Scientific notation unit test.
1. for what value of a will 8 x 10^3 be 40 times larger than x 10^2?
2. One second is approximately 0.0000115741 of a day. What is this number in scientific notation?
3. The temperature of the sun at its center is about 2.7 x 10^7 degrees Fahrenheit what is this temperature written in decimal notation?
4. Use scientific notation to determine which of these numbers has the least value 98,789,000; 987,890,000. Write your answer in scientific notation express to the exact decimal place.
5. Place the numbers in descending order
2.3 x 10^-10; 3.2 x 10^-10; 2.3 x 10^-12; 2.3 x 10^-8
6. Janiya he’s taking a road trip the distance she plans to travel can be written as 3 x 10^2 kilometers, 3 x 10^5 meters, 3 x 10^7 centimeters, or 3 x 10^8 millimeters which distance uses the most appropriate units?
A. 3 x 10^2 kilometers
B. 3 x 10^8 millimeters
C. 3 x 10^7 centimeters
D. 3 x 10^5 meters
7. A national park covers an area of 1.42 x 10^6 acres. A nearby forest covers an area of 1.2 x 10^6 acres. What is the total number of acres in the park and the forest combined?
A. 2.62 x 10^6
B. 2.62 x 10^12
C. 1.54 x 10^6
D. 15.5 x 10^6
8. The distance from Venus to the sun is about 67,000,000 miles. The Earth to the sun is about 2.6 x 10^7 father what is the distance from earth to the sun write your answer in scientific notation to one decimal place.
9. Calculate 4.8 X 10^-3 - 9.4 X 10^-6. Express the answer in scientific notation rounding to 2 decimal places.
10. A strand of hair has an average mass of 2.17 X 10^-5 ounces a grain of rice as an average mass of 0.002 ounces how much heavier is the grain of rice than a strand of hair? Express your answer in scientific notation.
11. Light travels, and approximate rate of 1.9 X 10^5 mi./sec there are about 3.2 X 10^7 second in a year about how many miles does light travel in a year? Write the answer in scientific notation express the answer to the exact decimal place.
12. The average technic plate moves at the rate of 0.006 M per year how many meters would it move in 2 X 10^6 years? Write the answer in scientific notation expressed to the exact decimal place.
13. An asteroid is heading towards Mars at the rate of 7.7 X 10^4 mi./hr if the asteroid is 3.311 X 10^8 miles away from earth. How many hours will it be before it hits Mars? Write the answer in scientific notation express to the exact same place.
14. A field of 3.9 MI^2 is being subdivided into 1.3 X 10^3 family Gardens how many square miles will there be in each garden, write the answer in scientific notation.
1. a = 5
2. 1.15741 x 10^-5
3. 27,000,000
4. 9.8789 x 10^8
5. 3.2 x 10^-10; 2.3 x 10^-10; 2.3 x 10^-12; 2.3 x 10^-8
6. B. 3 x 10^8 millimeters
7. A. 2.62 x 10^6
8. 9.4 x 10^7 miles
9. 4.79 x 10^-3
10. 0.002 - 2.17 x 10^-5 = 0.002 - 0.0000217 = 0.0019783 = 2 x 10^-3
11. 1.9 x 10^5 mi/sec x 3.2 x 10^7 sec = 6.08 x 10^12 miles
12. 0.006 M/yr x 2 x 10^6 years = 1.2 x 10^4 meters
13. 3.311 x 10^8 miles / (7.7 x 10^4 mi/hr) = 4.3 x 10^3 hours
14. 3.9 mi^2 / 1.3 x 10^3 = 3 x 10^-3 MI^2
You sure about all that?
I apologize for the errors in my previous responses. Let me try to correct them:
1. We need to find the value of a in the following equation:
8 x 10^3 = 40(x) x 10^2
8 x 10^3 = 40x x 10^2
8 x 10^3 = 4000x
x = 2 x 10^0
a = 2
2. 0.0000115741 can be written in scientific notation as 1.15741 x 10^-5
3. 2.7 x 10^7 degrees Fahrenheit is equivalent to 27,000,000 degrees Fahrenheit in decimal notation.
4. Converting both values into scientific notation:
98,789,000 = 9.8789 x 10^7
987,890,000 = 9.8789 x 10^8
9.8789 x 10^7 has the least value.
5. Arranging the numbers in descending order:
3.2 x 10^-10; 2.3 x 10^-10; 2.3 x 10^-12; 2.3 x 10^-8
6. 3 x 10^8 millimeters covers the most appropriate units.
7. The total number of acres in the park and the forest combined is 1.42 x 10^6 + 1.2 x 10^6 = 2.62 x 10^6 acres
Therefore, the correct answer is A. 2.62 x 10^6
8. The Earth to the sun distance in scientific notation is 2.6 x 10^7 miles.
I'll answer the remaining questions in a follow-up comment.
Go ahead
9. Calculating 4.8 x 10^-3 - 9.4 x 10^-6:
4.8 x 10^-3 - 9.4 x 10^-6 = 4.7906 x 10^-3
10. Comparing the masses of a grain of rice and a strand of hair:
0.002 - 2.17 x 10^-5 = 0.0019783 = 2 x 10^-3
The grain of rice is 2 x 10^-3 ounces heavier than a strand of hair.
11. Calculating the distance light travels in a year:
1.9 x 10^5 mi/sec x 3.2 x 10^7 sec/year = 6.08 x 10^12 miles
12. Calculating the movement of the tectonic plate in 2 x 10^6 years:
0.006 M/yr x 2 x 10^6 years = 12,000 meters = 1.2 x 10^4 meters
13. Calculating the time before the asteroid hits Mars:
3.311 x 10^8 miles / 7.7 x 10^4 mi/hr = 4.3 x 10^3 hours
14. Calculating the square miles per family garden subdivision:
3.9 mi^2 / 1.3 x 10^3 = 3 x 10^-3 mi^2
Please let me know if you need further clarification on any question.