Range 2: If you measure 1.0 to 10 cm, the ruler provides you with two significant figures. %PDF-1.7 0000001212 00000 n 246.32 5 sig figs 107.854 6 sig figs 100.3 4 sig figs 0.678 3 sig figs 1.008 4 sig figs 0.00340 3 sig figs 14.600 5 sig figs 0.0001 1 sig fig 700000 1 sig fig 350.670 6 sig figs figs 2) Zeros in front of nonzero digits are not 198745 contains six significant digits. Any zeros between two significant digits are significant. The answer cannot contain More Significant Figures than the Number Being Multiplied or Divided with the Least Number of Significant Figures. Significant digits or figures are not something we make up to terrorize you all semester long. A. Study Guide for First Quarter Exam Chapters 2-6. 45 (2 sig. This the rules of significant figures A. 0000006576 00000 n 4 0 obj Significant figure rules for multiplication and division (a)(b) = c or a/b = c The correct total number of significant figures reported in the answer is equal to the number of significant figures in the 0000000016 00000 n 0000077117 00000 n 0000006554 00000 n Rules For Determining If a Number Is Significant or NotAll non-zero digits are considered significant. Zeros appearing between two non-zero digits (trapped zeros) are significant. Leading zeros (zeros before non-zero numbers) are not significant. Trailing zeros (zeros after non-zero numbers) in a number without a decimal are generally not significant (see below for more details). More items 0000056533 00000 n 0000052120 00000 n 443 0 obj <> endobj They will be used extensively throughout the remainder of this course. 0000008522 00000 n Any zeros between two significant digits are significant. Significant Figures Worksheet Key 1. Rules for Significant Figures (sig figs, s.f.) 460 0 obj <>/Filter/FlateDecode/ID[]/Index[443 31]/Info 442 0 R/Length 91/Prev 132748/Root 444 0 R/Size 474/Type/XRef/W[1 3 1]>>stream Non-zero digits are always significant. 2. 0000006869 00000 n All non zero numbers are significant (meaning they Non-zero Significant Figure Rules.pdf - endobj 0000008500 00000 n Benefits of Significant Figures Worksheets 0000003212 00000 n Signicant Figure Rules There are three rules on determining how many signicant gures are in a number: 1. (2) Zeroes <> 0000009746 00000 n 0000004322 00000 n Zeros in the middle of a number are View Untitled document-2.pdf from ENGL 011 at Wichita State University. 0000074232 00000 n (6.10 10 3) (2.08 10-4) = 1.27, reported to three significant figures b. 0000004533 00000 n 0000001131 00000 n 0000005885 00000 n For example, a cheap bathroom scale bought at the dollar store reads your weight as 152 pounds, not 152.45809 pounds. 6 0 obj <> endobj 0.032 has two significant figures. endstream endobj 444 0 obj <>/Metadata 37 0 R/OpenAction[445 0 R/XYZ null null null]/Outlines 47 0 R/PageLabels 439 0 R/PageMode/UseNone/Pages 441 0 R/PieceInfo<>>>/StructTreeRoot 56 0 R/Type/Catalog>> endobj 445 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/XObject<>>>/Rotate 0/StructParents 0/Type/Page>> endobj 446 0 obj <>stream xb``P```1d P30pVbe~F&aF&UV'% z1hv 0000052591 00000 n There are three rules on determining how many significant figures are in a number: 1. endstream endobj startxref 350. has three significant figures. 4. 2. Q. 117 0 obj <> endobj figs.) answer choices. 0000007219 00000 n significant_figure_rules.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Rules for Significant Figures All non-zero digits are significant. 0000002642 00000 n 2. 