Questions: - Significant figures - Scientific notation - The metric system - Density calculations

- Significant figures
- Scientific notation
- The metric system
- Density calculations
Transcript text: - Significant figures - Scientific notation - The metric system - Density calculations
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Solution

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Solution Steps

Step 1: Summarize Significant Figures
  • Significant figures convey the reliability and accuracy of a measurement or calculation.
  • They include all the non-zero digits, any zeros between significant digits, and any trailing zeros in the decimal portion.
  • Leading zeros are not considered significant.
  • The number of significant figures is used to determine the precision of the measurement.
Step 2: Summarize Scientific Notation
  • Scientific notation is a way to express very large or very small numbers.
  • It is written as the product of a number between 1 and 10 and a power of 10.
  • This notation helps in simplifying calculations and expressing measurements concisely.
  • It is commonly used in scientific and engineering fields to handle extreme values.
Step 3: Summarize The Metric System
  • The metric system is an international system of measurement based on powers of ten.
  • It includes units such as meters for length, kilograms for mass, and liters for volume.
  • Prefixes like kilo-, centi-, and milli- are used to denote multiples or fractions of the base units.
  • The metric system is widely used in science, industry, and everyday life for its simplicity and consistency.

Final Answer

  1. Significant Figures: Convey measurement accuracy, include specific digits, exclude leading zeros, determine precision.
  2. Scientific Notation: Expresses large/small numbers, uses powers of ten, simplifies calculations, used in science/engineering.
  3. The Metric System: International measurement system, uses base units and prefixes, based on powers of ten, widely adopted.
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