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Thursday, September 27, 2012


Rate proportion ratio similar  decimals

denominator numerator percentage
Words to mean some of but not all of


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Rate proportion ratio similar  decimals

denominator numerator percentage



Rate proportion ratio similar  decimals
denominator numerator percentage



Ratio 
noun ( pl. -tios)
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other : the ratio of men's jobs to women's is 8 to 1.
• the relative value of silver and gold in a bimetallic system of currency.
ORIGIN mid 17th cent.: from Latin, literally ‘reckoning,’ from rat- ‘reckoned,’ from the verb reri.ratio
noun
the fat ratios in American diets are dangerously askew: proportion, comparative number, correlation, relationship, correspondence; percentage, fraction, quotient.

Ratio


ratio |ˈrā sh ō; ˈrā sh ēˌō|
noun ( pl. -tios)
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other : the ratio of men's jobs to women's is 8 to 1.
• the relative value of silver and gold in a bimetallic system of currency.
ORIGIN mid 17th cent.: from Latin, literally ‘reckoning,’ from rat- ‘reckoned,’ from the verb reri.ratio
noun
the fat ratios in American diets are dangerously askew: proportion, comparative number, correlation, relationship, correspondence; percentage, fraction, quotient.

Ratio

A ratio may be typically converted to a fraction when it is expressed as a ratio to the whole. In the above example, the ratio of yellow cars to the total cars in the lot is 4:12 or 1:3. We can convert these ratios to a fraction and say that 4/12 of the cars or 1/3 of the cars in the lot are yellow.



Proportion

proportion |prəˈpôr sh ən|
noun
a part, share, or number considered in comparative relation to a whole
 : the proportion of greenhouse gases in the atmosphere is rising.
• the relationship of one thing to another in terms of quantity, size, or number; the ratio :
the proportion of exams to schoolwork | the bleach can be diluted with water in
 the proportion one part bleach to ten parts water.
• ( proportions) the comparative measurements or size of different parts of a whole :
 the view of what constitutes perfect bodily proportions changes from one generation to the next.
• ( proportions) dimensions; size : the room, despite its ample proportions, seemed too small for him.
• the correct, attractive, or ideal relationship in size or shape between one thing and another
 or between the parts of a whole : perceptions of color, form, harmony, and proportion.
verb [ trans. ] formal
adjust or regulate (something) so that it has a particular or suitable relationship to something else : a life after death in which happiness can be proportioned to virtue.
PHRASES
in proportion according to a particular relationship in size, amount, or degree : 
each region was represented in proportion to its population. • in comparison 
with; in relation to : the cuckoo's eggs are unusually small in proportion to its 
size. • in the correct or appropriate relation to the size, shape, or position of 
other things : her figure was completely in proportion. • correctly or realistically
 regarded in terms of relative importance or seriousness : the problem has to
be kept in proportion. the sculpture seemed out of proportion to its
surroundings. • greater or more serious than is necessary or appropriate :
 the award was out of all proportion to the alleged libel. • wrongly or
unrealistically regarded in terms of relative importance or seriousness.
sense of proportion the ability to judge the relative importance or
 seriousness of things.
DERIVATIVES
proportionless adjective
ORIGIN late Middle English : from Old French, from Latin proportio(n-),
from pro portione ‘with respect to (its or a person's) share.’
proportion
noun
1 a small proportion of the land: part, portion, amount, quantity, bit,
piece, percentage, fraction, section, segment, share.
2 the proportion of water to alcohol: ratio, distribution, relative
amount/number; relationship.
3 the drawing is out of proportion: balance, symmetry, harmony,
 correspondence, correlation, agreement.
4 (proportions) men of huge proportions: size, dimensions,
magnitude, measurements; mass, volume, bulk; expanse, extent, width,
breadth

Rate 

1 a measure, quantity, or frequency, typically one measured against some other quantity or measure : the crime rate rose by 26 percent.
• the speed with which something moves, happens, or changes : your heart rate.
2 a fixed price paid or charged for something, esp. goods or services : the basic rate of pay | advertising rates.
• the amount of a charge or payment expressed as a percentage of some other amount, or as a basis of calculation : you'll find our current interest rate very competitive.
• (usu. rates) (in the UK) a tax on land and buildings paid to the local authority by a business, and formerly also by occupants of private property.
verb
1 [ trans. ] assign a standard or value to (something) according to a particular scale : they were asked to rate their ability at different driving maneuvers | [ trans. ] the hotel, rated four star, had no hot water and no sink plugs.
• [ trans. ] assign a standard, optimal, or limiting rating to (a piece of equipment) : its fuel economy is rated at 25 miles a gallon in the city.
• Brit. assess the value of (a property) for the purpose of levying a local tax.
2 [ trans. ] consider to be of a certain quality, standard, or rank : he rates the company's stock a “buy.” | [ trans. ] the program has been rated a great success.
• [ intrans. ] be regarded in a specified way : Jeff still rates as one of the nicest people I have ever met.

Rate
noun
1 a fixed rate of interest: percentage, ratio, proportion; scale, standard, level.
2 an hourly rate of $30: charge, price, cost, tariff, fare, levy, toll; fee, remuneration, payment, wage, allowance.
3 the rate of change: speed, pace, tempo, velocity, momentum.In a certain college 60% of all students are female, and 10% of all students are computer science majors. If 5% of female students are computer science majors, what percentage of computer science majors are female?
We are asked to compute the ratio of female computer science majors to all computer science majors. We know that 60% of all students are female, and among these 5% are computer science majors, so we conclude that (60/100) × (5/100) = 3/100 or 3% of all students are female computer science majors. Dividing this by the 10% of all students that are computer science majors, we arrive at the answer: 3%/10% = 30/100 or 30% of all computer science majors are female.






