Math Synthesis IV

7/31/2019 Math Synthesis IV

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The "small" end always points to the smaller number, like this:

Greater Than Symbol: BIG > small


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SECONDAddition is the mathematical operation of

combining or adding two numbers to obtain

an equal simple amount or total. Addition

also provides a model for related processes

such as joining two collections of objects

into one collection. Repeated addition of the

numberone is the most basic form ofcounting.

Addition is written using the plus sign "+" between the terms; that is, in infixnotation. The result is expressed with an equals sign. For example,

1 + 1 = 2

2 + 2 = 4

5 + 4 + 2 = 11

3 + 3 + 3 + 3 = 12

There are also situations where addition is "understood" even though no symbol

appears:

A column of numbers, with the last number in the column underlined, usually

indicates that the numbers in the column are to be added, with the sum written

below the underlined number.

The numbers or the objects to be added are generally called the "terms", the

"addends", or the "summands"; this terminology carries over to the summation of

multiple terms.

All of this terminology derives from Latin. "Addition" and "add" are English words

derived from the Latin verb addere, which is in turn a compound of ad "to" and

dare "to give", from the Indo-European rootdo- "to give"; thus to addis to give to.

Using the gerundive suffix -nd results in "addend", "thing to be added". Likewise

from augere "to increase", one gets "augend", "thing to be increased".
http://www.answers.com/topic/operation-mathematicshttp://www.answers.com/topic/1-1http://www.answers.com/topic/counting-1http://www.answers.com/topic/counting-1http://en.wikipedia.org/wiki/Plus_and_minus_signshttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Equals_signhttp://en.wikipedia.org/wiki/Underlinehttp://en.wikipedia.org/wiki/Latinhttp://en.wiktionary.org/wiki/additionhttp://en.wiktionary.org/wiki/addhttp://en.wikipedia.org/wiki/English_languagehttp://en.wikipedia.org/wiki/Verbhttp://en.wikipedia.org/wiki/Compound_(linguistics)http://en.wikipedia.org/wiki/Compound_(linguistics)http://en.wikipedia.org/wiki/List_of_common_Indo-European_rootshttp://en.wikipedia.org/wiki/List_of_common_Indo-European_rootshttp://en.wikipedia.org/wiki/Gerundivehttp://en.wikipedia.org/wiki/Affixhttp://www.answers.com/topic/1-1http://www.answers.com/topic/counting-1http://en.wikipedia.org/wiki/Plus_and_minus_signshttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Equals_signhttp://en.wikipedia.org/wiki/Underlinehttp://en.wikipedia.org/wiki/Latinhttp://en.wiktionary.org/wiki/additionhttp://en.wiktionary.org/wiki/addhttp://en.wikipedia.org/wiki/English_languagehttp://en.wikipedia.org/wiki/Verbhttp://en.wikipedia.org/wiki/Compound_(linguistics)http://en.wikipedia.org/wiki/List_of_common_Indo-European_rootshttp://en.wikipedia.org/wiki/Gerundivehttp://en.wikipedia.org/wiki/Affixhttp://www.answers.com/topic/operation-mathematics


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"Sum" and "summand" derive from the Latin noun summa "the highest, the top"

and associated verb summare. This is appropriate not only because the sum of two

positive numbers is greater than either, but because it was once common to add

upward, contrary to the modern practice of adding downward, so that a sum was

literally higher than the addends. Addere and summare date back at least to

Boethius, if not to earlier Roman writers such as Vitruvius and Frontinus; Boethius

also used several other terms for the addition operation.

SUBTRACTION

It is one of the four basic arithmetic

operations; it is the inverse ofaddition, meaning that if we start with

any number and add any number and

then subtract the same number we

added, we return to the number we

started with.. Subtraction is denoted

by a minus sign in infix notation. The

traditional names for the parts of the formula:

c b = a

Are minuend (c) subtrahend (b) = difference (a). The words "minuend" and

"subtrahend" are uncommon in modern usage. Instead we say that cand -b are

terms, and treat subtraction as addition of the opposite. The answer is still called

the difference.

Subtraction is used to model four related processes:

From a given collection, take away (subtract) a given number of objects. For

example, 5 apples minus 2 apples leaves 3 apples.From a given measurement, take away a quantity measured in the same units. If I

weigh 200 pounds, and lose 10 pounds, then I weigh 200 - 10 = 190 pounds.

