Show the math
By the end of this lesson
- Expose inputs and intermediate calculations
- Separate exact values from display rounding
- Save calculation provenance with a batch
Examples use a decimal point; a comma groups thousands.
See it
A trustworthy calculator exposes inputs, units, conversion factors, intermediate results, final values, and rounding. The goal is that a learner can reproduce a simple result independently and identify where a value came from.
Understand it
Expose inputs and intermediate calculations
Display formulas beside results.
A result is reviewable when its derivation and unit conversions are visible.
Separate exact values from display rounding
Keep exact calculation value separate from display rounding.
Display convenience should not silently change the underlying calculation or its stored meaning.
Save calculation provenance with a batch
Record the version of the calculation logic when results become part of a batch record.
The base is 12 × 35 = 420 mL; applying 5% overage gives 420 × 1.05 = 441 mL.
Worked example
A run uses 12 vessels at 35 mL and 5% overage: 12 × 35 = 420 mL; 420 × 1.05 = 441 mL. Save those inputs, the rule and the calculation version with the batch so a later display or recalculation does not rewrite its history.
Explain your decision before opening the worked reasoning below.
Show the worked reasoning
A saved batch needs reproducible calculation provenance, not a result that changes with later global recalculation.
Intermediate values help locate mistakes and separate the underlying volume need from the selected planning allowance.
Do not ask users to trust a number they cannot inspect.
Try it
What planned volume follows the worked example?
Use the worked example above to explain your answer in your own words before taking the quiz.
Lesson quiz
Assessment version: 2026-10-15-v2. Previous reading-completion markers are retained. This revised quiz has its own result.
Apply it
Use the worked example to write a short decision record: what did you observe, which rule did you apply, and what would you check before acting?
Completion marks reading progress, not a quiz pass or professional certification.