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How can I prove that all rational numbers are either terminating decimal or repeating decimal numerals?

Published on 05 Sep 2011 - 0:14

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Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction

Published on 06 Sep 2011 - 2:22

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Confused between Nested Quantifiers

Published on 14 Sep 2011 - 15:21

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Proof of an estimate for the tail of a normal distribution

Published on 19 Oct 2011 - 23:16

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Prove that $\lim \limits_{n \to \infty} \frac{x^n}{n!} = 0$, $x \in \Bbb R$.

Published on 31 Oct 2011 - 16:54

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Modular exponentiation by hand ($a^b\bmod c$)

Published on 11 Nov 2011 - 22:05

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Converting multiplying fractions to sum of fractions

Published on 17 Nov 2011 - 20:44

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Continuous mapping on a compact metric space is uniformly continuous

Published on 18 Feb 2012 - 6:40

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Limit of the nested radical $x_{n+1} = \sqrt{c+x_n}$

Published on 02 Mar 2012 - 0:32

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Units and Nilpotents

Published on 14 Mar 2012 - 2:18

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Probability for roots of quadratic equation to be real, with coefficients being dice rolls.

Published on 14 Mar 2012 - 15:00

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Bertrand's box paradox

Published on 16 Apr 2012 - 22:37

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Prove that $A+I$ is invertible if $A$ is nilpotent

Published on 03 May 2012 - 11:22

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Highest power of a prime $p$ dividing $N!$

Published on 05 May 2012 - 0:49

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Finite Sum of Power?

Published on 07 Jun 2012 - 14:43

List Question

How can I prove that all rational numbers are either terminating decimal or repeating decimal numerals?

Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction

Confused between Nested Quantifiers

Proof of an estimate for the tail of a normal distribution

Prove that $\lim \limits_{n \to \infty} \frac{x^n}{n!} = 0$, $x \in \Bbb R$.

Modular exponentiation by hand ($a^b\bmod c$)

Converting multiplying fractions to sum of fractions

Continuous mapping on a compact metric space is uniformly continuous

Limit of the nested radical $x_{n+1} = \sqrt{c+x_n}$

Units and Nilpotents

Probability for roots of quadratic equation to be real, with coefficients being dice rolls.

Bertrand's box paradox

Prove that $A+I$ is invertible if $A$ is nilpotent

Highest power of a prime $p$ dividing $N!$

Finite Sum of Power?

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