0000020728 00000 n %PDF-1.3 % (It is also 4.11 10-5.) 136 0 obj <>/Filter/FlateDecode/ID[]/Index[117 35]/Info 116 0 R/Length 90/Prev 296910/Root 118 0 R/Size 152/Type/XRef/W[1 2 1]>>stream - Free download as PDF File (.pdf), Text File (.txt) or read online for free. =iYmX4 b`i Know the rules b. Adding/Subtracting c. 0000035088 00000 n 10 0 obj <> endobj 0000009105 00000 n 37 0 obj <>stream 0000002280 00000 n 0 To determine the number of significant figures: o All nonzero digits are significant. 0000005030 00000 n Focus on these rules and learn them well. W b endstream endobj 478 0 obj 329 endobj 443 0 obj << /Type /Page /Parent 439 0 R /Resources << /ColorSpace << /CS3 447 0 R /CS4 450 0 R /CS5 452 0 R >> /ExtGState << /GS2 473 0 R /GS3 472 0 R >> /Font << /TT2 446 0 R /TT3 449 0 R >> /XObject << /Im1 475 0 R >> /ProcSet [ /PDF /Text /ImageC /ImageI ] >> /Contents [ 454 0 R 456 0 R 458 0 R 460 0 R 462 0 R 464 0 R 466 0 R 468 0 R ] /MediaBox [ 0 0 612 792 ] /CropBox [ 0 0 612 792 ] /Rotate 0 /StructParents 0 /Annots 444 0 R >> endobj 444 0 obj [ 445 0 R ] endobj 445 0 obj << /Type /Annot /Subtype /Link /Rect [ 100.92004 649.89618 362.66782 665.66394 ] /Border [ 0 0 0 ] /H /I /A 476 0 R /StructParent 1 >> endobj 446 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 122 /Widths [ 250 0 0 0 0 0 0 0 0 0 0 0 250 333 250 0 500 500 500 500 0 0 0 0 0 0 333 0 0 0 0 500 0 722 0 722 722 667 611 0 0 389 0 0 667 944 722 778 0 0 722 556 667 0 0 1000 0 722 667 0 0 0 0 0 0 500 556 444 556 444 333 500 556 278 0 0 278 833 556 500 556 0 444 389 333 556 500 722 500 500 444 ] /Encoding /WinAnsiEncoding /BaseFont /ACHBGK+TimesNewRoman,Bold /FontDescriptor 451 0 R >> endobj 447 0 obj [ /ICCBased 471 0 R ] endobj 448 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 34 /FontBBox [ -568 -307 2000 1007 ] /FontName /ACHBBI+TimesNewRoman /ItalicAngle 0 /StemV 94 /XHeight 0 /FontFile2 470 0 R >> endobj 449 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 247 /Widths [ 250 333 408 500 500 0 0 180 333 333 0 564 250 333 250 278 500 500 500 500 500 500 500 500 500 500 278 278 0 564 0 444 0 722 667 667 722 611 556 722 722 333 0 722 611 889 722 722 556 0 667 556 611 722 0 944 0 722 611 0 0 0 0 0 0 444 500 444 500 444 333 500 500 278 278 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 549 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 549 ] /Encoding /WinAnsiEncoding /BaseFont /ACHBBI+TimesNewRoman /FontDescriptor 448 0 R >> endobj 450 0 obj /DeviceGray endobj 451 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 34 /FontBBox [ -558 -307 2000 1026 ] /FontName /ACHBGK+TimesNewRoman,Bold /ItalicAngle 0 /StemV 160 /XHeight 0 /FontFile2 469 0 R >> endobj 452 0 obj [ /Indexed 447 0 R 255 474 0 R ] endobj 453 0 obj 582 endobj 454 0 obj << /Filter /FlateDecode /Length 453 0 R >> stream (1.234 has 4 sig figs) o Zeroes between nonzero digits are significant. Open navigation menu. There are three rules on determining how many significant figures are in a number: 1. *7|QXTy[nM1YDsDdo7rqAW9C.?Qu]R?jREP@"7NGPF'Kb'~P,SdJsh E1_s0'"xjA(h*\ Zeros between two 440 0 obj << /Linearized 1 /O 443 /H [ 1625 459 ] /L 173435 /E 78603 /N 10 /T 164516 >> endobj xref 440 39 0000000016 00000 n Include 4 points of additional detail (4 marks) regarding 2.2. Significant Figure Rules Provided by the Academic Center for Excellence 1 Reviewed April 2008 Significant Figure Rules Determining Number of Significant Figures (Sig Figs) 1) All non-zero A 3J A Non-zero digits are always signicant. 