# Tagged Questions

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag.

20 views

### n is a positive integer and why squares of positive integers is a multiple of 4

When n is an positive integer , 2n is an even number , and the next even number is 2n+2, Hence explain why the squares of the 2 consequtive even numbers is always a multiple of 4, Can I get a hint ...
11 views

### Percentage of a collection doubly grouped

Suppose I have a collection of people. I look at one specific group which contains 8% of total people. I know in that group the average percentage of total sweets each person has is 3%. I want to ...
147 views

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

Mathematicians typically define rational number to mean quotient of two integers. It is not hard to show that a number is rational by that definition if and only if its decimal expansion terminates ...
49 views

### Prove that $mn < 0 \iff m > 0$ and $n < 0$ or $m <0$ and $n > 0$.

Prove that $mn < 0$ if and only if $m > 0$ and $n < 0$ or $m < 0$ and $n > 0$. $m,n$ element of integers Just starting out teaching myself discrete math still really bad at proofs, ...
32 views

### How do I add chart points together? [closed]

In this video, two points on a chart are added together. As each individual point has X and Y values, how is addition performed? I've researched 'adding chart points' and variations thereof but not ...
16 views

### Arithmetic-definability of geometrically-defined arithmetic concepts

Arithmetic-definability of geometrically-defined arithmetic concepts For purposes of discussion take arithmetic to be the study of the [ positive real] numbers, sequences of numbers, etc. and take ...
47 views

### Are a cirlcle and a triangle limited to seven or do they have their own pattern? [closed]

there are 7 triangles in which the perimeter and the measurement of angles are: $5+5+1=11$ $5+5+2=12$ $5+5+3=13$ $5+5+4=14$ $5+5+5=15$ $5+5+6=16$ $5+5+7=17$ The sequence of seven angles of ...
116 views

### Any real number has at most two decimal representations [closed]

Here, Tao says that any real number has at most two decimal representations. Is this really true? I always thought $\pi$ has only one decimal representation.
193 views

### ⋇ “Division Times” operator in Unicode (U+22C7)? [duplicate]

I found this maths operator in Unicode: ⋇ It is called "Division Times" (U+22C7). Does it behave like ±? For example: 3 ± 2 means it is an ∈ {1, 5}. So 3 ⋇ 2 means it is an ∈ {1.5, 6}?
18 views

### Limit problems involving number series

One of the limit problem I study about arithmetic sequence before but i don't really understand about how the sequence of "n" or "x^n" which in some problem, the answer which "n" will change to (n-1)...
23 views

### Algorithm that calculates decimal places of number

My background. I am a school student. Recently, we learned about rational numbers and irrational numbers. For example, we were told that rational numbers can always be written as a repeating decimal, ...
62 views

### Algebraic number that exponentiated with algebraic number give $\pi$

I'm not sure if an algebraic number elevated with an algebraic exponent can give rise to a transcendental number. If that's the case does anybody know a closed form for an algebraic number that ...