Tagged Questions

1
vote
0answers
317 views

Fraction terms for 6-10 years old - Simplify vs Lowest terms [closed]

What would be the best way to phrase a question to a 6-10 year old. in which I'm asking them to simplify the fraction and then select the correct answer. 1) Simplify this fraction …
0
votes
1answer
408 views

An inequality involving logarithms and fractional parts [closed]

I would like to prove that if $n = 2^i + 2^j$, with $i \neq j$, then $\lbrace\lg n\rbrace \leq 1 - \lg 3$, where $\lbrace x\rbrace$ is the fractional part of the real $x$ and $\lg …
4
votes
4answers
555 views

Reconstructing a fraction from its first digits

It is not difficult to see that any reduced fraction $\frac{p}{q}$ where $0 < p < q $ and both $p$ and $q$ have at most $N$ digits (where $N$ is a fixed integer) can be recon …
0
votes
1answer
296 views

How do you calculate/prove the length of n, the number of non-repeating digits preceeding a periodic sequence of a fractional repeating decimal

Is there a way to calculate the number of non-repeating digits that precede the periodic repeating portion of a decimal expansion? For example: 1/6 = 0.1666.... (there is 1 non …
0
votes
0answers
129 views

What is known about fractions in difference equations?

I'm using the following book as reference: ** Walter G. Kelly and Allan C. Peterson Difference Equations Second Edition, Harcourt Academic Press, 2001. ** I gather from the book …