Solving Decimal Arithmetic: $42.425 + 6.526 - 15.31 + 0.098$

This problem involves basic arithmetic operations (addition and subtraction) with decimal numbers. We need to calculate the value of the expression step-by-step.

Step-by-Step Calculation

1. First, add the first two decimal numbers:

   $42.425 + 6.526 = 48.951$

2. Next, subtract the third number from the intermediate result:

   $48.951 - 15.31 = 33.641$

   Note: Ensure decimal points are aligned during subtraction.

3. Finally, add the last decimal number to the current result:

   $33.641 + 0.098 = 33.739$

The final value of the expression $42.425 + 6.526 - 15.31 + 0.098$ is 33.739.