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 30a

Textbook Question

Write each of the following in scientific notation:
a. 0.024

Verified step by step guidance

Identify the decimal number that needs to be converted into scientific notation. In this case, the number is 0.024.

Determine the position of the decimal point and count how many places it needs to move to create a number between 1 and 10. For 0.024, the decimal point needs to move 2 places to the right.

Rewrite the number as a product of the adjusted number and a power of 10. After moving the decimal point, the adjusted number becomes 2.4. The power of 10 corresponds to the number of places the decimal point was moved, which is -2 (since the original number is less than 1).

Express the number in scientific notation using the format \( a \times 10^b \), where \( a \) is the adjusted number and \( b \) is the exponent. For this problem, the scientific notation is \( 2.4 \times 10^{-2} \).

Double-check your work to ensure the adjusted number is between 1 and 10 and the exponent correctly reflects the movement of the decimal point.

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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 0.024 can be expressed as 2.4 x 10^-2, where 2.4 is the coefficient and -2 indicates the decimal shift.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. In scientific notation, the significant figures are represented in the coefficient. For instance, in the number 2.4 x 10^-2, both digits '2' and '4' are significant, indicating the precision of the measurement.

Exponent Rules

Exponent rules govern how to manipulate powers of ten in scientific notation. When multiplying or dividing numbers in scientific notation, you add or subtract the exponents, respectively. Understanding these rules is essential for correctly converting and calculating numbers in scientific notation.

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Write each of the following in scientific notation:a. 0.024

Key Concepts

Scientific Notation

Significant Figures

Exponent Rules

Watch next

Write each of the following in scientific notation:
a. 0.024