Compare two like quantities to find the difference between them. For example, the

difference between $800 and $600 is $800 $600 = $200. Also known as

comparative subtraction.
http://en.wikipedia.org/wiki/Nounhttp://en.wikipedia.org/wiki/Anicius_Manlius_Severinus_Boethiushttp://en.wikipedia.org/wiki/Vitruviushttp://en.wikipedia.org/wiki/Sextus_Julius_Frontinushttp://en.wikipedia.org/wiki/Arithmetichttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Plus_and_minus_signshttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Formulahttp://en.wikipedia.org/wiki/Nounhttp://en.wikipedia.org/wiki/Anicius_Manlius_Severinus_Boethiushttp://en.wikipedia.org/wiki/Vitruviushttp://en.wikipedia.org/wiki/Sextus_Julius_Frontinushttp://en.wikipedia.org/wiki/Arithmetichttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Plus_and_minus_signshttp://en.wikipedia.org/wiki/Infix_notationhttp://en.wikipedia.org/wiki/Formula


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To find the distance between two locations at a fixed distance from starting point.

For example if, on a given highway, you see a milage marker that says 150 miles

and later see a milage marker that says 160 miles, you have traveled 160 - 150 =

10 miles.

In mathematics, it is often useful to view or even define subtraction as a kind of

addition, the addition of the opposite. We can view 7 3 = 4 as the sum of two

terms: seven and negative three. This perspective allows us to apply to subtraction

all of the familiar rules and nomenclature of addition. Subtraction is not associative

orcommutative in fact, it is anticommutative but addition of signed numbers is

both.
http://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Term_(mathematics)http://en.wikipedia.org/wiki/Associativehttp://en.wikipedia.org/wiki/Commutativehttp://en.wikipedia.org/wiki/Anticommutativityhttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Additionhttp://en.wikipedia.org/wiki/Term_(mathematics)http://en.wikipedia.org/wiki/Associativehttp://en.wikipedia.org/wiki/Commutativehttp://en.wikipedia.org/wiki/Anticommutativity


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THIRDLENGTHThe standard unit of lengthin the metric system is the meter.

1 millimeter = 0.001 meter

1 centimeter = 0.01 meter

1 decimeter = 0.1 meter

1 kilometer = 1000 meters

Abbreviations

1 millimeter = 1 mm

1 centimeter = 1 cm

1 meter = 1 m

1 decimeter = 1 dm

1 kilometer = 1 km

Length Conversion CalculatorFOR REFERENCE:One meter is about half the height of a very talladult.A centimeter is a little less than the diameter ofa dimeA millimeter is about the thickness of a dime.

LENGTHThe standard unit of length in the metric system is the meter. Other units of lengthand their equivalents in meters are as follows:1 millimeter = 0.001 meter1 centimeter = 0.01 meter1 decimeter = 0.1 meter1 kilometer = 1000 meters

We symbolize these lengths as follows:1 millimeter = 1 mm
http://www.athropolis.com/popup/c-length2.htmhttp://www.athropolis.com/popup/c-length2.htmhttp://www.athropolis.com/popup/c-length2.htm


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1 centimeter = 1 cm1 meter = 1 m1 decimeter = 1 dm1 kilometer = 1 kmFor reference, 1 meter is a little longer than 1 yard or 3 feet. It is about half the

height of a very tall adult. A centimeter is nearly the diameter of a dime, a little lessthan half an inch. A millimeter is about the thickness of a dime.


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FOURTHLENGTHThe standard unit of lengthin the metric system is the meter.

1 millimeter = 0.001 meter

1 centimeter = 0.01 meter

1 decimeter = 0.1 meter

1 kilometer = 1000 meters

Abbreviations

1 millimeter = 1 mm

1 centimeter = 1 cm

1 meter = 1 m

1 decimeter = 1 dm

1 kilometer = 1 km

Length Conversion CalculatorFOR REFERENCE:One meter is about half the height of a very talladult.A centimeter is a little less than the diameter ofa dimeA millimeter is about the thickness of a dime.

