Questions on basic arithmetic, e.g. addition, subtraction, multiplication, division, powers, roots, etc.
0
votes
5answers
21 views
Converting Hexadecimals
I need help converting Hexadecimals.
How do I go about converting something like E0D base 16 to decimal? How about to binary?
0
votes
0answers
21 views
Combining Remainders in Divison
I am trying to find another way to approach a division problem than the typical long division approach.
For example: $876/32$.
I am trying to break this division number into single digits only.
for ...
3
votes
2answers
37 views
Another Approach to Long division
I need your help with a lifelong problem I have always had. There are two things in life I hate most, 1) weddings and 2) Long division. For the life of me I hate division. I am horrible at it. I can ...
0
votes
3answers
19 views
Given a distance, two different speeds and time how to determine how far was traveled on each speed.
Given a distance, two different speeds and time how to determine how far was traveled on each speed.
For example, if 100m has been traveled in 5 seconds and there was the option to travel the ...
8
votes
2answers
97 views
calculate $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ given $(x+x^{-1})^2 = 3$
If $\left(x+\dfrac 1 x\right)^2=3$ then the value of $$x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1.$$
I'm trying to solve it like this $$x^2+\dfrac {1}{x^2}=1\text{ and }; x^6+\dfrac ...
1
vote
3answers
21 views
Division by fractions [duplicate]
Why is it that to divide by a fraction you need to multiply by the reciprocal of that fraction?
For instance:
$\eqalign{
& 1 \div \frac{1}{3} \cr
& = 1 \times 3 \cr
& = 3 ...
1
vote
3answers
37 views
If $A,B,C \leq M$, how can we show $\alpha A + \alpha B + (1-2\alpha )C \leq M$?
If $A,B,C \leq M$, how can we show
$$\alpha A + \alpha B + (1-2\alpha )C \leq M,$$
where $0 \leq \alpha \leq 1/2$? What is a counter-example if $\alpha > 1/2$?
My first thought was to try to ...
1
vote
3answers
83 views
How can we solve this elementary school math problem without using equation or simultaneous equations?
I got an elementary math problem this morning. The students have not learnt linear equation as well as simultaneous equations yet.
I have solved it with simultaneous equations and I have no idea ...
3
votes
0answers
34 views
(Integer) Variant of Hilbert’s irreducibility theorem
Let $P\in{\mathbb Q}[X,Y]$ such that $P(x,.)$ has an integer root for any integer
$x\in{\mathbb Z}$. Does it follow that $P$ has a factor of the form
$Y-Q(X)$ for some $Q\in{\mathbb Q}[X]$ such that ...
0
votes
1answer
37 views
Complement Calculations - Why do I get different answers with ones' and twos' complement?
I am finishing an assignment related to complement calculations. The question is as follows:
...
0
votes
1answer
34 views
Find a point on a plane
I have three points to write the equation of a plane: assume $P_1=(x_1,y_1,z_1),P_2=(x_2,y_2,z_2),P_3=(x_3,y_3,z_3)$. I can also write the equation of this plane.
I want to obtain the coordinate of ...
-1
votes
1answer
21 views
$n$ students divided into equal groups of $4$ with $1$ student left over or equal groups of $5$ with $3$ students left over
A group of $n$ students can be divided into equal groups of $4$ with $1$ student left over or equal groups of $5$ with $3$ students left over. What is the sum of the two smallest possible values of ...
1
vote
1answer
29 views
Setting up a word problem.
I cannot figure out if this is right because there is no example to verify calculations and I have gone over this a few hours now. I do not need help with programming, just the correct mathematics.
...
0
votes
2answers
23 views
Confused in basic hex subtraction
I am having trouble thinking in hex terms when making hex subtraction.
Example: I am trying to do: 0x503c - 0x40
I am stuck in the part subtracting the 4 from 3. I ...
0
votes
1answer
13 views
Create a simple expression that is larger than zero if and only if a-b > 0 and c-d < 0
Ok, this is simple but I cant figure out a solution to it.
I have four signals, a, b, c, d. I want to generate a signal when a-b > 0 and c-d < 0. This signal should be in the form of an algebraic ...