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Friday Sept 7th

Friday Sept 7th. Grab a calculator Warm up for today: Finish problems 6-10 on the back of the dimensional analysis paper from yesterday. Significant Figure Review Goal: Students will know how to round all mathematical answers to be as specific as the given amount.

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Friday Sept 7th

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  1. Friday Sept 7th • Grab a calculator • Warm up for today: • Finish problems 6-10 on the back of the dimensional analysis paper from yesterday

  2. Significant Figure ReviewGoal: Students will know how to round all mathematical answers to be as specific as the given amount

  3. Rules for Significant Figures • Nonzero numbers are ALWAYS significant. 1287 g 78,483 cm 58 mL 638 mol = 4 Sig Figs = 5 Sig Figs = 2 Sig Figs = 3 Sig Figs

  4. Rules for Significant Figures • Zeros in-between nonzero numbers are ALL significant. 101 mol 20,375 cd 1001 J 908 s = 3 Sig Figs = 5 Sig Figs = 4 Sig Figs = 3 Sig Figs

  5. Rules for Significant Figures • Zeros after nonzero numbers (trailing zeros) WITH A DECIMAL PRESENT are significant 6.0 mg 678.10 Kg 80.0 m 12.00 mL = 2 Sig Figs = 5 Sig Figs = 3 Sig Figs = 4 Sig Figs

  6. Rules for Significant Figures • Zeros in front of nonzero digits (preceding zeros) are not significant. They are called place holders. 0.78 Kg 0.0309 cd 290 amp 300 s = 2 Sig Figs = 3 Sig Figs = 2 Sig Figs = 1 Sig Figs

  7. Rules for Significant Figures • Counting numbers and defined constants have an infinite number of significant figures. 1 dozen = 12 78 pencils 32 books 1 pair = 2 = Infinite Number of Sig Figs = Infinite Number of Sig Figs = Infinite Number of Sig Figs = Infinite Number of Sig Figs

  8. Zeros that are significant. = 3 Sig Figs 202 cm 510002 L 144.0 kg 670.00 cd = 6 Sig Figs = 4 Sig Figs = 5 Sig Figs

  9. Zeros that are NOT significant, PLACE HOLDERS. = 1 Sig Figs 50 g 0.0072 m 0.0321 J 9000 L = 2 Sig Figs = 3 Sig Figs = 1 Sig Figs

  10. Zeros that are significant (called Trailing) and zeros that are not significant (call Place Holder). 80020 s 0.00401 kg 0.03020 Amp 10230 L = 4 Sig Figs = 3 Sig Figs = 4 Sig Figs = 4 Sig Figs

  11. Making Calculations with Significant Digits • Multiplying and Dividing The final answer is rounded to have the same number of significant figures as the measurement with the least number of significant figures. 755 cm x 33 cm = 24915 92 m x 20 m = 1840 25000 cm2 2000 m2

  12. 0.45g 150 0.894 g / 2.0 g = 0.447 g 40.0 x 3.8 = 152 203 x 4589 = 931567 10259 / 789 = 13.00253485 96.0 / 75.0 = 1.25 101 x 0.020 = 2.02 932000 13.0 1.25 2.0

  13. 120.60 89.001 6.3 215.901 + