Question

In some situations, loss of significance errors can be avoided by rearranging the function being evaluated as was done with f(x).

Answer 1

Loss of significance errors can be avoided by rearranging the function being evaluated.

Step-by-step explanation:

Loss of significance errors can occur when performing calculations that involve subtracting two nearly equal numbers. This is because the precision of the result may be lost due to limited significant digits. One way to avoid such errors is by rearranging the function being evaluated. By manipulating the expression algebraically, we can simplify it and potentially eliminate the need for subtraction of nearly equal values. This helps in preserving the precision of the calculations and reducing the chances of loss of significance errors.