Scientific Notation Mastery
This worksheet focuses on converting numbers to and from scientific notation, performing calculations, and understanding its applications for Grade 11 students.
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Scientific Notation Mastery
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Read each question carefully and provide your answer in the space provided. Show all your work for calculations.
Convert the following numbers into scientific notation:
1. 34,500,000,000
2. 0.00000000078
3. 1,230,000
4. 0.0000056
Convert the following numbers from scientific notation into standard form:
1. 6.7 x 10^9
2. 2.15 x 10^-7
3. 9.003 x 10^4
4. 8.1 x 10^-2
Perform the following calculations and express your answer in scientific notation:
1. (3.0 x 10^5) * (2.0 x 10^3)
2. (8.0 x 10^7) / (2.0 x 10^2)
3. (4.5 x 10^-3) + (1.2 x 10^-3)
4. (7.2 x 10^6) - (3.1 x 10^5)
1. Which of the following is equivalent to 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 meters (the approximate size of a proton)?
1 x 10^-15 m
1 x 10^-18 m
1 x 10^-10 m
1 x 10^-12 m
2. The speed of light is approximately 3 x 10^8 meters per second. How far does light travel in 500 seconds?
1.5 x 10^10 m
1.5 x 10^11 m
1.5 x 10^12 m
1.5 x 10^13 m
The mass of Earth is approximately 5.972 × 10^24 kg. The mass of the Moon is approximately 7.342 × 10^22 kg. How many times larger is the mass of Earth than the mass of the Moon? Express your answer in standard form and scientific notation. Show all your work.
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