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
4.75×1011
4.75 times 10 superscript 11 baseline
3.58×106
3.58 times 10 superscript 6 baseline
35.8+105
35.8 plus 10 superscript 5 baseline
4.75×105
4.75 times 10 to the power of 5
To calculate the sum of the populations of the two cities in scientific notation, we need to add their population values together.
The population of the first city is given as 3.45×10^6 and the population of the second city is given as 1.3×10^5.
To add these values, we keep the exponents the same and add the coefficients:
3.45 × 10^6 + 1.3 × 10^5 = 3.45 × 10^6 + 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.
To find the sum of the populations of the two cities, we first need to convert both populations to the same power of 10.
The population of the first city is given as 3.45×10^6, which is already in scientific notation.
The population of the second city is given as 1.3×10^5. To convert this to the same power of 10 as the first city, we need to move the decimal point one place to the left. This gives us 1.3×10^4.
Now that both populations are in the same power of 10, we can add them together.
3.45×10^6 + 1.3×10^4
To add numbers in scientific notation, we add the numbers in front of the powers of 10 separately and keep the common power of 10.
3.45 + 0.013 = 3.463
The common power of 10 is 10^6.
Therefore, the sum of the populations of the two cities is 3.463×10^6, which is equivalent to 3.46×10^6 in scientific notation.