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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1:34 minutes

Problem 56d

Textbook Question

Write each of the following in scientific notation:
d. 9 100 000

Verified step by step guidance

Identify the given number: 9,100,000. The goal is to express this number in scientific notation, which is in the form

a × 10

ⁿ, where

1 ≤ a < 10

and

n

is an integer.

Locate the decimal point in the number. If the decimal point is not visible, it is understood to be at the end of the number: 9,100,000. becomes 9,100,000.0.

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal point. In this case, move the decimal point 6 places to the left, resulting in 9.1.

Count the number of places the decimal point was moved. Since the decimal point was moved 6 places to the left, the exponent

n

will be positive 6.

Combine the coefficient (9.1) and the power of 10 (

10

⁶) to write the number in scientific notation:

9.1 × 10

⁶.

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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 9,100,000 can be expressed as 9.1 x 10^6, where 9.1 is the coefficient and 6 is the exponent indicating the number of places the decimal point has moved.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. In scientific notation, only the digits in the coefficient are considered significant. For instance, in the number 9.1 x 10^6, the digits '9' and '1' are significant, while the zeros in the exponent do not affect the precision of the coefficient.

Exponent Rules

Exponent rules govern how to manipulate numbers expressed in exponential form. When converting to scientific notation, the exponent indicates how many times the base (10) is multiplied by itself. Understanding these rules is essential for correctly interpreting and performing calculations with numbers in scientific notation, such as adjusting the exponent when moving the decimal point.