"ArithmeticResult" (Comparison Method)

Compare mathematical expressions in a way suitable for exercises about arithmetic, allowing rearrangement but not arithmetic computation.

Details

  • The arithmetic comparison method considers two mathematical expressions to be equivalent if they match without doing any arithmetic operations, e.g. 1 + 1 2.
  • Answers are considered correct when the only differences are ordering of terms inside orderless operations like addition and multiplication.
  • The values of the key and answer can both be specified as held expressions Hold[expr] to prevent evaluation. Even when the values are held, reordering transformations are performed to determine equivalence during assessment. It is recommended to always hold the answer.

范例

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基本范例  (1)

Create an AssessmentFunction for an arithmetic question:

Non-computed addition is considered inequivalent and incorrect:

Reordered terms are considered equivalent and correct:

Scope  (2)

Create a simple addition question without holding the answer key:

The original question is not accepted as an answer:

The computed result is correct:

Create a radical simplification question: