Question

Calculate the error, relative error, and number of significant digits in the following approximations?

Answer 1

To calculate the error, relative error, and number of significant digits in the given approximations, we need the true values of the quantities being approximated. Without that information, we cannot determine the absolute error or the relative error. However, we can determine the number of significant digits by looking at the smallest significant figure among the approximations.

Step-by-step explanation:

To calculate the error, relative error, and number of significant digits, we need to compare the given approximations to their true values. Since the true values are not provided, we cannot calculate the absolute error. However, we can calculate the relative error by dividing the absolute error by the true value. The number of significant digits is determined by the smallest significant figure among the approximations.

1. Approximation: 0.424
   Error: Not enough information to calculate.
   Relative Error: Not enough information to calculate.
   Significant Digits: 2
2. Approximation: 0.0038661
   Error: Not enough information to calculate.
   Relative Error: Not enough information to calculate.
   Significant Digits: 3
3. Approximation: 421.25
   Error: Not enough information to calculate.
   Relative Error: Not enough information to calculate.
   Significant Digits: 4
4. Approximation: 28,683.5
   Error: Not enough information to calculate.
   Relative Error: Not enough information to calculate.
   Significant Digits: 5