Significant figures multiplication and division worksheet answers are an essential tool for understanding the concept of significant figures in mathematical operations. This guide provides a comprehensive overview of significant figures in multiplication and division, along with practice problems and real-world applications.
In this guide, we will explore the concept of significant figures, discuss the rules for determining the number of significant figures in products and quotients, and provide a worksheet with practice problems and answer key. We will also explore real-world applications of significant figures in multiplication and division, and share links to additional resources for further exploration.
Significant Figures in Multiplication and Division: Significant Figures Multiplication And Division Worksheet Answers
Significant figures are the digits in a number that are known with certainty, plus one uncertain digit. When multiplying or dividing numbers with significant figures, it is important to follow certain rules to ensure that the result has the correct number of significant figures.
Significant Figures in Multiplication
When multiplying numbers with significant figures, the number of significant figures in the product is equal to the least number of significant figures in the factors.
- Example: 2.34 x 1.2 = 2.808, rounded to 2.81 (3 significant figures)
- Example: 0.0032 x 45.6 = 0.146 (2 significant figures)
Significant Figures in Division
When dividing numbers with significant figures, the number of significant figures in the quotient is equal to the least number of significant figures in the numerator and denominator.
- Example: 12.3 / 4.5 = 2.7333…, rounded to 2.73 (3 significant figures)
- Example: 0.0025 / 0.0003 = 8.3333…, rounded to 8.33 (3 significant figures)
Worksheet Answers
Worksheet:
- Multiply: 2.34 x 1.2
- Multiply: 0.0032 x 45.6
- Divide: 12.3 / 4.5
- Divide: 0.0025 / 0.0003
Answer Key:
- 2.81
- 0.146
- 2.73
- 8.33
Real-World Applications
Significant figures are used in a variety of real-world applications, including:
- Science: Measuring and calculating quantities in experiments
- Engineering: Designing and building structures
- Medicine: Determining dosages of medications
Additional Resources, Significant figures multiplication and division worksheet answers
FAQ Resource
What is the concept of significant figures?
Significant figures are the digits in a number that are known with certainty, plus one estimated digit. They are used to indicate the precision of a measurement.
How do you determine the number of significant figures in a product?
The number of significant figures in a product is determined by the number of significant figures in the factor with the fewest significant figures.
What are the rules for determining the number of significant figures in a quotient?
The number of significant figures in a quotient is determined by the number of significant figures in the dividend.
