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division

Perform precise division calculations by entering a numerator and denominator. The tool outputs the result accurately, aiding in mathematical problem-solving tasks.

Instructions

Divides the first number by the second number

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
denominatorYesThe number to divide by (denominator)
numeratorYesThe number being divided (numerator)

Implementation Reference

  • src/index.ts:80-92 (registration)
    Registers the 'division' MCP tool with input schema (numerator, denominator), description, and an async handler that calls Arithmetic.division and returns the result as text content.
    mathServer.tool("division", "Divides the first number by the second number", {
        numerator: z.number().describe("The number being divided (numerator)"),
        denominator: z.number().describe("The number to divide by (denominator)")
    }, async ({ numerator, denominator }) => {
        const value = Arithmetic.division(numerator, denominator)
    
        return {
            content: [{
                type: "text",
                text: `${value}`
            }]
        }
    })
  • Zod schema defining input parameters for the 'division' tool: numerator and denominator as numbers.
    numerator: z.number().describe("The number being divided (numerator)"),
    denominator: z.number().describe("The number to divide by (denominator)")
  • MCP tool handler function for 'division': invokes Arithmetic.division and formats the result as MCP response content.
    }, async ({ numerator, denominator }) => {
        const value = Arithmetic.division(numerator, denominator)
    
        return {
            content: [{
                type: "text",
                text: `${value}`
            }]
        }
  • Static helper method in Arithmetic class that performs the actual division operation (numerator / denominator).
    static division(numerator: number, denominator: number) {
        const quotient = numerator / denominator
        return quotient
    }
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full burden of behavioral disclosure. It states the basic operation but fails to mention critical behaviors such as handling division by zero, error conditions, or output format. This is a significant gap for a mathematical tool with potential runtime issues.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is extremely concise and front-loaded with a single, clear sentence that directly states the tool's function. There is no wasted verbiage, making it efficient and easy to parse.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the lack of annotations and output schema, the description is incomplete. It doesn't address behavioral aspects like error handling or result formatting, which are crucial for a division operation. While the schema covers parameters well, the overall context for safe and effective use is insufficient.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, with clear parameter descriptions in the schema (e.g., 'numerator' as 'The number being divided'). The description adds minimal value beyond the schema, as it only reiterates the division operation without providing additional context like constraints or examples.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool's purpose as 'Divides the first number by the second number,' which is a specific verb (divides) and resource (numbers). It distinguishes from siblings like 'add' or 'multiply' by specifying division, though it doesn't explicitly contrast with them beyond the inherent mathematical operation.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides no guidance on when to use this tool versus alternatives. It doesn't mention sibling tools like 'multiply' or 'subtract,' nor does it specify contexts where division is preferred over other mathematical operations, leaving usage entirely implicit.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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