11.1.5.1 - For Addition and Subtraction

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the total uncertainty of A = 10.00 Β± 0.02 g and B = 5.00 Β± 0.01 g when added.

πŸ’‘ Hint: Add the absolute uncertainties.

Question 2

Easy

If two distances are measured as 30.0 Β± 0.1 m and 50.0 Β± 0.2 m, what is the total distance?

πŸ’‘ Hint: Keep in mind to add the uncertainties.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

When adding two measurements, how is total uncertainty determined?

  • Their percentage uncertainties are added
  • Their absolute uncertainties are added
  • Their relative uncertainties are multiplied

πŸ’‘ Hint: Think about how the uncertainties relate to the measurements.

Question 2

True or False: Systematic errors can vary in magnitude for repeated measurements.

  • True
  • False

πŸ’‘ Hint: Consider how errors influence measurement reliability.

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Challenge Problems

Push your limits with challenges.

Question 1

A balance shows a weight of 75.0 Β± 0.5 g, and you want to mix it with a substance weighing 50.0 Β± 0.3 g. After mixing, calculate the total mass and its uncertainty.

πŸ’‘ Hint: Look closely at how you add weights.

Question 2

You measure a creature at 20.0 Β± 0.2 cm and another at 15.0 Β± 0.1 cm. Calculate the effective combined length when they are placed end to end.

πŸ’‘ Hint: Concentrate on the addition of both lengths and uncertainties.

Challenge and get performance evaluation