LaTeX: Mathematical operations using pgfmath and pgffor packages

Input file name: mathematics1_pgfmath_pgffor.tex
{
\documentclass[12pt,a4paper]{article}

\usepackage{pgfmath,pgffor}

\begin{document}

1 $+$ 2 $\times$ 3 = \pgfmathparse{int(1+2*3)}\pgfmathresult

2.0 $+$ 3.0 $\times$ 4.0 = \pgfmathsetmacro{\result}{2+3*4}\result

(1.0 $+$ 2.0) $\times$ 3.0 = \pgfmathparse{(1.0+2.0)*3.0}\pgfmathresult

%r to convert from radians to degrees, pi radians is 180 degrees

sin(pi/2 radians) = \pgfmathparse{round(sin(pi/2 r))}\pgfmathresult

sin(90 degrees) = \pgfmathparse{sin(90)}\pgfmathresult

$15^{3}$ = \pgfmathparse{int(15^3)}\pgfmathresult

15 power of 3 = \pgfmathparse{int(pow(15,3))}\pgfmathresult

$\sqrt{2}$ = \pgfmathparse{sqrt(2)}\pgfmathresult

pi = \pgfmathparse{pi}\pgfmathresult

pi radians to degrees = \pgfmathparse{int(round(pi r))}\pgfmathresult

radian(180 degrees) = \pgfmathparse{rad(180)}\pgfmathresult

degree(pi radians) = \pgfmathparse{int(round(deg(pi)))}\pgfmathresult

% generate a pseudo-random number between 0 and 1

rnd(0,1) = \pgfmathparse{rnd}\pgfmathresult

% generate a pseudo-random number between -1 and 1

rand(-1,1) = \pgfmathparse{rand}\pgfmathresult

\foreach \x in {1,2,...,10} {\x \hspace{5pt}} %\linebreak[4]

\pagebreak

{

\noindent

\foreach \i in {1,2,...,30}

{

$\i^{2}$ = \pgfmathparse{int(\i^2)}\pgfmathresult \\

}

}

\pagebreak

{

\noindent

\foreach \i in {1,2,...,15}

{

$\i^{3}$ = \pgfmathparse{int(\i^3)}\pgfmathresult \\

}

}

\end{document}

}

Output:
1 + 2 × 3 = 7
2.0 + 3.0 × 4.0 = 14.0
(1.0 + 2.0) × 3.0 = 9.0
sin(pi/2 radians) = 1.0
sin(90 degrees) = 1.0
15^{3} = 3375
15 power of 3 = 3375
√2 = 1.41421
pi = 3.141592654
pi radians to degrees = 180
radian(180 degrees) = 3.14159
degree(pi radians) = 180
rnd(0,1) = 0.28926
rand(-1,1) = -0.79707
1 2 3 4 5 6 7 8 9 10

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
11^2 = 121
12^2 = 144
13^2 = 169
14^2 = 196
15^2 = 225
16^2 = 256
17^2 = 289
18^2 = 324
19^2 = 361
20^2 = 400
21^2 = 441
22^2 = 484
23^2 = 529
24^2 = 576
25^2 = 625
26^2 = 676
27^2 = 729
28^2 = 784
29^2 = 841
30^2 = 900

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
7^3 = 343
8^3 = 512
9^3 = 729
10^3 = 1000
11^3 = 1331
12^3 = 1728
13^3 = 2197
14^3 = 2744
15^3 = 3375