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How can I prove that the square of an even number ends in 0/4/6?

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#elementary-number-theory #discrete-mathematics #number-systems
659
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The perfect Number system

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#number-systems
1.8k
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Let $x$ and $y$ be two positive real numbers with $x < y$. Using only the axioms for real numbers, show that $0 < \frac{1}{y} < \frac{1}{x}$.

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#number-theory #number-systems
8.7k
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What is the Scientific Notation of Zero?

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#algebra-precalculus #notation #arithmetic #number-systems #scientific-notation
370
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Algorithm for Converting Non-balanced Base-n to Balanced Base-n (for odd n)

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#binary #number-systems
1.2k
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smallest poisitive integer does not belong in floating point system F

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#number-systems #floating-point
633
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Does every real number have a decimal expansion?

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#elementary-number-theory #real-numbers #number-systems
231
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Numeric sequence

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#contest-math #number-systems
54
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base 13 12 11 10 HELP

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#number-systems
108
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Primes written in bases $2,...,10$ and sequence that counts number of primes in those representations (a question about values of that sequence)

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#number-theory #prime-numbers #recreational-mathematics #number-systems
50
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Can we say anything about "base b valuated primes"?

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#number-theory #prime-numbers #number-systems
47
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Partitioning integers into two parts and exploring relationships with positional numeral systems

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#elementary-number-theory #soft-question #integers #number-systems
493
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How do we name hexadecimal numbers?

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#terminology #number-systems
204
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How many numbers have the form $10n+d$ where $d$ is a non-zero digit?

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#elementary-number-theory #decimal-expansion #number-systems
546
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Prove that is divisible by 7 (condition)

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#elementary-number-theory #contest-math #divisibility #number-systems

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