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Examples of Mathematics

Find the Median Value Posted on 2011-05-05 18:41:40

The Median is the "middle number" (in a sorted list of numbers). To find the Median, place the numbers you are given in value order and find...Convert Areas Posted on 2011-05-05 10:34:38

To convert area, simply remember that area is length by width:
Area = Length × Width
So, you need to convert once for the length and once a...Convert Volumes Posted on 2011-05-05 10:33:40

Conversion is simply a matter of multiplying by the right number.
For example: Convert 30 cubic feet into cubic meters (30 ft3 to m3)
The...Convert Lengths Posted on 2011-05-05 10:32:44

Conversion is simply a matter of multiplying by the right number.
For example, the conversion for kilometers into miles is:
1 km = 0.6214 m...Convert Metric to imperial Posted on 2011-05-05 10:29:21

Conversion is simply a matter of multiplying by the right number.
Some examples:
What is 2,000 meters in Imperial?
1. In the chart it sho...Injective functions Posted on 2011-05-05 10:25:40

A function f is injective if and only if whenever f(x) = f(y), x = y.
Example: f(x) = x+5 from the set of real numbers naturals to natural...Expanding parentheses Posted on 2011-05-05 10:21:19

Expanding parentheses or brackets means remove it. Whatever is inside the ( ) needs to be treated as a "package". When you multiply, you hav...Distributive Laws Posted on 2011-05-05 10:17:46

The Distributive Law says you get the same answer when you:
1. multiply a number by a group of numbers added together, or
2. do each multip...Associative Laws Posted on 2011-05-05 10:14:56

The "Associative Laws" say that it doesn"t matter how you group the numbers:
1) when you add:
(a + b) + c = a + (b + c)
Example: (6 + 3)...Commutative Laws Posted on 2011-05-05 00:27:15

The "Commutative Laws" say you can swap numbers over and still get the same answer:
1) when you add:
a + b = b + a
Example: 2 + 8 = 8 + ...Quadratic Equations Posted on 2011-05-04 18:30:50

The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2).
Quadratic Equation looks like: ax2 + bx ...Fibonacci Sequence Posted on 2011-05-03 12:39:04

This is the Fibonacci Sequence:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
The next number is found by adding the two numbers before it together:...Calculate terms of Sequences Posted on 2011-05-03 12:37:15

A Sequence is a set of things (usually numbers) that are in order.
Examples:
Calculate the first 4 terms of this sequence: {an} = { (-1/n...Infinite or Finite sequences Posted on 2011-05-03 12:34:44

A Sequence is a set of things (usually numbers) that are in order. If the sequence goes on forever it is called an infinite sequence, otherw...Natural Logarithms Posted on 2011-05-03 12:32:53

A logarithm answers a simple question: How many of one number do we multiply to get another number?
A natural logarithm is when base is e (...