LENGTH

The standard unit of length in the metric system is the meter. Other units of lengthand their equivalents in meters are as follows:1 millimeter = 0.001 meter1 centimeter = 0.01 meter1 decimeter = 0.1 meter1 kilometer = 1000 meters

We symbolize these lengths as follows:1 millimeter = 1 mm1 centimeter = 1 cm
http://www.athropolis.com/popup/c-length2.htmhttp://www.athropolis.com/popup/c-length2.htmhttp://www.athropolis.com/popup/c-length2.htm


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1 meter = 1 m1 decimeter = 1 dm1 kilometer = 1 kmFor reference, 1 meter is a little longer than 1 yard or 3 feet. It is about half theheight of a very tall adult. A centimeter is nearly the diameter of a dime, a little less

than half an inch. A millimeter is about the thickness of a dime.

FRACTIONS


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In many situations we use the fractions as: Alejandro took 3 of the 9 pictures from

the poster; we express them like a fraction.

3 they are the pictures Alejandro too

9 total of pictures.

The terms of a fraction are: the numerator and denominator.

The numerator to indicate the number of part took.

The denominator to indicate the number of equal parts divided.

ADDITION AND SUBTRACTION OF FRACTIONARIES

To add or to subtract fractions with the same denominator, we add o to subtract the

numerators and let the same denominator.

Example:

2/3 + 5/3 = 2+5/3 =7/3

MULTIPLIYING OF FRACTIONES

To do this operation, we multiply the numerators among and denominators among

too.

Example:

x 3/2 = 1X3/4X2 = 3/8

FIFTH


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GRAPHICS

A graph of the price movements of a given security over a given time period,

sometimes along with volume data. Charts are the main tool that technicalanalysts use in order to plot data and predict prices. Technical analysts may useseveral different types of charts in order to conduct theirtests and lookforpatterns in the data, including line charts, bar charts, and candlestick charts.

TABLE

A table consists of an ordered arrangement ofrows and columns. This is asimplified description of the most basic kind of table. Certain considerations follow

from this simplified description:

the term row has several common synonyms (e.g., record, k-tuple, n-tuple,vector);

the term column has several common synonyms (e.g., field, parameter,property, attribute);

a column is usually identified by a name;

a column name can consist of a word, phrase or a numerical index;

the intersection of a row and a column is a cell.
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BAR CHART

A graph used by technicians toanalyze stockperformance and makeassumptions about futureprice behavior.It is comprised of a series of vertical lines called bars. The top and bottom of thebar represent the high and low for the periodicity selected. A tick on the left side ofa barindicates the open price and a tick on the right of the bar indicates the close.

A barchartuses time as the X-axis and price as the y-axis. Compare toCandlestick Chart; Point and Figure Chart.

PIE CHART
http://www.investorwords.com/4930/technician.htmlhttp://www.investorwords.com/4725/stock.htmlhttp://www.investorwords.com/3665/performance.htmlhttp://www.investorwords.com/10256/make.htmlhttp://www.investorwords.com/305/assumption.htmlhttp://www.investorwords.com/9809/future.htmlhttp://www.investorwords.com/3807/price.htmlhttp://www.investorwords.com/4497/series.htmlhttp://www.investorwords.com/2306/high.htmlhttp://www.investorwords.com/4966/tick.htmlhttp://www.investorwords.com/10166/left.htmlhttp://www.investorwords.com/10019/indicate.htmlhttp://www.investorwords.com/3432/open.htmlhttp://www.investorwords.com/831/chart.htmlhttp://www.investorwords.com/14949/use.htmlhttp://www.investorwords.com/3724/point_and_figure_chart.htmlhttp://www.investorwords.com/4930/technician.htmlhttp://www.investorwords.com/4725/stock.htmlhttp://www.investorwords.com/3665/performance.htmlhttp://www.investorwords.com/10256/make.htmlhttp://www.investorwords.com/305/assumption.htmlhttp://www.investorwords.com/9809/future.htmlhttp://www.investorwords.com/3807/price.htmlhttp://www.investorwords.com/4497/series.htmlhttp://www.investorwords.com/2306/high.htmlhttp://www.investorwords.com/4966/tick.htmlhttp://www.investorwords.com/10166/left.htmlhttp://www.investorwords.com/10019/indicate.htmlhttp://www.investorwords.com/3432/open.htmlhttp://www.investorwords.com/831/chart.htmlhttp://www.investorwords.com/14949/use.htmlhttp://www.investorwords.com/3724/point_and_figure_chart.html


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Math Synthesis IV