# Tagged Questions

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### How many digits are there in $2^{17}\times 3^2\times 5^{14}\times 7 ?$

How many digits are there in $$2^{17}\times 3^2\times 5^{14}\times 7 ?$$ Question added: I agree with the fellow who asked that if one cannot have 2 and 5 in the number above how we will calculate ...
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### Non-repeating decimals in 1/n [duplicate]

Here's a conjecture I made: The number of non repeating decimal places in the base-ten representation of the fraction 1/n, where n is an integer, is equal to whichever is higher: the exponent of 2 in ...
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### Why irrational implies having an infinite decimal expansion?

Why irrational means having an infinite decimal expansion?
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### Length of recurrent strings of numbers in the decimal expansion of $1/p$, where $p$ is prime.

Am I right to assume that: all rational numbers have a recurrent sequence in their decimal expansion, and the length of the expansion of $1/p$, where $p$ is prime, is $p-1$ for sufficiently large ...
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### Decimal representation and Peano axioms

I really tried to find similar questions but didn't manage to find them. Please, forgive me if this question is a duplicate. I also apologize for my English. So. The question. We're given five Peano ...
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### Definition of period of a decimal representation of a number

I need to define the period of a decimal representation of a number!! Thanks in advance!!
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### What is the terminology for the non-repeating portion of a rational decimal?

Given a number co-prime with 10, such as thirteen, we can construct a repeating decimal from its reciprocal: $\frac{1}{13}$ = 0.(076923). If we successively divide this number by a factor of 10 (i.e., ...
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### Period of repeating decimals

Note: This question is base sensitive. Therefore, assume we have fixed a base $b$. By abuse of terminology, I will still use the word "decimal". This question revolves around the period of repeating ...
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### How to multiply decimal with wholenumber?

How Can I multiply x = (0.35)(80) x = 28 steps by step fastest way I am not going to lie, but it is time for me to take a test without using a calculator. Schools have made me worse by giving us a ...
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### Characterising reals with terminating decimal expansions

Show that a number has a terminating decimal expansion if and only if, it is rational and when in lowest terms, its denominator is coprime to all primes other than $2$ and $5$. This is an unsolved ...
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### Calculate the 146th digit after the decimal point of $\frac{1}{293}$

The question is: Calculate the 146th digit after the decimal point of $\frac{1}{293}$ 1 / 293 = 0,00341296928.., so e.g., the fifth digit is a 1. We know that 293 is a prime, probably this would ...
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### What is special about the numbers 9801, 998001, 99980001 ..?

Just saw this post, and realized that 1/9801 = ...
### Are there any other numbers like $0.999\ldots$?
In a manner similar to how the value $1$ can be represented as $0.(9)$ too, are there any other values that exhibit this property when represented in base 10?