## 17Calculus Physics - Scientific Notation

##### 17Calculus

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 - 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.

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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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.

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