what is the relative error of a distance given as 550cm plus or minus 24.2cm?

(24.2/550)100 = 4.4 %

thks

To calculate the relative error of a distance that is given as a measurement with uncertainty, you need to determine the ratio of the uncertainty to the actual value.

In this case, the distance is given as 550 cm plus or minus 24.2 cm. The actual value of the distance in this case is 550 cm.

To calculate the relative error, divide the uncertainty by the actual value of the distance and multiply by 100 to express it as a percentage.

Relative Error = (Uncertainty / Actual Value) * 100

Relative Error = (24.2 cm / 550 cm) * 100

Simplifying the expression:

Relative Error = 0.044

Therefore, the relative error of the distance given as 550 cm plus or minus 24.2 cm is approximately 0.044 or 4.4%.