0000021014 00000 n 0000002574 00000 n 103 and 1.03 have 3 sig. 0000004267 00000 n % 300 seconds. All non-zero digits are always significant. All non zero numbers are significant (meaning they count as sig figs) 613 has three sig figs 123456 has six sig figs 2. 0000051853 00000 n 0000007865 00000 n 0000004297 00000 n Any zeros between two significant digits are significant. 0000002543 00000 n All nonzero digits are significant. 0000011475 00000 n Multiplication and Division A product or quotient contains the same the number of significant figures as the measurement with the least number of significant figures. %%EOF 0000001466 00000 n '"cq|yy@_G\h 0000077698 00000 n 0000005907 00000 n 4.00 has three significant figures. xref h[o0[M 10-3.4 = 0.0004 -3.4 contains only one significant figure after the decimal place, so the answer should be reported to only one significant figure. hVmo8+jNU%^ Significant figures a. 3. endstream endobj 118 0 obj <> endobj 119 0 obj <> endobj 120 0 obj <>stream significant figures in the measurements. Example: 4.79 has three significant figures. 0000003253 00000 n RULES FOR SIGNIFICANT FIGURES 1. endobj Various conventions exist to address this issue:A bar may be placed over the last significant figure, showing that any trailing zeros following this are insignificant. The last significant figure of a number may be underlined; for example, 2000 has two significant figures.A decimal point may be placed after the number. More items 0000002062 00000 n Non-zero digits are significant unless indicated otherwise (for instance see 8. below). 0000005469 00000 n hb``e``2` Y8x!*#oG)2ul5 l PHYSICS ( 9702) Rules. nC tIHpy. 0000002084 00000 n $Uqa[)D.Y{:4lBjK4e"pdBm!o. Any zeros between two signicant digits To round to a significant figure:look at the first non-zero digit if rounding to one significant figurelook at the digit after the first non-zero digit if rounding to two significant figuresdraw a vertical line after the place value digit that is requiredlook at the next digitif it's 5 or more, increase the previous digit by oneif it's 4 or less, keep the previous digit the sameMore items A. hbbd```b``V`DH>]f`,bf'H|H2x$6hE 0s5 startxref %PDF-1.5 % 40 0 obj <>stream Rules for Significant Figures (sig figs, s.f.) A = 10B The correct total number of significant figures reported in A is equal to the number of significant figures in B after the decimal place is. Open navigation menu The number 33.2 has THREE significant figures because all of the digits present are non-zero. 2. Significant figures The rules for significant figures can be summarized as follows: 1. 3. It is not that accurate. 0000001625 00000 n t?}OHQPF|79L#Tei$d`\ hQVA`"quQTNbkg^CAbkvH-x.*h F"J)|5NMMU%8'PlWeCV*:msi? Any zeros between two significant digits are significant. Significant Figures Scientific measurements are reported so that every digit is certain except the last, which is estimated. trailer 2. 0000003483 00000 n 0000001631 00000 n endstream endobj 7 0 obj <> endobj 8 0 obj <> endobj 9 0 obj <>/Font<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 10 0 obj <> endobj 11 0 obj <> endobj 12 0 obj <> endobj 13 0 obj [/ICCBased 25 0 R] endobj 14 0 obj <>stream They represent the accuracy of a measurement. 0000005301 00000 n 0000076910 00000 n +XuB[-Y-^T1QqTKP7P!%\=@Ub`+.s0lH:q$| Calculate 923 g 20312 cm 3 and give your answer with the correct number of significant figures. 2. 1.54 (3 sig. 0000009127 00000 n >u\>U$.