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each interval, the estimated value would be made in the hundredth (0.01) place of a number. Therefore, in the examples above, all the digits in the measurements are significant quatres sus furtt stipit ar sarupt tuos dup2 - ↳ Including the last example, 3.0 cmentadtru allibida Couplemu). -The value of 0 in tenth place, is a part of the measurement that is estimated. Lennuper Horn • preu qurbaithe | firkko A So it should read 3.0 cm, NOT 3 cm. v pribbon rady - from Ampie 35 vadkower arrib? gott svar klund? So, How can we determine the significant figures: Rules 1. All non-zero digits are always significant paris 3 Dare 2. Zeros(s) at the end of a number, AFTER a decimal point is and always significant much in vodo aut top ligge & and bakes- 3. zero (s) between any significant figures are always significant. Above digits are a PART of measurement, therefore, always significant. 4. Zero(s) at the end of a number, Before a decimal point is NOT significant Saya tamdiapiz çois iputina | Tinylgultati sā 25. Zero(s) infront of a number is NOT significant THE Above zero(s) are PLACEHOLDERS, therefore NOT significant.com fuade 12.50 pillem boll) 25 FH = LETTX (B/S / X3 Practice: Underlined digits are significant ant vouawall 1. 345 = 3 significant figures in muni famidiapiz & 2nd 02:0 - 2.0.00 9300-4/Significant figures incurry blunda yawarin auth 3. 120,000 = 2 Significant figures 154 varu SH = ETIRAS 4. 37.500=5 significant figures (IOR 488=8[P\x3 5, 101,000 = 3 significant figures. 6. 2,000 = 1 significant figuresavtal 7. 2,000. = 4 significant figures you swall 8.37,500=3 Significant figures. 9. 21,001 = 5 significant figures. 10.10.2000 b significant figures. * Remember Zero (s) that act ONLY as a placeholder = NOT significant figures (NOT a part of a measurement) استفد n Tartus = 41|0018 DEA 2002 = OHTLOS 1. Functions with Significant Figures svado esternors adl a lavicall - Significant figures are digits that are certain and 1 estimated (uncertain) which is in the last place value lors dent sit pabukai * ei fodt trams weder soll to fang o el pla offood ono to suloy salt- batorutes A. Adding | Subtracting using significant figures: - when adding or subtracting Significant figures, the answers Should have the same number of significant figures as the one with LEAST after a decimal point framtrapie art accorretab sur was watt, of Ex. 23.459 +2.23 =25.689 (Normally) elinib aressora IIA I 4 • However, the correct answer using significant figures is 25.69. -23.459 has 3 significant figures after a decimal point and 2.23 has 2. Significant figures after a decimal point. So the answer should have ONLY 2 Significant figures after a decimal pointTRAY sro climb suda TOM or tong tomosh is avotså, vadovun is to has art to (alovas.t famodiapie B. Multiplying / Dividing using significant figures: - when multiplying or dividing significant figures, the answers should have the same number of significant figures as the one with LEAST. Ex-2.50 x 17.3= 43.25 (Normally) → However, the correct answer using significant figures is 43.3 -2.50 has 3 significant figures and 17.3 also has 3 significant figures. So the answer should have 3 significant figures as well H= ODEPOOD S Ex. 2.5 x 17.343 wheregs 2.500 X 17.30 43 25 00 ONE Ex. 9/3=3 but 9.0/3.0 = 3.0 and 900 / 3.00 = 3.00:00 E P Tempů domůrna: 815 000, 101 However, the correct answer is 2.1. However, the correct answer is 2.14. -Exund fansânyarə § Qtuallë 129-juil. dopréenne 2 = 100,18 P avand for Anne Joos 01.0 (farmamento day to Tad) asopi - Also 3.00|1.4 = 2.142857. 3.00 11.40 = Same Operation using sig fig... (A) Add / Subtract using sig fig (only consider the digits after a decimal point) smlov vam samo to skuthami Answer should have the same # of Sig fig as the one with the least AFTER a decimal point... suga pitgras to tulionio: B) Multiply | Divide using sig fig (all the digits) the least. Answer should have the same # of sig fig as the one with 5218VZW 4-Example A) pliens • Subtract: Sphizimb stolictos si al wat mil > Example B) 75 3.4 •Division: 48.8359.1 = 39.735 = 39.7023 101.12-98.7 2.42 = 2.4 + 1000 8.2: 121.95122 = 100 wo 00.5 p0.15 : tosidi • Add : ↓ 19.88.75 + 11 = 22.05 = 22 ↓ 24.5764-19833= 22.5931= 22.5931 45.758 33.22: 12.538 = 12.54 4 all his birked sitt af squenam * 1.0 to (nuvsto] - (biloaz) + 3.4 x 10" = 210 20px fooxfoliu? - (himpil) * +164 +22.0 = 61.4 = 61 8.31 +7.29.4626= 24.9726 = 25.0 10/4/21 3.94 68.77+ 83.197 = 155.907 = 155.91 * 4.337+84.7128= 89.0498 = 89.050 35.6 +56:27= 91.87 = 91.9 • Multiplication bimpi ataw N²x6x 0.30-18:2 500.555.11 97.9549902 = 98.00.004 x 5280=21:12 = 20 204.17 3.2= 63.803125-64 8088 x 0.43235.2 = 30000 8000÷9.7-824.742268 = 800 131.66 0.02= 1583 = 2000 10.0× 0.02 = 0.2 = 0.2 12.4 12.8 x16=2539.52 = 2500 RULE 1: If the decimal is Present: Find the first non-zero on the left, then count all digits to the RIGHT If the decimal is Absent: Find the first non Zero on the right, then count all digits to the LEFT RULE-2: Every digit in scientific notation is significant bietombero RULE-3: Any number that is counted is an EXACT number and has UNLIMITED Significant digits asrupt toppitumpic stram Aim: How do we compute using Sig fig? bumayhearen ab sou résily” gemary has stovisan Are I. Significant in a measurement that we known the certanty + one estmated digitasmuragis set to 22andvisvos form allide (3* strusimustery to asawah provenany to matstural (5 II. To determine Sig fig #tastisenara on asulay gift gricours at 1) all nonzero #'s → Signifant was provisidan volen TMADIGINALS * 2) zero ( part of measurement) → Significant sal Zero at the end of a#, after a decimal point ex) 120.0 AT sebinZero in between sig fig ex) 101, 400 wall us fin unte for "Zero at the end of a #, before a visible decimal point ex. 120hp 3) zero (place holder) • Not significant aplov batomatas so brin • Zero infront of a #, before a decimal point ex) 120,000 ms ap 120. 12.0 Place holder "not a placeholder • HA thousand adding / subtraction sig fig. 2.12+4= 6.12 b ↑ not this bol.12 + 4.0 = 6.12=6.1 hundredths 78 79 125 thousand / tens tenths thousandths hundred ones 193 real answer answer adi to asmoa zunzile suloy katormtas sills dipih bodocidas funt to qulov mig sel * answer → same # of sig fig as the one with least after a decimal point to (11) affust silt on sheen ad blow saloy Listrades I don's rigourtand I'll to straimusto and fasmadzor on H anato (13.0) Alark and not a short so blous auhiy Esterulas 10.1.21