The population of a city is given as 3.45×106 . 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
4.75×1011
4.75 times 10 superscript 11 baseline
35.8+105
35.8 plus 10 superscript 5 baseline
4.75×105
4.75 times 10 superscript 5 baseline
3.58×106
To find the sum of the populations of the two cities in scientific notation, you can use the rules of scientific notation.
Population of first city: 3.45×10^6
Population of second city: 1.3×10^5
To add these two populations, they need to have the same exponent. To do this, we can convert the second city's population to scientific notation with the same exponent as the first city:
Population of second city in scientific notation: 13×10^4
Now, we can add the populations:
(3.45×10^6) + (13×10^4)
To add the numbers, we need to make sure the exponents are the same, so we can convert 13×10^4 to scientific notation with the same exponent:
(3.45×10^6) + (1.3×10^5 × 10^1)
Now, we can add the numbers:
(3.45×10^6) + (1.3×10^6)
Adding the numbers gives us:
4.75×10^6
Therefore, the sum of the populations of the two cities in scientific notation is 4.75×10^6.