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
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
4.75×105
4.75 times 10 superscript 5 baseline
To find the sum of the populations of the two cities in scientific notation, we first need to convert the given populations into scientific notation.
The population of the first city, 3.45×10^6, is already in scientific notation.
To express the population of the second city, 1.3×10^5, as scientific notation, we need to move the decimal point one place to the right. Thus, it becomes 1.3×10^6.
Now, to find the sum of the populations in scientific notation, we add the two populations:
3.45×10^6 + 1.3×10^5 = 3.45×10^6 + 1.3×10^6
To add the numbers in scientific notation, we need to ensure that the exponents (superscripts) are the same. In this case, both populations have an exponent of 6.
Adding the populations gives us:
3.45×10^6 + 1.3×10^6 = (3.45 + 1.3)×10^6
Calculating the sum gives us:
3.45 + 1.3 = 4.75
Therefore, the sum of the populations of the two cities in scientific notation is 4.75×10^6.
So the correct answer is: 4.75×10^6
To find the sum of the populations of the two cities, you need to add the two populations together. However, since the populations are given in scientific notation, you should convert them to standard form first.
The population of the first city, given as 3.45 × 10^6, can be converted to standard form by moving the decimal point 6 places to the right, resulting in 3,450,000.
The population of the second city, given as 1.3 × 10^5, can be converted to standard form by moving the decimal point 5 places to the right, resulting in 130,000.
Now that both populations are in standard form, you can add them together: 3,450,000 + 130,000 = 3,580,000.
Finally, you express the sum in scientific notation by moving the decimal point one place to the left and adjusting the exponent accordingly. In this case, the sum in scientific notation is 3.58 × 10^6.
So the correct answer is 3.58 × 10^6.