The population of a city is given as 3.45x10^6. A nearby city has a population of 1.3x10^5. What is the sum of the populations of the two cities in scientific notation?
1. 4.72 x 10^11
2. 35.8 + 10^5
3. 3.58 x 10^6
4. 4.75 x 10^5
To find the sum of the populations of the two cities, you simply add their values together.
(3.45x10^6) + (1.3x10^5)
The powers of 10 in scientific notation can be added together when the base (in this case, 10) is the same.
= 3.45x10^6 + 1.3x10^5
= 3.45x10^6 + 0.13x10^6 (using the properties of exponential notation)
= (3.45 + 0.13)x10^6 (combining the coefficients)
= 3.58x10^6
The sum of the populations of the two cities is 3.58x10^6, so the answer is option 3.
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers together and then express the result in scientific notation.
The population of the first city is given as 3.45x10^6, and the population of the second city is given as 1.3x10^5.
First, let's add the numbers together:
3.45x10^6 + 1.3x10^5
To add numbers in scientific notation, the exponents must be the same. In this case, we can rewrite 1.3x10^5 as 0.13x10^6 to match the exponent of the first city.
Now, we can add the numbers:
3.45x10^6 + 0.13x10^6
Adding the numbers together, we get:
3.58x10^6
So, the sum of the populations of the two cities in scientific notation is 3.58x10^6.
Therefore, the correct answer is option 3: 3.58 x 10^6.
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers before the exponent and keep the same exponent.
The population of the first city is 3.45 x 10^6, and the population of the second city is 1.3 x 10^5.
To add the numbers before the exponent, we have 3.45 + 1.3 = 4.75. The exponent remains the same, so the sum of the populations is 4.75 x 10^6.
Therefore, the correct answer is option 4. 4.75 x 10^5.