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Examples of Mathematics

Logarithms Posted on 2011-05-03 12:29:58

A logarithm answers a simple question: How many of one number do we multiply to get another number?
For example:
How many 2s need to be m...Multiply two polynomials Posted on 2011-05-03 12:24:54

To multiply two polynomials:
* multiply each term in one polynomial by each term in the other polynomial
* add those answers togeth...Cube roots Posted on 2011-05-03 12:21:23

To cube a number, just use it in a multiplication 3 times. A cube root goes the other direction:
3 cubed is 27, so the cube root of 27 is 3
...Perfect Cubes Posted on 2011-05-03 12:19:32

The Perfect Cubes are the cubes of the whole numbers:
1 = 1
2 = 8
3 = 27
4 = 64
5 = 125
6 = 216
7 = 343
8 = 512
9 = 729
10 = 1000
11 = 1331...Reciprocal of a number Posted on 2011-05-03 12:16:42

Turn it upside down. To get the reciprocal of a number, just divide 1 by the number.
Examples:
Number -> Reciprocal = As a Decimal
2 -...Reciprocal of a Variable Posted on 2011-05-03 12:15:10

Turn it upside down. If you are given a variable "x", its reciprocal is "1/x".
Likewise, if you are given something more complicated like "...Substitution in Algebra Posted on 2011-05-03 12:07:53

In Algebra "Substitution" means putting numbers where the letters are:
If you have: x-2 and you know that x=6 ... then you can "substitute"...Perpendicular lines Posted on 2011-05-03 12:04:31

A line is perpendicular to another if they meet at 90 degrees.
The red line is perpendicular to the blue line:
Perpendicular have slope...Parallel lines Posted on 2011-05-03 12:01:02

Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.
An example of two parallel lin...Irrational numbers Posted on 2011-04-25 11:52:11

An Irrational Number is a real number that cannot be written as a simple fraction.
An example of irrational number is Pi (π):
&am...Rational numbers Posted on 2011-04-25 11:48:48

A rational number is a number that can be written as a simple fraction, in which both the numerator (the number on top) and the denominator ...Even and odd numbers Posted on 2011-04-25 11:46:44

Even numbers are numbers that can be divided evenly by 2. Examples of Even numbers:
{ … -4, -2, 0, 2, 4, … }
Odd numbers are numbers th...Prime Numbers Posted on 2011-04-25 11:44:18

A prime number can be divided, without a remainder, only by itself and by 1.
Some examples of prime numbers are:
2 3 5 7 11 13 17 ...Roman Numerals Posted on 2011-04-25 11:41:12

Roman numerals are expressed by letters of the alphabet:
I=1
V=5
X=10
L=50
C=100
D=500
M=1000
Examples of roman numerals:
VI = 6 (5 +...Distributive Law Posted on 2011-03-27 21:30:43

Distributive Law says that:
a(b + c) = ab + ac
Examples of the Distributive Law:
a. 9(a + 7) = 9a + 63
b. -6(y - 8) = -6y + 48
c. -a...