A student approximated 1.2476 to two significant figures instead of two decimal place. find the percentage error

Rounding 1.2476 to two decimal places gives 1.25. (Since the third decimal place is 7, we round up the second decimal place).

Rounding 1.2476 to two significant figures gives 1.2. (The first two significant figures are 1 and 2. The third digit, 4, is less than 5, so we don't round up the second significant figure).

Absolute Error = |Incorrect Approximation - Correct Approximation|
Absolute Error = |1.2 - 1.25| = |-0.05| = 0.05

Percentage Error = (Absolute Error / Correct Approximation) * 100%
Percentage Error = (0.05 / 1.25) * 100%
Percentage Error = 0.04 * 100%
Percentage Error = 4%