Page 2: Operations and Measurement Concepts

This page covers mathematical operations using scientific notation and introduces measurement precision concepts.

Definition: Operations with scientific notation follow specific rules:

• Addition/subtraction: Common exponents needed first
• Multiplication/division: Handle factors independently

Example: (3.0 × 10³) + (2.2 × 10⁴) = 2.5 × 10⁴

Vocabulary:

• Accuracy: Consistency in obtaining same results repeatedly
• Precision: Closeness of results to actual value

Definition: Significant figures are digits in measurements that are known with certainty plus one estimated value.

Page 3: Significant Figures Rules

This page details the rules for determining significant figures in numerical measurements.

Highlight: Key rules for significant figures:

1. All non-zero digits are significant
2. Zeros between significant digits are significant
3. Zeros at the end after decimal points are significant
4. Placeholder zeros are not significant

Example: In 0.000180, the 1, 8, and 0 are significant while leading zeros are placeholders

Definition: Placeholder zeros are those that appear at the beginning of a number or at the end before a decimal point.

Page 1: Scientific Notation Fundamentals

This page introduces the core concepts of expressing numbers in scientific notation. The method involves breaking numbers into two specific factors while maintaining their value.

Definition: Scientific notation expresses a number using two factors - first factor between 1 and 10, second factor as a power of 10.

Example: 1.70000 = 1.7 × 10⁵

The page provides several scientific notation examples with answers:

• 9.8485 remains as is (already in correct form)
• 100,480 = 1.00480 × 10⁵
• 0.00125 = 1.25 × 10⁻²
• 0.00018 = 1.8 × 10⁻⁴

Highlight: When converting to scientific notation, move the decimal point left or right and adjust the exponent accordingly.