This page focuses on the application of significant figures in mathematical operations, specifically addressing addition, subtraction, multiplication, and division rules.

Definition: In addition and subtraction, the answer cannot be more precise than the least precise measurement used in the calculation.

Example: When adding 4.1 + 3.75 = 7.85, the answer must be rounded to 7.9 because 4.1 is only precise to the tenths place.

Highlight: For multiplication and division, the answer must have the same number of significant figures as the term with the fewest significant figures.

The page provides detailed examples demonstrating how to apply these rules in various calculations, ensuring proper precision in scientific measurements.

This page presents a clever visualization technique called the "Pacific-Atlantic" method for counting significant figures and includes extensive practice problems for both types of operations.

Highlight: The Pacific-Atlantic method provides a systematic approach to counting significant figures by visualizing the number line from different "sides" depending on the presence of a decimal point.

Example: In the problem $54.57 + 73$/5.75 = 22.2, the solution demonstrates proper application of significant figure rules in complex calculations.

The page includes multiple practice problems covering:

• Addition and subtraction with significant figures
• Multiplication and division with significant figures
• Combined operations involving scientific notation

Vocabulary: Scientific notation combined with significant figures requires careful attention to both the number of significant digits and the power of 10.

This page introduces the fundamental concepts of scientific notation and significant figures in scientific measurements. The content explains how to express numbers in scientific notation and establishes the basic rules for determining significant figures.

Definition: Scientific notation is expressed as M × 10ᴺ where M is a number between 1 and 10, and N is any integer.

Example: The number 58000 can be written as 5.8 × 10⁴ in scientific notation.

Highlight: All non-zero numbers are always considered significant figures.

The page outlines four essential rules for identifying significant figures:

1. All non-zero numbers are significant
2. Zeros between non-zero numbers are significant
3. Leading zeros before a number are not significant
4. Trailing zeros after a decimal point are significant

Vocabulary: Leading zeros are zeros that appear before the first non-zero digit in a number.