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SIGNIFICANT FIGURES

Definition: SIGNIFICANT FIGURES

SIGNIFICANT FIGURES

1. (Arith.), the figures which remain to any number, or decimal fraction, after the ciphers at the right or left are canceled. Thus, the significant figures of 25,000, or of .0025, are 25.

Source: Webster's Revised Unabridged Dictionary (1913)
 


Crosswords: SIGNIFICANT FIGURES

English words defined with "SIGNIFICANT FIGURES": accuracy. (references)

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Specialty Definition: Significant figures

(From Wikipedia, the free Encyclopedia)

Significant Figures is a method of determining propogation of error in a scientific experiment that is often taught in high school science classes. It is often reffered to as "sig figs" or as "sig digs" (significant digits).

Measuring with Significant Figures

The significant figures method teaches that when measuring using a non-electronic instrument, the observer should estimate within the nearest tenth of a division marked on the insturment. For example, if a graduated cylinder was marked off at every mililiter, the observer should measure the amount of volume contained in the cylinder to the nearest tenth of a mililiter. In order to express the degree of percision to which a value was measured, decimals are used. When using significant figures rules, it should be assumed that the last significant digit of every value was estimated. Using the previous example, if the observer read the amount of liquid in the cylinder to be exactly 12 mililiters, he would write the value as 12.0, which would indicate that the tenths place was an estimation. If the cylinder was marked off to every tenth of a milimeter, he would write the value as 12.00. Note that exact numbers obtained by counting should not be subject to the rules of significant figures.

Counting Significant Figures

Before calculations can be done according to the rules of significant figures, one must know how many significant digits are in each number being used in the calculations. Rules for determining the significance of digits are as follows:

In order to correctly show which digits are significant, figures such as "2000" should be expressed in scientific notation to the correct number of significant figures. If two digits are significant the number is 2.0x10³, if three are significant then it's 2.00x10³.

Multiplying and Dividing using Significant Figures

When multiplying and dividing numbers together, the product or quotient is rounded to the number of significant figures of that of the factor with the least. For instance, using significant figures rules:

Adding and Subtracting using Significant Figures

When adding and subtracting numbers together, the sum or differences is rounded to the place farthest to the right of the decimal point of the number with the least amount of digits after the decimal point. The number of significant figures in each number is irrelevant. For instance, using significant figures rules:

Even-Odd Rule

As with all rounding procedures, if the number directly to the right of the digit to be rounded to is less than five, the digit stays the same; if more than five, the digit is rounded up. However, to always round up or down if the digit is equal to exactly five would skew data in one direction or the other. Thus, when using the significant figures system and rounding in such situation, the even-odd rule is used: round in whichever direction would make the last digit of the final product even. For example:

In this way, the even-odd rule avoids skewing data either upwards or downwards.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Significant figures."

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Commercial Usage: SIGNIFICANT FIGURES

DomainTitle

Books

  • Ottoman Turkish Writers: A Biographical Dictionary of Significant Figures in Pre-Republican Turkish Literature (American University Studies, Series) (reference)

  • Significant Figures Made Easy (reference)

    (more book examples)

Source: compiled by the editor from various references; see credits.

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Photo Album: SIGNIFICANT FIGURES

ThumbnailDescription & Credit

Significant figures of our time. 2. Upon the untimely death of his parents he finds work in a hotel kitchen, and has his first introduction to the subtleties of continental cuisine. Credit: Library of Congress.

Source: pictures compiled by the editor from various references; see picture credits.

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Modern Translations: SIGNIFICANT FIGURES

Language Translations for "SIGNIFICANT FIGURES"; alternative meanings/domain in parentheses.

Danish

  

omregningskurserne fastsættes med seks betydende cifre (the conversion rates should be defined with six significant figures). (various references)

   

Dutch

  

de omrekeningskoersen moeten in zes significante cijfers worden vastgesteld (the conversion rates should be defined with six significant figures). (various references)

   

Finnish

  

muuntokurssit olisi määriteltävä kuuden merkitsevän numeron tarkkuudella (the conversion rates should be defined with six significant figures). (various references)

   

French

  

les taux de conversion sont définis avec six chiffres significatifs (the conversion rates should be defined with six significant figures). (various references)

   

German

  

die Umrechnungskurse sollen mit sechs signifikanten Stellen festgelegt werden (the conversion rates should be defined with six significant figures). (various references)

   

