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?
To determine the sum of the populations of the two cities in scientific notation, we can add the given populations:
(3.45 × 10^6) + (1.3 × 10^5)
When adding numbers in scientific notation, they must have the same exponent. To make that happen, we can rewrite 1.3 × 10^5 as 0.13 × 10^6:
(3.45 × 10^6) + (0.13 × 10^6)
Now, we can add the numbers:
3.45 + 0.13 = 3.58
Since 10^6 is the largest power of 10, the resulting sum will be in scientific notation with the exponent 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 in scientific notation, we need to add the two numbers together and then express the result in scientific notation.
1. Start by adding the two numbers together:
3.45×10^6 + 1.3×10^5
2. To add numbers in scientific notation, we need to make sure that the powers of 10 are the same. In this case, we can convert the second number to scientific notation with the same exponent as the first number:
1.3×10^5 = 0.13×10^6
3. Now that the powers of 10 are the same, we can add the two numbers:
3.45×10^6 + 0.13×10^6 = 3.58×10^6
4. Finally, we express the result in scientific notation:
The sum of the populations of the two cities is 3.58×10^6.
To find the sum of the populations of the two cities in scientific notation, you need to add the two numbers together.
The population of the first city is given as 3.45×10^6. This means that you multiply 3.45 by 10 raised to the power of 6. So, the population of the first city in standard notation is 3,450,000.
The population of the second city is given as 1.3×10^5. This means that you multiply 1.3 by 10 raised to the power of 5. So, the population of the second city in standard notation is 130,000.
Now, add the two populations together: 3,450,000 + 130,000 = 3,580,000.
To express this sum in scientific notation, we need to shift the decimal point so that it is between 3.58 and 0. Therefore, we write 3.58 as 3.58×10^6.
So, the sum of the populations of the two cities in scientific notation is 3.58×10^6.