List questions from rational-numbers

Published on 17 Jul 2016 - 23:09

669

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Are there any natural proofs of irrationality using the decimal characterization?

Published on 25 Mar 2026 - 23:37

24.7k

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How to find a rational number between two irrational numbers?

Published on 24 Jul 2016 - 13:42

592

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Pugh's exercise on Dedekind cuts addition

Published on 01 Apr 2026 - 6:11

172

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Sum and product of rational numbers is unity

Published on 31 Mar 2026 - 21:09

70

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Normal extension of rational numbers with given Galois group

Published on 02 Aug 2016 - 12:32

79

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Pythagorean triplet mutiple angles

Published on 26 Mar 2026 - 19:15

18.7k

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Why can't calculus be done on the rational numbers?

Published on 04 Aug 2016 - 0:49

102

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What is a point in $\mathbb{R}^2\setminus \mathbb{Q}^2$ that only has one irrational coordinate?

Published on 01 Apr 2026 - 7:52

3.7k

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Find the rational number whose decimal expansion is $0.3344444444\dots$

Published on 29 Mar 2026 - 13:41

4k

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Notation for specifying the fractional part of a number

Published on 30 Mar 2026 - 10:38

111

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Are elements of $\mathbb{Q}$ unique by value?

Published on 04 Aug 2016 - 21:44

285

Views

Construction of exponentiation of the integers, rationals, and reals?

Published on 30 Mar 2026 - 16:06

2.5k

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Show that $\mathbb{Q}$ is not locally compact with a characterization of local compactness

Published on 09 Aug 2016 - 9:01

89

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Why does the expression $\frac {x(10^x-1)}{9}$ yield "$x$, repeated $x$ times" (eg, $5\to 55555$)?

Published on 29 Mar 2026 - 13:47

List Question

If $\frac{a}{b}\in \left[\frac{p-1}{q},\frac{p}{q}\right]$, is then $b\ge q$?

Are there any natural proofs of irrationality using the decimal characterization?

How to find a rational number between two irrational numbers?

Pugh's exercise on Dedekind cuts addition

Sum and product of rational numbers is unity

Normal extension of rational numbers with given Galois group

Pythagorean triplet mutiple angles

Why can't calculus be done on the rational numbers?

What is a point in $\mathbb{R}^2\setminus \mathbb{Q}^2$ that only has one irrational coordinate?

Find the rational number whose decimal expansion is $0.3344444444\dots$

Notation for specifying the fractional part of a number

Are elements of $\mathbb{Q}$ unique by value?

Construction of exponentiation of the integers, rationals, and reals?

Show that $\mathbb{Q}$ is not locally compact with a characterization of local compactness

Why does the expression $\frac {x(10^x-1)}{9}$ yield "$x$, repeated $x$ times" (eg, $5\to 55555$)?

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