Scientific Notation
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In physics, engineering and all the sciences, you need to know about scientific notation and how to use it.   On this page, we include the best videos that we have found to help explain scientific notation.   Additionally, we have several practice problems to give you confidence using scientific notation.
If you already feel comfortable using scientific notation, this first video will be enough.   This first video is also good if you are not sure you understand everything.   It will give you a sense of whether or not you need more review.
video by The Organic Chemistry Tutor |
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Okay, if you feel absolutely confident with scientific notation, go ahead work the practice problems.   However, if you are not completely sure you understood everything in that first video, watch these videos to fill in any gaps in your understanding.
video by The Organic Chemistry Tutor |
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video by The Organic Chemistry Tutor |
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video by The Organic Chemistry Tutor |
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Okay, here is another playlist of videos by a different instructor that explains scientific notation and even starts with the basics of exponents.
video by Michel vanBiezen |
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Try the practice problems to make sure everything is clear in your mind.
Practice
Unless otherwise instructed, simplify the expression giving your answer in scientific notation with the correct significant digits.   Don't forget to use the inequality sign \(\approx\) if your answer is approximate.
Write 7,200,000 in scientific notation.
Problem Statement
Write 7,200,000 in scientific notation.
Solution
video by Mashup Math |
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Write 29,700,000,000 in scientific notation.
Problem Statement
Write 29,700,000,000 in scientific notation.
Solution
video by Mashup Math |
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\( (3 \times 10^4)(5 \times 10^7) \)
Problem Statement
\( (3 \times 10^4)(5 \times 10^7) \)
Solution
video by Michel vanBiezen |
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\( (1.6 \times 10^6)(2.0 \times 10^{12}) \)
Problem Statement
\( (1.6 \times 10^6)(2.0 \times 10^{12}) \)
Solution
video by Michel vanBiezen |
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\( \dfrac{7.5 \times 10^{16}}{1.5 \times 10^8} \)
Problem Statement
\( \dfrac{7.5 \times 10^{16}}{1.5 \times 10^8} \)
Solution
video by Michel vanBiezen |
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\( \dfrac{3 \times 10^5}{2 \times 10^{-7}} \)
Problem Statement
\( \dfrac{3 \times 10^5}{2 \times 10^{-7}} \)
Solution
video by Michel vanBiezen |
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\( \dfrac{(4 \times 10^5)(6 \times 10^9)}{(2 \times 10^{-3})(4 \times 10^5)} \)
Problem Statement
\( \dfrac{(4 \times 10^5)(6 \times 10^9)}{(2 \times 10^{-3})(4 \times 10^5)} \)
Solution
video by Michel vanBiezen |
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\( \dfrac{(8 \times 10^{-4})(7 \times 10^9)}{(14 \times 10^8)(-2 \times 10^{-6})} \)
Problem Statement
\( \dfrac{(8 \times 10^{-4})(7 \times 10^9)}{(14 \times 10^8)(-2 \times 10^{-6})} \)
Solution
video by Michel vanBiezen |
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\( \sqrt{60 \times 10^6} \)
Problem Statement
\( \sqrt{60 \times 10^6} \)
Solution
video by Michel vanBiezen |
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