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17Calculus Physics - Scientific Notation

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Scientific Notation

Resources

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.

The Organic Chemistry Tutor - Scientific Notation - Fast Review!

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.

The Organic Chemistry Tutor - Scientific Notation - Basic Introduction

The Organic Chemistry Tutor - Scientific Notation - Addition and Subtraction

The Organic Chemistry Tutor - Scientific Notation - Multiplication and Division

Okay, here is another playlist of videos by a different instructor that explains scientific notation and even starts with the basics of exponents.

Michel vanBiezen - Algebra - Ch. 4: Exponents & Scientific Notation [35 videos]

video by Michel vanBiezen

Try the practice problems to make sure everything is clear in your mind.

Deep Work: Rules for Focused Success in a Distracted World

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

Mashup Math - 4387 video 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

Mashup Math - 4388 video 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

Michel vanBiezen - 4380 video 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

Michel vanBiezen - 4381 video 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

Michel vanBiezen - 4382 video 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

Michel vanBiezen - 4383 video 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

Michel vanBiezen - 4384 video 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

Michel vanBiezen - 4385 video solution

video by Michel vanBiezen

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\( \sqrt{60 \times 10^6} \)

Problem Statement

\( \sqrt{60 \times 10^6} \)

Solution

Michel vanBiezen - 4386 video solution

video by Michel vanBiezen

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Practice Search

Practice Instructions

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.

Do NOT follow this link or you will be banned from the site!

When using the material on this site, check with your instructor to see what they require. Their requirements come first, so make sure your notation and work follow their specifications.

DISCLAIMER - 17Calculus owners and contributors are not responsible for how the material, videos, practice problems, exams, links or anything on this site are used or how they affect the grades or projects of any individual or organization. We have worked, to the best of our ability, to ensure accurate and correct information on each page and solutions to practice problems and exams. However, we do not guarantee 100% accuracy. It is each individual's responsibility to verify correctness and to determine what different instructors and organizations expect. How each person chooses to use the material on this site is up to that person as well as the responsibility for how it impacts grades, projects and understanding of calculus, math or any other subject. In short, use this site wisely by questioning and verifying everything. If you see something that is incorrect, contact us right away so that we can correct it.

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