The population of a city is given as 3.45 x 10°. A nearby city has a population of 1.3 x 105. What is the sum of the populations of the two cities in scientific notation? (1 point)
• 3.58 x 10^6
• 35.8 + 10^5
• 4.75 × 10^5
• 4.75 × 10^11
To find the sum of the populations of the two cities in scientific notation, we will add the populations together.
The population of the first city is given as 3.45 x 10^0.
The population of the second city is given as 1.3 x 10^5.
To add these populations together, we need to make sure the powers of 10 are the same. We can do this by converting the population of the first city to scientific notation:
3.45 x 10^0 = 3.45 x 10^5 x 10^-5
Now we can add the two populations together:
(3.45 x 10^5) + (1.3 x 10^5) = 4.75 x 10^5
Therefore, the sum of the populations of the two cities in scientific notation is 4.75 x 10^5.
The correct answer is:
• 4.75 × 10^5
To find the sum of the populations of the two cities in scientific notation, we need to add the two population values.
The first city has a population of 3.45 x 10^0, which can be simplified to 3.45.
The second city has a population of 1.3 x 10^5, which can be simplified to 130,000.
Adding these two values together, we get:
3.45 + 130,000 = 130,003.45
Converting this back to scientific notation, we move the decimal point two places to the left to get a number between 1 and 10. Then we need to move the decimal point and adjust the exponent accordingly to represent the entire population.
Therefore, the sum of the populations of the two cities in scientific notation is:
1.3000345 x 10^5
To find the sum of the populations of the two cities in scientific notation, we need to add the numbers and adjust the result to scientific notation.
The population of the first city is given as 3.45 x 10^0. Since any number raised to the power of zero is equal to 1, we can rewrite this as 3.45 x 1.
The population of the second city is given as 1.3 x 10^5.
To add these two populations, we need to adjust their powers of 10 to be the same. In this case, we can convert the population of the first city to 10^5 by multiplying it by 10^5. This gives us 3.45 x 10^5.
Now, we can add the populations:
3.45 x 10^5 + 1.3 x 10^5 = 4.75 x 10^5
Therefore, the sum of the populations of the two cities in scientific notation is 4.75 x 10^5.
The correct answer is:
• 4.75 × 10^5.