Table of contents

1. Matter and Measurements4h 31m
2. Atoms and the Periodic Table5h 23m
3. Ionic Compounds2h 18m
4. Molecular Compounds2h 18m
5. Classification & Balancing of Chemical Reactions3h 17m
6. Chemical Reactions & Quantities2h 27m
7. Energy, Rate and Equilibrium3h 46m
8. Gases, Liquids and Solids3h 25m
9. Solutions4h 10m
10. Acids and Bases3h 29m
11. Nuclear Chemistry56m
BONUS: Lab Techniques and Procedures1h 38m
BONUS: Mathematical Operations and Functions47m
12. Introduction to Organic Chemistry1h 34m
13. Alkenes, Alkynes, and Aromatic Compounds2h 12m
14. Compounds with Oxygen or Sulfur1h 6m
15. Aldehydes and Ketones1h 1m
16. Carboxylic Acids and Their Derivatives1h 11m
17. Amines39m
18. Amino Acids and Proteins1h 51m
19. Enzymes1h 37m
20. Carbohydrates1h 41m
21. The Generation of Biochemical Energy2h 8m
22. Carbohydrate Metabolism2h 22m
23. Lipids2h 26m
24. Lipid Metabolism1h 45m
25. Protein and Amino Acid Metabolism1h 37m
26. Nucleic Acids and Protein Synthesis2h 54m

1. Matter and Measurements

Scientific Notation

GOB Chemistry

1. Matter and Measurements

Scientific Notation

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1:35 minutes

Problem 30c

Textbook Question

Write each of the following in scientific notation:
c. 0.000 62

Verified step by step guidance

Identify the significant digits in the number 0.00062. These are the non-zero digits, which in this case are '6' and '2'.

Determine the position of the decimal point in the original number. The decimal point is located after the leading zeros and before the significant digits.

Count how many places the decimal point needs to move to the right to position it immediately after the first significant digit (6). In this case, the decimal point moves 4 places to the right.

Express the number in the form \( a \times 10^n \), where \( a \) is the significant digits written as a decimal (6.2), and \( n \) is the number of places the decimal point moved (negative because the original number is less than 1).

Write the final expression in scientific notation as \( 6.2 \times 10^{-4} \).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, the number 0.00062 can be expressed as 6.2 x 10^-4, where 6.2 is the coefficient and -4 indicates the decimal point has moved four places to the right.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. When converting to scientific notation, it is important to maintain the correct number of significant figures to accurately represent the original value, ensuring clarity and precision in scientific communication.

Decimal Movement

Decimal movement refers to the process of shifting the decimal point in a number to convert it into scientific notation. This movement determines the exponent of ten; moving the decimal to the right results in a negative exponent, while moving it to the left results in a positive exponent. Understanding how to correctly move the decimal is crucial for accurately expressing numbers in scientific notation.

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Write each of the following in scientific notation:c. 0.000 62

Key Concepts

Scientific Notation

Significant Figures

Decimal Movement

Watch next

Write each of the following in scientific notation:
c. 0.000 62