A skyscraper has a mass of 2.2×10^5 tons. Another skyscraper in the same town has a mass of 3.7×10^5 tons. What is the combined mass, in tons, of the two skyscrapers? Use scientific notation to express your answer to 1 decimal place.(1 point)
5.9×10^5 tons
A skyscraper has a mass of 2.2×10^5 tons. Another skyscraper in the same town has a mass of 3.7×10^5 tons. What is the combined mass, in tons, of the two skyscrapers? Use scientific notation to express your answer to 1 decimal place.(1 point)
To find the combined mass, you simply add the masses of the two skyscrapers:
2.2×10^5 tons + 3.7×10^5 tons = 5.9×10^5 tons
Therefore, the combined mass of the two skyscrapers is 5.9×10^5 tons.
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)
To find the total length of the two insects, you simply add their lengths together:
4×10^−2 inches + 1.3×10^−1 inches = 4×10^−2 + 13×10^−2 = 17×10^−2
Since 17×10^−2 is not in scientific notation form, we need to convert it. 17×10^−2 is the same as 1.7×10^−1.
Therefore, the total length of the two insects in inches is 1.7×10^−1 inches.
A human hair has a diameter of about 4×10^−3 inches. A fingernail is about 0.011 inches thicker. How thick is a fingernail? Write your answer as a decimal to 3 places.(1 point)
To find the thickness of the fingernail, we need to add the diameter of the human hair to the additional thickness of the fingernail:
4×10^-3 inches (hair diameter) + 0.011 inches (additional thickness of the fingernail) = 0.015 inches
Therefore, a fingernail is 0.015 inches thick.
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 of the two cities, you simply add their populations:
3.45×10^6 + 1.3×10^5
When adding numbers in scientific notation, you need to make sure that the exponents are the same. You can convert 1.3×10^5 to 0.13×10^6 to match the exponent of 3.45×10^6:
3.45×10^6 + 0.13×10^6 = 3.58×10^6
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 after adding 15,300 pounds of trash, you simply add the weight of the empty dump truck to the weight of the trash:
2.8×10^5 pounds + 15,300 pounds
In order to add these two values in scientific notation, you need to convert 15,300 to scientific notation. 15,300 can be written as 1.53×10^4 (move the decimal point 3 places to the left to convert to scientific notation).
Now, add the weights:
2.8×10^5 pounds + 1.53×10^4 pounds = 2.95×10^5 pounds
Therefore, the weight of the dump truck after adding 15,300 pounds of trash is 2.95×10^5 pounds.