{
  "id": "math.fractions.fraction-decimal-digit-copy",
  "uri": "https://open-misconceptions.github.io/miscon-data/m/math.fractions.fraction-decimal-digit-copy",
  "uuid": "fb3c3db0-26d5-4aba-a7ea-c9ce84089d88",
  "version": "0.1.1",
  "status": "draft",
  "trust": "low",
  "title": "Writing a fraction as a decimal by copying its digits",
  "statement": "A fraction is written as a decimal by putting its numerator, or its denominator, after the decimal point.",
  "kind": "notation-confusion",
  "domain": "math.fractions",
  "about": [
    {
      "scheme": "CCSS",
      "code": "4.NF.C.6",
      "uri": "http://corestandards.org/Math/Content/4/NF/C/6/"
    }
  ],
  "level_band": [
    "primary",
    "middle"
  ],
  "locale": "en",
  "evidence_patterns": [
    {
      "item_shape": "convert a unit fraction to a decimal",
      "signature": "writes 0.<denominator>",
      "example": {
        "item": "Write 1/4 as a decimal",
        "expected": "0.25",
        "response": "0.4"
      }
    },
    {
      "item_shape": "convert a decimal to a fraction",
      "signature": "writes the digits after the point as the numerator over the denominator that matches their count in the 'other direction', or over 1",
      "example": {
        "item": "Write 0.2 as a fraction",
        "expected": "2/10 (= 1/5)",
        "response": "1/2"
      }
    }
  ],
  "discriminators": {
    "vs_slip": "Consistent across fractions, and the learner cannot say whether 0.4 and 1/4 are the same size. A slip is one wrong conversion with correct ones nearby."
  },
  "relations": {
    "conflicts_with": [
      {
        "external": "http://corestandards.org/Math/Content/4/NF/C/6/",
        "label": "CCSS 4.NF.C.6: use decimal notation for fractions with denominators 10 or 100"
      }
    ],
    "resolved_by": [
      {
        "external": "http://corestandards.org/Math/Content/4/NF/C/6/",
        "label": "CCSS 4.NF.C.6: use decimal notation for fractions with denominators 10 or 100"
      }
    ]
  },
  "alignments": [
    {
      "scheme": "CCSS",
      "code": "4.NF.C.6",
      "uri": "http://corestandards.org/Math/Content/4/NF/C/6/",
      "relation": "about"
    }
  ],
  "provenance": {
    "sources": [
      {
        "type": "book",
        "citation": "Kerslake, D. (1986). Fractions: Children's Strategies and Errors. NFER-Nelson."
      },
      {
        "type": "paper",
        "citation": "Markovits, Z., & Sowder, J. T. (1991). Students' understanding of the relationship between fractions and decimals. Focus on Learning Problems in Mathematics, 13(1), 3-11."
      },
      {
        "type": "book",
        "citation": "Hart, K. M. (Ed.). (1981). Children's Understanding of Mathematics: 11-16. John Murray. (Concepts in Secondary Mathematics and Science project.)"
      }
    ],
    "origin": "llm-drafted",
    "notes": "Drafted from the cited literature for the Open Misconceptions seed pack; statement, examples and discriminators are original text. Awaiting maintainer review."
  },
  "history": {
    "changelog": [
      {
        "version": "0.1.1",
        "date": "2026-09-05",
        "change": "Schema 0.2 migration: about/alignments carry a free-string scheme (corestandards.org URLs relabelled CCSS where present); trust computed from reviews[] (none yet, so low); no change to the statement or evidence."
      }
    ]
  },
  "license": "CC-BY-4.0"
}
