Scientific Notation Mastery
This worksheet helps Grade 10 students practice converting numbers to and from scientific notation, performing operations, and solving real-world problems involving very large or very small numbers.
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Scientific Notation Mastery
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Read each question carefully and provide your answers in the spaces provided. Show all your work for full credit.
Write each number in scientific notation.
1. 5,400,000,000
2. 0.0000000000000078
3. 123,450
4. 0.000000006
Write each number in standard form.
1. 3.2 x 10^5
2. 9.01 x 10^-8
3. 7.5 x 10^10
4. 1.004 x 10^-3
Multiply the following numbers. Express your answer in scientific notation.
1. (2.5 x 10^3) * (4 x 10^5)
2. (6.0 x 10^-2) * (3.0 x 10^-4)
Divide the following numbers. Express your answer in scientific notation.
1. (8.0 x 10^7) / (2.0 x 10^3)
2. (9.3 x 10^-5) / (3.0 x 10^-2)
1. Which of the following numbers is the smallest?
1.5 x 10^4
9.8 x 10^3
2.1 x 10^-2
5.0 x 10^-1
Solve the following word problems. Express your answer in scientific notation.
1. The mass of the Earth is approximately 5.97 x 10^24 kilograms, and the mass of the Moon is approximately 7.35 x 10^22 kilograms. How many times larger is the mass of the Earth compared to the Moon?
2. A light-year is the distance light travels in one Earth year, which is about 9.46 x 10^15 meters. If a star is 4.2 light-years away, what is that distance in meters?