A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is th

A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?

A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?

Step 1: Identify the original measurement and its uncertainty. The measurement is 25.0 units and the uncertainty is 0.5 units.
Step 2: Determine the factor by which the measurement is multiplied. In this case, the factor is 3.
Step 3: Calculate the total uncertainty by multiplying the original uncertainty (0.5 units) by the factor (3).
Step 4: Perform the multiplication: 3 * 0.5 = 1.5 units.
Step 5: Conclude that the total uncertainty when the quantity is multiplied by 3 is 1.5 units.

Propagation of Uncertainty – Understanding how uncertainties change when physical quantities are multiplied or divided.
Absolute vs Relative Uncertainty – Differentiating between absolute uncertainty and how it scales with multiplication.