Explain the steps used to determine if Andrea's sum is reasonable.

1 answer

To determine if Andrea's sum is reasonable, you can follow these steps:

  1. Identify the Sum: First, clarify what sum Andrea has calculated. Write down the numbers involved in the calculation.

  2. Use Estimation: Round the numbers to the nearest ten, hundred, or another convenient unit, depending on the scale of the numbers involved. This helps simplify the calculations and gives a rough estimate of what the sum should be.

  3. Calculate the Estimated Sum: Add the rounded numbers together to determine an estimated sum. This should provide a quick reference point for gauging the reasonableness of Andrea's actual sum.

  4. Compare the Actual and Estimated Sums: Look at Andrea’s original sum and compare it to your estimated sum. If Andrea’s sum is close to the estimated sum, it is likely reasonable. If there is a significant difference, then it may indicate an error.

  5. Check for Common Errors: Review the calculation for any potential errors:

    • Did Andrea miscalculate any individual numbers?
    • Were there any mistakes in basic arithmetic operations (addition, subtraction, etc.)?
    • Were all the necessary numbers included in the calculation?
  6. Contextual Consideration: Consider the context of the numbers. Does the sum make sense based on the scenario being analyzed? For example, if Andrea is adding costs, does the total align with typical values for such items?

  7. Recalculate if Necessary: If there are substantial doubts about the reasonableness, have Andrea recalculate the sum step by step to ensure accuracy.

  8. Final Evaluation: Based on the previous steps, form a final judgment on whether Andrea’s sum is reasonable. If it checks out through estimation, individual checks, and context, then you can conclude it is reasonable.

By following these logical steps, you can assess whether Andrea's sum makes sense.