11.1.5.2 - For Multiplication and Division

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the percentage uncertainty for a mass of 50.0 g measured with an uncertainty of Β± 0.5 g.

πŸ’‘ Hint: Divide the uncertainty by the measured value and multiply by 100.

Question 2

Easy

If the length of an object is measured as 20.0 cm with an uncertainty of 0.1 cm, what is the percentage uncertainty?

πŸ’‘ Hint: Apply the same formula as above.

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Interactive Quizzes

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

Question 1

What do you do with the percentage uncertainties when multiplying or dividing two values?

  • Multiply them
  • Add them
  • Subtract them

πŸ’‘ Hint: Remember the rule of uncertainty propagation.

Question 2

True or False: Absolute uncertainty is always more informative than percentage uncertainty.

  • True
  • False

πŸ’‘ Hint: Consider what each value represents.

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Challenge Problems

Push your limits with challenges.

Question 1

A student measures a mass of a chemical as 12.5 g with a Β± 0.2 g uncertainty and a volumetric reading of 4.00 mL with a Β± 0.01 mL uncertainty. How do they report the density of the chemical with its uncertainty?

πŸ’‘ Hint: Remember to convert the uncertainty into absolute values for final reporting.

Question 2

If the concentration of a solution is measured at 0.0500 M with a 0.0010 M uncertainty, and it's diluted by transferring to 200 mL while maintaining that uncertainty. What is the final concentration and its uncertainty?

πŸ’‘ Hint: Consider dilution effects on concentration and how the uncertainties apply directly.

Challenge and get performance evaluation