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12.7 2 cm

12.7 2 cm. x 7.5 8 cm. What is wrong with these measurements and calculation?. 12.7 1 cm. Missing Estimate. ± Estimate. 12.7 2 cm. 12.7 cm. 12.7 3 cm. 7.6 cm. 7.5 7 cm. 7.5 8 cm. 7.5 9 cm. 96. 417 6 cm 2. 96. 41 8 cm 2. 12.7 cm. 96. 4 2 cm 2. x 7.6 cm. 3 S.F.

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12.7 2 cm

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  1. 12.72 cm x 7.58 cm What is wrong with these measurements and calculation? 12.71 cm Missing Estimate ± Estimate 12.72 cm 12.7 cm 12.73 cm 7.6 cm 7.57 cm 7.58 cm 7.59 cm 96.4176 cm2 96.418 cm2 12.7 cm 96.42 cm2 x 7.6 cm 3 S.F. 96.4 cm2 96.52 cm2 96. cm2

  2. REVIEW: How many Sig Figs? 3 4 3 2 1 4 4 6 1 (Infinite if counting) 5 • 2.83 • 36.77 • 14.0 • 0.0033 • 0.02 • 0.2410 • 2.350 x 10–2 • 1.00009 • 3 • 0.0056040

  3. Practice Rounding with Sig Figs 1.56 0.00374 1370 129,000 1.67 106 a) 1.5587 b) 0.0037421 c) 1367 d) 128,522 e) 1.6683 106 d) Your Final number must be of the same value as the number you started with, 129,000 and not 129. Is $129,000 the same as $129 ??? Make (round) the following into a 3 Sig Fig number

  4. Practice Rounding with Sig Figs Make (round) the following into a 4 Sig Fig number a) 4965.03  b) 780,582  c) 1999.5 • 4965 • 780,600 NOT 7,806 • or 2.000 x 103 Decimal is Present (from the left)  Remember : in scientific notation all digits are significant : 2.000 = 4 s.f.

  5. Calculating Sig Figs for MULTIPLICATION and DIVISION: Multiplication & Division = LEAST number of sig figs RULE 1. In carrying out a multiplication or division, the answer cannot have more significant figures than either of the original numbers. The product is limited to 3 sig figs

  6. Multiplication & Division = LEAST number of sig figs 11 cm2 1) 47.37 cm x 0.24 cm = 11.3688 cm2 4 s.f. 2 s.f. 1.1 x 101 cm2 347.8 m2 2) 126.46 m x 2.750 m = 347.765 m2 5 s.f. 4 s.f. 3.478 x 102 m2 10,000 m2 3) 51.3 m x 200 m = 10,260 m2 3 s.f. 1 s.f. 1 x 104 m2 7,300 km2 4) 61.00 km x 120 km = 7,320 km2 4 s.f. 2 s.f. 7.3 x 103 km2

  7. Multiplication & Division = LEAST number of sig figs Practice Problems: Round to the correct number of sig figs a) b) c) d) e) 49.7 46.4 .05985 1.586107 1.000 32.27  1.54 = 49.6958 3.68  .07925 = 46.4353312 1.750  .0342000 = 0.05985 3.2650106 4.858 = 1.586137  107 6.0221023 1.66110-24= 1.000252

  8. Calculating Sig Figs for ADDITION and SUBTRACTION: Addition & Subtraction = LEAST number of decimal places • RULE 2. In carrying out an addition or subtraction, the answer cannot have more digits after the decimal point than either of the original numbers.

  9. Addition & Subtraction = LEAST number of decimal places Round to the correct number of sig figs. 25.5 32.72 320 +34.270‑ 0.0049+ 12.5 59.770 32.7151 332.5 59.8 32.72 330 Look for the last important digit (with highest value)

  10. Addition & Subtraction = LEAST number of decimal places Round to the correct number of sig figs. HINT: Look for the last important digit (with highest value) a) b) c) d) .56 + .153 = .713 82000 + 5.32 = 82005.32 10.0 - 9.8742 = .12580 10 – 9.8742 = .12580 .71(hundredths place) 82000 (Thousands place) .1 0 What is the difference between these two values? • 10 • - 9.8742 • 0.12580 c) 10.0 - 9.8742 0.12580

  11. Mixed Order of Operation Multiplication & Division = LEAST number of sig figs Addition & Subtraction = LEAST number of decimal places 4 s.f. 8.52 + 4.1586  18.73 + 153.2 = (8.52+ 4.1586)  (18.73 + 153.2) = = 8.52 + 77.89+ 153.2 = 239.61 = 239.6 2180. 4 s.f. Tenths place = 12.68 171.9 = 2179.692 = 4 s.f. 4 s.f. 4 s.f.

  12. What is Density? Density = mass/volume Density is the amount of matter (mass) within a given space (volume) Mass = 4.62 g Volume = 2.0 cm3 Density = mass/volume Density = 4.62 g / 2.0 cm3 Density = 2.3 g/cm3 _1 What is Kelvin? Kelvin = °Celsius + 273 .15 Kelvin is SI unit for temperature. The Kelvin temperature scale takes “absolute zero” into account Kelvin = °Celsius + 273 Kelvin = 22.4 °C + 273 Kelvin = 295 °C Temp = 22.4 °C _.4

  13. 12.72 cm x 7.58 cm What is wrong with these measurements and calculation? 12.71 cm Missing Estimate ± Estimate 12.72 cm 12.7 cm 12.73 cm AREA = 96.2, 96.3, 96.4, 96.5, 96.6 7.6 cm 7.57 cm 7.58 cm 7.59 cm 96.4176 cm2 96.418 cm2 12.7 cm 96.41 cm2 x 7.6 cm 3 S.F. 96.4 cm2 96.52 cm2 96. cm2

  14. 4 s.f. 3 s.f. 96.2 cm2 96.3 cm2 96.4 cm2 Multiplication & Division = LEAST number of sig figs 96.3 cm2 96.5 cm2 96.4 cm2 96.5 cm2 96.5 cm2 96.6 cm2

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