Percentage


In mathematics, a percentage is a number or ratio as a fraction of 100. It is often denoted using the percent sign, “%”, or the abbreviation “pct.”
For example, 45% (read as “forty-five percent”) is equal to 45/100, or 0.45. A related system which expresses a number as a fraction of 1000 uses the terms "per mil" and "millage". Percentages are used to express how large/small one quantity is, relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero. For example, an increase of $ 0.15 on a price of $ 2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase.
Although percentages are usually used to express numbers between zero and one, any ratio can be expressed as a percentage. For instance, 111% is 1.11 and −0.35% is −0.0035. Although this is technically inaccurate as per the definition of percent, an alternative wording in terms of a change in an observed value is “an increase/decrease by a factor of...””
History
In Ancient Rome, long before the existence of the decimal system, computations were often made in fractions which were multiples of 1/100. For example Augustus levied a tax of 1/100 on goods sold at auction known as centesima rerum venalium. Computation with these fractions were similar to computing percentages. As denominations of money grew in the Middle Ages, computations with a denominator of 100 become more standard and from the late 15th century to the early 16th century it became common for arithmetic texts to include such computations. Many of these texts applied these methods to profit and loss, interest rates, and the Rule of Three. By the 17th century it was standard to quote interest rates in hundredths.[1]
Percent sign
The word is derived from the Latin per centum meaning “by the hundred”.[2] The percent sign evolved by gradual contraction of the phrase per cento. The "per" was often abbreviated as "p." and eventually disappeared entirely. The "cento" was contracted to two circles separated by a horizontal line from which the modern "%" is derived.[3]
Calculations
The percent value is computed by multiplying the numeric value of the ratio by 100. For example, to find the percentage of 50 apples out of 1250 apples, first compute the ratio 50/1250 = .04, and then multiply by 100 to obtain 4%. The percent value can also be found by multiplying first, so in this example the 50 would be multiplied by 100 to give 5000, and this this result would be divided by 1250 to give 4%.
To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is:
(50/100) × (40/100) = 0.50 × 0.40 = 0.20 = 20/100 = 20%.
It is not correct to divide by 100 and use the percent sign at the same time.In mathematics the set of all numbers which can be expressed in the form a/b, where a and b are integers and b is not zero, is called the set of rational numbers and is represented by the symbol Q, which stands for quotient.

decimal


adjective
relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten : decimal arithmetic.
• relating to or denoting a system of currency, weights and measures, or other units in which the smaller units are related to the principal units as powers of ten : decimal coinage.
noun (also decimal fraction)
a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
• the system of decimal numerical notation.


Decimal 


adjective
relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten : decimal arithmetic.
• relating to or denoting a system of currency, weights and measures, or other units in which the smaller units are related to the principal units as powers of ten : decimal coinage.
noun (also decimal fraction)
a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
• the system of decimal numerical notation.



Fraction 
(mathematics)


A cake with one fourth removed. The remaining three fourths are shown. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. Each fourth of the cake is denoted by the fraction ¼.
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
A common or vulgar fraction, such as 1/2, 8/5, 3/4, consists of an integer numerator and a non-zero integer denominator—the numerator representing a number of equal parts and the denominator indicating how many of those parts make up a whole. An example is 3/4, in which the numerator, 3, tells us that the fraction represents 3 equal parts, and the denominator, 4, tells us that 4 parts equal a whole. The picture to the right illustrates 3/4 of a cake.
Fractional numbers can also be written without using explicit numerators or denominators, by using decimals, percent signs, or negative exponents (as in 0.01, 1%, and 10−2 respectively, all of which are equivalent to 1/100). An integer such as the number 7 can be thought of as having an implied denominator of one: 7 equals 7/1.
Other uses for fractions are to represent ratios and to represent division.[1] Thus the fraction 3/4 is also used to Another kind of fraction is the percentage (Latin per centum meaning "per hundred",


Percentage


In mathematics, a percentage is a number or ratio as a fraction of 100. It is often denoted using the percent sign, “%”, or the abbreviation “pct.”
For example, 45% (read as “forty-five percent”) is equal to 45/100, or 0.45. A related system which expresses a number as a In a certain college 60% of all students are female, and 10% of all students are computer science majors. If 5% of female students are computer science majors, what percentage of computer science majors are female?
We are asked to compute the ratio of female computer science majors to all computer science majors. We know that 60% of all students are female, and among these 5% are computer science majors, so we conclude that (60/100) × (5/100) = 3/100 or 3% of all students are female computer science majors. Dividing this by the 10% of all students that are computer science majors, we arrive at the answer: 3%/10% = 30/100 or 30% of all computer science majors are female.


Numerator TOP  (parts of population)
the number above the line in a common fraction showing how many of the parts indicated by the denominator are taken, for example, 2 in 2/3.


Numerator TOP  (parts of population)
the number above the line in a common fraction showing how many of the parts indicated by the
denominator are taken, for example, 2 in 2/3.
denominator BOTTOM  (total population in terms of which statistical values are expressed.)

Mathematics
the number below the line in a common fraction; a divisor.
• a figure representing the total population in terms of which statistical values are expressed.
ORIGIN mid 16th cent.: from French dénominateur or medieval Latin denominator, from denominare ‘to name’ (see denominate ).

rate proportion ratio similar denominator numerator percentage decimals












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