Random Significant Figure Rounding Quiz Generator

Description

Construct decimal spellings and delegate binary64 significant-digit rounding, retaining original trailing zeros and the core's significant text convention.

A generated practice exercise contains a prompt and an answer key under a specific rule set. A planted answer establishes one possible solution; only an explicit enumeration or uniqueness check establishes whether alternatives exist.

Construct decimal spellings and delegate binary64 significant-digit rounding, retaining original trailing zeros and the core's significant text convention.

When to use this tool

Use this generator to create reproducible significant figure rounding quiz cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.

How to use the tool and how it works

Supply integerDigits, fractionalDigits, significantDigits, count in the field shapes below. Set seed when you need an explicit replay.
Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
Read cards, convention. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.

Draw a nonzero-leading decimal spelling with the requested integer and fractional digits, preserving trailing fractional zeros. Convert it to a number and delegate significant-figure rounding, returning both rounded numeric value and significant-text spelling.^[1]

Delegated operations used for this result: round significant figures. Their calculation or parsing conventions apply to the corresponding result fields.^[2]

Input field	Meaning and units	Accepted input
integerDigits	Integer Digits	Required. Safe integer; minimum 1; maximum 12.
fractionalDigits	Fractional Digits	Required. Safe integer; minimum 0; maximum 11.
significantDigits	Significant Digits	Required. Safe integer; minimum 1; maximum 15.
count	Requested count; the mechanics explain whether one draw expands into several returned records.	Required. Safe integer; minimum 1; maximum 16.
seed	Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed.	Optional. Safe integer.

Output field	Interpretation	Returned shape
cards	Cards	Required. Array of Object; no unknown keys.; minimum items 1; maximum items 16.
cards[].spelling	Spelling	Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 13.
cards[].significantDigits	Significant Digits	Required. Safe integer.
cards[].roundedValue	Rounded Value	Required. Finite number.
cards[].roundedText	Rounded Text	Required. Text.
convention	Convention	Required. Text.
randomness	Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source.	Required. Object; no unknown keys.
randomness.seed	Optional numeric replay seed; normalization and precedence are explained below.	Required. Safe integer. or Null.
randomness.source	Source	Required. Text; one of "context", "seed".

An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.

json

{
  "input": {
    "integerDigits": 3,
    "fractionalDigits": 1,
    "significantDigits": 2,
    "count": 1,
    "seed": 42
  },
  "output": {
    "cards": [
      {
        "spelling": "648.6",
        "significantDigits": 2,
        "roundedValue": 650,
        "roundedText": "6.5e+2"
      }
    ],
    "convention": "binary64 toPrecision; original spelling preserves trailing fractional zeros",
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

At most twelve generated digits are allowed. Rounding follows binary64 toPrecision rather than an exact-decimal arithmetic guarantee; preserved original zeros describe spelling, not measured uncertainty.
A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.

Alternative or Complementary methods

For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.

References

Tool behavior and example: Random Significant Figure Rounding Quiz Generator — tool.io
Calculation or validation: arithmetic/round-significant-figures — tool.io

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