Multiplication and division belong together
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Which division fact belongs with 4 × 9 = 36?
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Answer: 36 ÷ 4 = 9
- The product 36 is the whole.
- Dividing it into 4 equal groups gives 9 in each group.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use inverse operations and related number facts.
Read the official VCAA curriculum description (VC2M5A01)
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- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M5A01-C01Multiplication builds a whole from equal groups. In 6 × 8 = 48, the related divisions are 48 ÷ 6 = 8 and 48 ÷ 8 = 6. The whole starts each division; you cannot swap a division as if it were multiplication.
- VC2M5A01-C02A fact family uses the same three quantities in two multiplication orders and two inverse divisions. A turned array swaps rows and columns while keeping the whole unchanged.
- VC2M5A01-C03Track what changes. Doubling a whole with group size fixed doubles the number of groups. Doubling both whole and group size keeps the group count unchanged. Multiply divisor and quotient to check a claimed division.
- VC2M5A01-C04Constructing representations and explaining inverse relationships.
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- D01Name the whole and its factorsMultiplication builds a whole from equal groups. In 6 × 8 = 48, the related divisions are 48 ÷ 6 = 8 and 48 ÷ 8 = 6. The whole starts each division; you cannot swap a division as if it were multiplication.
- D02Connect all four factsA fact family uses the same three quantities in two multiplication orders and two inverse divisions. A turned array swaps rows and columns while keeping the whole unchanged.
- D03Explain a changed factTrack what changes. Doubling a whole with group size fixed doubles the number of groups. Doubling both whole and group size keeps the group count unchanged. Multiply divisor and quotient to check a claimed division.