Exploring Scientific Notation
Understand and apply scientific notation to express very large or very small numbers in science.
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Exploring Scientific Notation
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Read each question carefully and answer to the best of your ability. Show your work for calculations.
1. What is the primary purpose of using scientific notation in science?
2. Explain the two main parts of a number written in scientific notation.
Rewrite the following numbers in scientific notation:
3. 65,000,000,000 =
4. 0.0000000045 =
5. The speed of light is approximately 300,000,000 meters per second. In scientific notation, this is m/s.
6. Which of the following numbers is written correctly in scientific notation?
12.5 x 10^4
0.78 x 10^-3
3.2 x 10^6
50 x 10^2
7. The mass of a dust particle is 0.000000000753 kg. Which of the following represents this mass in scientific notation?
7.53 x 10^10 kg
7.53 x 10^-10 kg
75.3 x 10^-11 kg
0.753 x 10^-9 kg
Convert the following numbers from scientific notation to standard form:
8. 1.8 x 10^5 =
9. 9.1 x 10^-7 =
10. The diameter of a human hair is approximately 8.0 x 10^-5 meters. In standard form, this is meters.
11. A typical bacterium viewed under a microscope has a length of 2 x 10^-6 meters. Write this length in standard decimal form.
12. When converting a large number (greater than 10) to scientific notation, the exponent of 10 will be positive.
True
False
13. A number like 45.6 x 10^3 is correctly written in scientific notation.
True
False