Greek 

  

οι τιμές μετατροπής καθορίζονται με έξι χαρακτηριστικά ψηφία [1]. (various references)

   

Italian

  

i tassi di conversione sono definiti con sei cifre significative (the conversion rates should be defined with six significant figures). (various references)

   

Pig Latin

  

ignificantsay iguresfay

   

Portuguese

  

as taxas de conversão são definidas com seis algarismos significativos (the conversion rates should be defined with six significant figures). (various references)

   

Spanish

  

cifras significativas. (various references)

   

Swedish

  

omräkningskurserna bör fastställas med sex signifikanta siffror (the conversion rates should be defined with six significant figures). (various references)

Source: compiled by the editor from various translation references.

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Anagrams: SIGNIFICANT FIGURES

Scrabble® YAWL-Verified Anagrams

Words within the letters "a-c-e-f-f-g-g-i-i-i-i-n-n-r-s-s-t-u"

-5 letters: canisterising.

Source: compiled by the editor from various references; see credits.

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Alternative Orthography: SIGNIFICANT FIGURES


Hexadecimal (or equivalents, 770AD-1900s) (references)

53 49 47 4E 49 46 49 43 41 4E 54      46 49 47 55 52 45 53

Leonardo da Vinci (1452-1519; backwards) (references)

    

Binary Code (1918-1938, probably earlier) (references)

01010011 01001001 01000111 01001110 01001001 01000110 01001001 01000011 01000001 01001110 01010100 00100000 01000110 01001001 01000111 01010101 01010010 01000101 01010011

HTML Code (1990) (references)

&#83 &#73 &#71 &#78 &#73 &#70 &#73 &#67 &#65 &#78 &#84 &#32 &#70 &#73 &#71 &#85 &#82 &#69 &#83

ISO 10646 (1991-1993) (references)

0053 0049 0047 004E 0049 0046 0049 0043 0041 004E 0054      0046 0049 0047 0055 0052 0045 0053

Encryption (beginner's substitution cypher): (references)

5343414843404337354854240434155523953

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Non-English Dictionaries with "SIGNIFICANT FIGURES"

LanguageCoverageLanguage Translations

Danish

ordbog, deskriptordefinition, oversættelsetanskalainen, danois, dänisch, δανικόσ, δανόσ, danese, dinamarquês, danés, dansk

Dutch

woordenboek, definitie, translatiehollandsk, hollantilainen, néerlandais, holländisch, ολλανδικόσ, ολλανδόσ, olandese, holandês, holandés, holländsk

Finnish

määritelmä, translaatio, taajuusmuutossuomi, suomalainen, finnois, Finlandaise, finlandais, finnisch, φινλανδικόσ, finlandese, finlandês, finês, finlandés, finés, finsk

French

dictionnaire, définition, traductionranskalainen, français, französisch, γαλλικόσ, γαλλική γλώσσα, γαλλίδα, γάλλοσ, francese, francês, francés, fransk, franska

German

wörterbuch, Übersetzungtysker, Duitse, saksalainen, allemand, deutsch, Deutsche, "ερμανός, tedesco, alemão, alemán, tysk

Greek

λεξικό, ορισμός, μετάφρασηgræker, kreikkalainen, grec, grieche, ελληνικόσ, 'Ελληνας, greco, grego, griego, grek

Italian

dizionario, definizione, traduzioneitaliener, italialainen, italien, italienisch, Ιταλός, italiano, italiensk, italienska, italienare

Portuguese

dicionário, definição, traduçãoportugiser, portugalilainen, portugais, portugiesisch, πορτογάλοσ, ορτογάλος, portoghese, português, portugués, portugis

Spanish

diccionario, definición, traducciónSpaans, espanjalainen, espagnol, spanisch, ισπανικά, ισπανικόσ, ισπανοί, spagnolo, espanhol, español, spanska språk, spansk

Swedish

ordbok, lexikon, definition, översättningZweeds, ruotsalainen, suédois, schwedisch, σουηδικόσ, σουηδικά, svedese, sueco, svensk

English

Dictionary, Definition, Translationenglantia, englantilainen, anglais, englisch, εγγλέζοσ, αγγλικόσ, inglese, inglês, inglés, engelsk
 


INDEX

1. Definition
2. Crosswords
3. Usage: Commercial
4. Images: Photo Album
5. Translations: Modern
6. Anagrams
7. Orthography
8. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.