Verified calculation capability

Scientific notation Calculation Capability

Convert between decimal and scientific/engineering notation; normalize and operate on A×10ⁿ forms. · Math

Capability ID math.scientific_notation · version 1.1.1

Open calculator REST API MCP Evidence Evidence JSON CVP Manifest Review policy

Model

Scientific

Scientific: x = A × 10ⁿ, 1 ≤ |A| < 10, for x ≠ 0
Zero: 0 → 0
Multiply: (A×10ᵐ)(B×10ⁿ) = (A·B)×10^(m+n)
Divide: (A×10ᵐ)/(B×10ⁿ) = (A/B)×10^(m−n)
Add / subtract: Align exponents, then add coefficients

Solve modes: dec-sci · sci-dec · convert · engineering · normalize · operate

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

Symbol	Quantity	Unit	Role
`value`	Decimal value for dec-sci / convert	—	input / output
`numInput`	Share-URL alias for value	—	input
`coef`	—	—	input / output
`exp`	—	—	input / output
`op`	—	—	input
`aInput`	—	—	input

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Finite IEEE-754 binary64 values. Inputs outside the supported floating-point range are rejected or reported as overflow/underflow. Very large/small in-range values use exponential display.
UI, share URLs, REST, and validation cases all call this same engine.

Example

One numerical check. The calculator page holds worked steps and FAQ.

0.00042 → 4.2×10⁻⁴; 0 → 0; (3×10⁴)(2×10⁶)=6×10¹⁰

Open this example in the calculator

Trust

CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance · all published modes. Computational verification is defined by CVP. Supplemental domain review (internal) and named expert review are defined by the Review policy and do not by themselves determine CVP conformance.

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance · all published modes· View Manifest · CVP overview · Specification
Verified scope: all published modes
Assurance: Core
Declared partition coverage: PASS · 5/5 declared partitions (convert, normalize, engineering, operate, invalid-domain)
Calculation version: 1.1.1
Verification: 6/6 calculation tests · 4/4 legacy golden · 2/2 legacy boundary
Production surface contract: 3/3
Versions: Calculation 1.1.1 · CVP protocol 1.0.0-proposed · Evidence 2026-09-16.sources-no-wolfram
Verification revision: 2026-09-16.sources-no-wolfram · 5/5 property · digest 4a53cbc5afe2
Reference: O1 model · O2 expected_values · O2 numerical_behavior
Numerical scope: Convert / normalize / engineering: ≤2 ULP on scientific coefficient, exact exponent. Operate: ≤2 ULP on reconstructed binary64 plus exact normalized exponent. Invalid domain: matching error codes (overflow / underflow / division by zero / missing). Not a whole-domain guarantee beyond recorded vectors.
Interfaces: PASS · UI (SSR) / REST / MCP
ui-ssr is query-result HTML, not a live browser session.
CVP suite: 21/21 golden · 1/1 CVP boundary · 7/7 invalid · 5/5 property · 2/2 metamorphic · 2/2 round-trip · 4/4 cross-interface · 3/3 CVP contract
Supplemental domain review: Not performed
Named expert review: Not performed
Version lock: Supported (409 VERSION_MISMATCH)
Artifact consistency: Build verified · 1.1.1 (workspace artifacts agree)
Review-policy tier: Engine tested — catalog token engine_tested; supplemental; not CVP status

This calculator CURRENT · Public schema 1.1.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 3/3.

Tool id: scientific-notation
Engine: scientific-notation
REST: POST /api/v1/calc/scientific-notation
MCP: execute_calculation with capability_id: "math.scientific_notation"
Agent input schema: Canonical (MCP / Agent)
Output schema: JSON Schema (latest)
Versioned input schema: Immutable pin (1.1.1)
Versioned output schema: Immutable pin (1.1.1)

References

Human-readable sources plus CVP reference evidence classes.

Sources

Reference evidence classes: O1 model · O2 expected_values · O2 numerical_behavior

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"math.scientific_notation"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.1.1) when reproducibility matters. Full protocol notes: MCP docs.