Understanding Uncertainty Propagation

What is the basic rule for propagating uncertainty when adding or subtracting numbers?

• Multiply the uncertainties

• Add the absolute uncertainties

• Subtract the uncertainties

• Divide the uncertainties

In an addition problem, if the uncertainties are given as percentages, what must you do before solving?

• Convert them to fractional uncertainties

• Convert them to absolute uncertainties

• Add them directly

• Ignore the uncertainties

How do you convert a percent uncertainty to an absolute uncertainty?

• Add the percentage to the original number

• Multiply the percentage as a decimal by the original number

• Divide the percentage by the original number

• Subtract the percentage from the original number

When dealing with mixed uncertainties in addition, what is the first step?

• Add the numbers directly

• Convert all uncertainties to absolute

• Ignore the uncertainties

• Convert all uncertainties to percent

What common mistake do students make when subtracting numbers with uncertainties?

• Subtracting the absolute uncertainties

• Adding the numbers instead of subtracting

• Multiplying the uncertainties

• Ignoring the uncertainties

In subtraction problems, how should you handle absolute uncertainties?

• Subtract them

• Add them

• Ignore them

• Multiply them

How do you convert fractional uncertainties to absolute uncertainties?

• Add the fraction to the original number

• Multiply the fraction by the original number

• Subtract the fraction from the original number

• Divide the fraction by the original number

What should you do if you have a number with an absolute uncertainty and another with a percent uncertainty in a subtraction problem?

• Ignore the percent uncertainty

• Convert the absolute uncertainty to percent

• Convert the percent uncertainty to absolute

• Add the uncertainties directly

When solving subtraction problems with mixed uncertainties, what is the final step?

• Subtract the numbers and add the absolute uncertainties

• Multiply the numbers and uncertainties

• Add the numbers and subtract the uncertainties

• Ignore the uncertainties

What is the key takeaway for propagating uncertainty in both addition and subtraction?

• Always subtract the uncertainties

• Always add the absolute uncertainties

• Convert all uncertainties to fractional

• Ignore the uncertainties if they are small