53.62 x 10-3 O 5.362 x 10-4 O 5.362 x 104 53.62 x 103

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Exercise: Expressing Numbers in Scientific Notation**

**Question:**  
Express 53,620 in correct scientific notation form.

**Options:**
- ( ) \(53.62 \times 10^{-3}\)
- ( ) \(5.362 \times 10^{-4}\)
- ( ) \(5.362 \times 10^4\)
- ( ) \(53.62 \times 10^3\)

**Explanation:**
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. A number is written in scientific notation if it has the form \(a \times 10^n\), where \(1 \leq |a| < 10\) and \(n\) is an integer.

In the options given above:
- Option \(53.62 \times 10^{-3}\) represents the number \(0.05362\), which is incorrect.
- Option \(5.362 \times 10^{-4}\) represents the number \(0.0005362\), which is incorrect as well.
- Option \(5.362 \times 10^4\) correctly represents the number \(53,620\).
- Option \(53.62 \times 10^3\) represents the number \(53,620 \times 10^3 = 53,620,000\), which is incorrect.

Thus, the correct answer is:  
**\(5.362 \times 10^4\)**
Transcribed Image Text:**Exercise: Expressing Numbers in Scientific Notation** **Question:** Express 53,620 in correct scientific notation form. **Options:** - ( ) \(53.62 \times 10^{-3}\) - ( ) \(5.362 \times 10^{-4}\) - ( ) \(5.362 \times 10^4\) - ( ) \(53.62 \times 10^3\) **Explanation:** Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. A number is written in scientific notation if it has the form \(a \times 10^n\), where \(1 \leq |a| < 10\) and \(n\) is an integer. In the options given above: - Option \(53.62 \times 10^{-3}\) represents the number \(0.05362\), which is incorrect. - Option \(5.362 \times 10^{-4}\) represents the number \(0.0005362\), which is incorrect as well. - Option \(5.362 \times 10^4\) correctly represents the number \(53,620\). - Option \(53.62 \times 10^3\) represents the number \(53,620 \times 10^3 = 53,620,000\), which is incorrect. Thus, the correct answer is: **\(5.362 \times 10^4\)**
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