Add 7.3×107+1.8×107. Which is the correct sum?(1 point)
1. 9.1 x 10^7
2. 3.58 x 10^6
3. 2.953 x 10^5
4. 447,000,000,000
5. 5.12 x 10^11
A certain insect is approximately 4×10^−2 inches long. A second insect is about 1.3×10^−1 inches long. What is the total length of the two insects in inches? Use scientific notation to express your answer to 1 decimal place.(1 point)
Apologies for the confusion. Let's revise the answer correctly:
The length of the first insect is 4×10^−2 inches.
The length of the second insect is 1.3×10^−1 inches.
To find the total length, we add the two lengths:
4×10^−2 + 1.3×10^−1
To add these values, we need to align the powers of 10:
4×10^−2 + 13×10^−2
Combining the numbers:
4 + 13 = 17
So, the total length of the two insects is 17×10^−2 inches.
In scientific notation with one decimal place, we need to adjust the value:
17×10^−2 = 1.7×10^−1
Therefore, the total length of the two insects in scientific notation with one decimal place is approximately 1.7×10^−1 inches.
Add 7.3×10^7+1.8×10^7. Which is the correct sum?(1 point)
The correct sum is 9.1×10^7.
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?(1 point)
To find the sum of the populations in scientific notation, we can add the numbers and then adjust the result to be in scientific notation.
The sum of the populations is 3.45×10^6 + 1.3×10^5.
First, let's add the numbers without considering the powers of 10:
3.45 + 0.13 = 3.58
Now, let's adjust the result to be in scientific notation. Notice that the larger population is in the format 3.45×10^6, which has one decimal place. Therefore, when we adjust the result, it should also have one decimal place.
The result is 3.58, and we can write it in scientific notation as 3.58×10^6 by moving the decimal point one place to the right.
Therefore, the sum of the populations of the two cities in scientific notation is 3.58×10^6.
An empty dump truck weighs about 2.8×10^5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)
To find the weight of the dump truck with the trash added, we can add the weight of the empty truck and the weight of the trash.
The weight of the empty dump truck is given as 2.8×10^5 pounds.
The weight of the truck with the trash added is 2.8×10^5 + 1.53×10^4 pounds.
To add these numbers, we first need to align the powers of 10:
2.8×10^5 + 1.53×10^4 = (2.8×10^5) + (0.153×10^5)
Now, we can add the numbers without considering the powers of 10:
2.8 + 0.153 = 2.953
Since the result is 2.953, and we want it in scientific notation, we need to adjust it:
The larger weight is in the format 2.8×10^5, which has one decimal place. Therefore, the result should also have one decimal place.
We can write the result as 2.953×10^5 by moving the decimal point one place to the right.
Therefore, the weight of the dump truck with the trash added is approximately 2.953×10^5 pounds.