[`=.weW)*`;vX=yJV*,sEQTn)$hxU~ -Z_ 0000007564 00000 n 3. (1.02 has 3 sig figs) o Zeroes to the left of the first nonzero digits are not significant. 473 0 obj <>stream %%EOF 0000007843 00000 n 2. stream BQ_tQCPh2g9={T0" 1V._`c cdFCaCr`&Lbx`L%c/. 0.045 g/cm 3. 4aL~'Lh3vP,eHzne(1:f'8$ZP{8^=gyP+h^G8 8J}T?YPR-7>QMxOTAN$a4Trp7.;W+m]0*$N*N1Ni8/&oQm/O Significant figures worksheets help students to apply appropriate rules to identify and find the number of significant digits in whole numbers and decimals. For example, Zeros between two non-zero digits are %%EOF 0000056763 00000 n 0000004607 00000 n You would be well advised to do as many problems as needed to nail the concept of significant figures down tight and then do some more, just to be sure. 25 0 obj <>/Filter/FlateDecode/ID[<90BE5F8B95DEFB4B568599C5844F3F8C><7C6118CC52437E4BA561B0F5B653E655>]/Index[10 28]/Info 9 0 R/Length 80/Prev 15446/Root 11 0 R/Size 38/Type/XRef/W[1 2 1]>>stream 0000003098 00000 n For example, for serum Na, if the SD is 0.7 mmol/L but > 0.07 mmol/L, report to the nearest 0.1 mmol/L. <<9984F77A2A28884A9CA3B8D011FEAB9F>]>> 0000020247 00000 n HlO sfc Gq6=xJlOnTbB7{g/>4CHtakKs*8E8]QCs). Significant digits are very important in all measurements. %%EOF 0.0000411 has three significant figures. Example: 23.123123 1.3344 ----- 30.855495 30.855 23.123123 (8 significant figures) (5 significant figures)1.3344 30.855495 (on calculator) 30.855 (rounded to 5 significant figures) There are three rules on determining how many significant figures are in a number: 1. The more place values, the greater the certainty in the accuracy of a measurement. %PDF-1.5 % 0.0454 g/cm 3. figs.) Non-zero digits are always significant. Zeros at the end of a number are significant if the number contains a decimal point. ^)$((T2=33\#(x^$(H1QFD"(F#AN# `$A,_?AbSk`. %PDF-1.3 % ;cVq\1/WA=_u6({%1q SQp]I&B7[Rm1Sv*u>HT3S <>/Metadata 231 0 R/ViewerPreferences 232 0 R>> 0000004585 00000 n 0000001486 00000 n Scribd is the world's largest social reading and publishing site. A. Rules for deciding the number of signicant gures in a measured quantity: (1) All nonzero digits are signicant: 1.234 g has 4 signicant gures, 1.2 g has 2 signicant gures. 151 0 obj <>stream 0000052342 00000 n Focus on these rules C(` ; Scribd is the world's largest social reading and publishing site. 0000077196 00000 n <> All non-zero numbers ARE significant. trailer << /Size 479 /Info 437 0 R /Root 441 0 R /Prev 164505 /ID[<0c93c74295ed0a10724e6842595b75d0>] >> startxref 0 %%EOF 441 0 obj << /Type /Catalog /Pages 439 0 R /Metadata 438 0 R /Outlines 44 0 R /OpenAction [ 443 0 R /XYZ null null null ] /PageMode /UseNone /PageLabels 436 0 R /StructTreeRoot 442 0 R /PieceInfo << /MarkedPDF << /LastModified (D:20040225113740)>> >> /LastModified (D:20040225113740) /MarkInfo << /Marked true /LetterspaceFlags 0 >> >> endobj 442 0 obj << /Type /StructTreeRoot /RoleMap 53 0 R /ClassMap 56 0 R /K 378 0 R /ParentTree 418 0 R /ParentTreeNextKey 12 >> endobj 477 0 obj << /S 245 /O 357 /L 373 /C 389 /Filter /FlateDecode /Length 478 0 R >> stream When explaining how Significant Figures work, discuss the importance of the number of place values in a measurement. All digits of a measured quantity, including the certain one, are called significant figures. Read from the left and start counting sig figs when you encounter the first non-zero digit 1. 0.05 g/cm 3. 0000008195 00000 n 0 <>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> 0000005291 00000 n Read from the left and start counting sig figs when you encounter the first non-zero digit 1. 