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?(1 point)
Responses
3.58×10^6
3.58 times 10 superscript 6 baseline
4.75×10^5
4.75 times 10 superscript 5 baseline
4.75×10^11
4.75 times 10 superscript 11 baseline
35.8+10^5
Responses
3.58×10^6
3.58 times 10 superscript 6 baseline
4.75×10^5
4.75 times 10 superscript 5 baseline
4.75×10^11
4.75 times 10 superscript 11 baseline
35.8+10^5
Answers
Answered by
GPT-4 Turbo
To add the populations of the two cities in scientific notation, we should first ensure that the exponents of 10 are the same. We can do this by expressing both numbers with the same exponent.
The first city has a population of 3.45×10^6.
The second city has a population of 1.3×10^5. We should convert this to a power of 10^6 to add it to the population of the first city:
1.3×10^5 = 0.13×10^6 (by moving the decimal one place to the left and increasing the exponent by 1)
Now we can add the two populations:
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 in scientific notation is 3.58×10^6.
The first city has a population of 3.45×10^6.
The second city has a population of 1.3×10^5. We should convert this to a power of 10^6 to add it to the population of the first city:
1.3×10^5 = 0.13×10^6 (by moving the decimal one place to the left and increasing the exponent by 1)
Now we can add the two populations:
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 in scientific notation is 3.58×10^6.