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

Previous problemNext problem

1:35 minutes

Problem 55c

Textbook Question

Write each of the following in scientific notation:
c. 0.37

Verified step by step guidance

Identify the given number: 0.37. Scientific notation expresses numbers as a product of a coefficient (between 1 and 10) and a power of 10.

Move the decimal point in the number 0.37 to the right until the coefficient is between 1 and 10. In this case, moving the decimal point one place to the right gives 3.7.

Count the number of places the decimal point was moved. Since the decimal point was moved one place to the right, the exponent for the power of 10 will be -1 (negative because the original number is less than 1).

Combine the coefficient and the power of 10 to write the number in scientific notation. The format is:

{3.7}^{-1}

Verify the result by converting the scientific notation back to standard form to ensure it matches the original number, 0.37.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

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 0.37 can be expressed as 3.7 x 10^-1, where 3.7 is the coefficient and -1 indicates the decimal place shift.

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.

Decimal to Scientific Conversion

Converting a decimal to scientific notation involves identifying the first non-zero digit and determining how many places the decimal point must move to place it immediately after this digit. This movement dictates the exponent of ten. For instance, moving the decimal in 0.37 one place to the right gives us 3.7, resulting in the scientific notation 3.7 x 10^-1.

Watch next

Master Scientific Notation with a bite sized video explanation from Jules

Start learning

Write each of the following in scientific notation:c. 0.37

Key Concepts

Scientific Notation

Significant Figures

Decimal to Scientific Conversion

Watch next

Write each of the following in scientific notation:
c. 0.37