Mathematical Operations and Functions

Scientific Notation

Scientific notation is a mathematical method commonly used in chemistry to express very large or very small numbers in a concise and standardized format. This is especially useful in scientific fields such as chemistry and physics, where measurements can span many orders of magnitude.

• Scientific Notation: Used to convert small or large, inconvenient numbers into manageable forms for calculation and comparison.

• General Format: Coefficient × BaseExponent

• Coefficient: The decimal number that is at least 1 but less than 10.

• Base: The base is always 10 in scientific notation.

• Exponent: Indicates the number of places the decimal point was moved to convert the original number into the coefficient.

Example:

Identifying Correct Scientific Notation

To determine if a number is written correctly in scientific notation, check the following:

• The coefficient is at least 1 but less than 10.

• The base is always 10.

• The exponent accurately reflects the number of decimal places moved.

Example: is correct, but is not, because the coefficient must be between 1 and 10.

Applications in Chemistry

• Expressing Avogadro's number:

• Reporting atomic masses: g

• Describing concentrations and reaction rates

Additional info: Scientific notation is foundational for measurement and calculation in chemistry, and is typically introduced in Chapter 1: Matter & Measurement.