0000057255 00000 n 2. dPpI2@o&*ckh`nX6|!_?IjQsba3_ ?p?Mn;Z'u0?@Ur; mc^7av Dnb0/ h'fQ5mz(|c, c @q?` 49x"c $+b]`Q@$Hr&F,#E a< 2. All non zero numbers are significant (meaning they endstream endobj startxref A final zero or trailing zeros in the decimal portion ONLY are significant. 3. Rules for Significant Figures (sig figs, s.f.) Question 13. Ex. "J> Zeros located between non-zero digits are significant (they count) Ji5lxHH!A+sH2iOsu0"''! hbbd``b`*~@q3` [$A) BqbX ma@v4?o M Read from the left and start counting sig figs when you encounter the first non-zero digit 1. The rules for deciding the number of significant figures are: 1. All non zero numbers are significant (meaning they significant_figure_rules.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Significant Figure Rules Provided by the Academic Center for Excellence 1 Reviewed April 2008 Significant Figure Rules Determining Number of Significant Figures (Sig Figs) 1) All non-zero x]Ys6~x20qJkd$XH/I_4(SMERFwh`iro.|zMqk)+SuW4_M;D(Lh,%IiD$M}{[F' @PS_Ud~K_}\__^GAs:CkDD&qP)v\G$i Q. endstream endobj 11 0 obj <> endobj 12 0 obj <> endobj 13 0 obj <>stream .AkU*~?^8?bH"oxOUR)3:_EX5!|#W.qq. how to solve Physics P-3 question one and two. hb```b``a`a`` @qg;+T_0Pva 9\36!jj#rtA(lh` !f,i_ {CFFn0fx*an-30 $U>B=@>Y 7kVg`:Q(` 5 Indicate how many significant figures there are in each of the following measured values. 0000005269 00000 n 1.30 has three significant figures. 0000005170 00000 n For example, Hawkins and Johnson suggested that a simple rule of thumb to use for choosing the appropriate number of significant figures was that the SD should be 0.7 of the unit of reporting. Hb```f``d`c``} @QQaYr %mhn@xDDv{J8U0E&1r@sr2Oi=pB4{enl81M}N #;::dbr lQ@ Non-zero digits are always significant. 0 Range 3: If you H|Tn0B6U3aLd h!5$V7^'\_;pss{z~PB_*M1vMe+-Ke=?)q1qhy}m-EGOhe?ci$;_%QDKK. 2. hb```f``rg`e`` ,@Q/i*Wz,. 0000007197 00000 n Non-zero digits are always significant. A g_bqX)Aa"&Xa&T 3q*9m`DChgP9t&_'9J 3. endstream endobj 14 0 obj <>stream 6 35 endobj 0000008782 00000 n Read from the left and start counting sig figs when you encounter the first non-zero digit 1. 0000078189 00000 n It may be written as 3.2 10-2. /RS'WjSff! With the help of significant figures worksheets, students can measure their ability to identify significant numbers in a digit. EXAMPLES: a. 1 0 obj Counting Significant Figures Examples 1. 0.04 g/cm 3. @q+ `1.0b` q8G1&C Mz1WNKW{Nb`@&04730UL@u@a E 0000020513 00000 n 0000000996 00000 n 2. Range 1: If you measure 0.1 cm to 1 cm, the ruler provide you with one significant figure. 0000002735 00000 n Determining the number of significant figures in a measurement: 1. 0000057511 00000 n 0000001289 00000 n 0000006187 00000 n 0000003063 00000 n All zeros that occur between any two non zero digits are significant. with two significant figures after the decimal place. Rules for Significant Figures - Read online for free. hbbd``b`! 1. endstream endobj startxref hTmo0+ikI H0yY:Lc% X9Yq6uQTk3v.MK+T)?*T Up1&$ 60cS%xfFNnPvf5a=(H{W] F\ 9Ftd6l=ny }v`dumUhGmZos~ vP''ev>Qx#Bh-F$#FSSPNe:DDa$T0AI\5/18VM gCX,hsAa8,@b/*2GT;8y&dyRP lC9r'. 0000056968 00000 n A final zero or trailing zeros in the decimal portion ONLY are significant. 3 0 obj A Rules for Significant Figures (sig figs, s.f.) 2 0 obj You can count the number of Significant figures from these rules:All the reported non-zero numbers in a measurement are significant. 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