This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The percentage error is 4%. Steps: 1. Identify the correct approximation: Rounding 1.2476 to two decimal places gives 1.25. (Since the third decimal place is 7, we round up the second decimal place). 2. Identify the incorrect approximation: 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). 3. Calculate the absolute error: Absolute Error = |Incorrect Approximation - Correct Approximation| Absolute Error = |1.2 - 1.25| = |-0.05| = 0.05 4. Calculate the percentage error: Percentage Error = (Absolute Error / Correct Approximation) * 100% Percentage Error = (0.05 / 1.25) * 100% Percentage Error = 0.04 * 100% Percentage Error = 4%