A rational number is any number that can be expressed as a fraction (p)/(q), where p and q are integers and q != 0.

May 1, 2026Mathematics

$A rational number is any number that can be expressed as a fraction (p)/(q), where p and q are integers and q != 0.$

ScanSolve AI Answer

May 1, 2026

Answer

2.111...$ (1)

Here's how to show that the given numbers are rational by expressing them as fractions:

A rational number is any number that can be expressed as a fraction $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .

Example given in the image: $2.1^\cdot$ Let $x = 2.111...$ (1) Multiply by 10 to shift the repeating digit: $10x = 21.111...$ (2) Subtract (1) from (2): $10x - x = 21.111... - 2.111...$ $9x = 19$

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Here's how to show that the given numbers are rational by expressing them as fractions: A rational number is any number that can be expressed as a fraction (p)/(q), where p and q are integers and q ≠ 0.

Asked on May 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 1, 2026

Here's how to show that the given numbers are rational by expressing them as fractions: A rational number is any number that can be expressed as a fraction (p)/(q), where p and q are integers and q ≠ 0. Example given in the image: 2.1^· Let x = 2.111... (1) Multiply by 10 to shift the repeating digit: 10x = 21.111... (2) Subtract (1) from (2): 10x - x = 21.111... - 2.111... 9x = 19