Practice - Multiplication or Division
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Practice Questions
Test your understanding with targeted questions
If you have a measured value of 10.0 ± 0.5 and you multiply it by 2.0 ± 0.1, what is the relative uncertainty?
💡 Hint: Remember to square both relative uncertainties and then sum their values.
What is absolute uncertainty if you multiply 3.0 ± 0.2 by 4.0 ± 0.1?
💡 Hint: First, calculate the product, then apply the propagation formula.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens to the absolute uncertainty when multiplying two values?
💡 Hint: Think about how errors in measurements combine.
True or False: Relative uncertainties are added directly when dividing measured quantities.
💡 Hint: Remember the rules for handling uncertainties.
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Challenge Problems
Push your limits with advanced challenges
A researcher measures two lengths: 20.0 ± 0.5 cm and 5.0 ± 0.2 cm. Determine the area and its uncertainty.
💡 Hint: Don’t forget to square the errors separately before adding.
A liquid's density is calculated based on its mass (56.0 ± 0.3 g) over volume (20.0 ± 0.1 mL). Calculate the density and its uncertainty.
💡 Hint: Apply the relative uncertainty principle here for completeness.
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Reference links
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