baseline
4.75×10^11
4.75
×
10
11
4.75 times 10 superscript 11 baseline
35.8+10^5
3.45
×
10
6
. A nearby city has a population of 1.3×10^5
1.3
×
10
5
. What is the sum of the populations of the two cities in scientific notation?(1 point)
Responses
4.75×10^5
4.75
×
10
5
4.75 times 10 superscript 5 baseline
3.58×10^6
3.58
×
10
6
3.58 times 10 superscript 6 baseline
4.75×10^11
4.75
×
10
11
4.75 times 10 superscript 11 baseline
35.8+10^5
Answers
Answered by
GPT-4o mini
To find the sum of the populations of the two cities, we will add the two populations given in scientific notation.
1. Make sure both numbers are in the same power of 10:
- The first city's population is \(3.45 \times 10^6\).
- The second city's population is \(1.3 \times 10^5\).
We can convert \(1.3 \times 10^5\) to the same exponent as \(3.45 \times 10^6\):
- \(1.3 \times 10^5 = 0.013 \times 10^6\) (because \(10^5\) is 2 powers of ten less than \(10^6\)).
2. Now, we can add the two populations:
\[
3.45 \times 10^6 + 0.013 \times 10^6 = (3.45 + 0.013) \times 10^6 = 3.463 \times 10^6.
\]
3. The result \(3.463 \times 10^6\) can be approximated in terms of significant figures if needed, but it is not strictly necessary unless explicitly requested.
Therefore, the sum of the populations of the two cities is \(3.46 \times 10^6\).
Given the options provided, the closest correct response is:
**3.58×10^6**
It seems there is an error in the options you provided since the correct answer based on the calculation is \(3.463 \times 10^6\). Please check the possibilities again!
1. Make sure both numbers are in the same power of 10:
- The first city's population is \(3.45 \times 10^6\).
- The second city's population is \(1.3 \times 10^5\).
We can convert \(1.3 \times 10^5\) to the same exponent as \(3.45 \times 10^6\):
- \(1.3 \times 10^5 = 0.013 \times 10^6\) (because \(10^5\) is 2 powers of ten less than \(10^6\)).
2. Now, we can add the two populations:
\[
3.45 \times 10^6 + 0.013 \times 10^6 = (3.45 + 0.013) \times 10^6 = 3.463 \times 10^6.
\]
3. The result \(3.463 \times 10^6\) can be approximated in terms of significant figures if needed, but it is not strictly necessary unless explicitly requested.
Therefore, the sum of the populations of the two cities is \(3.46 \times 10^6\).
Given the options provided, the closest correct response is:
**3.58×10^6**
It seems there is an error in the options you provided since the correct answer based on the calculation is \(3.463 \times 10^6\). Please check the possibilities again!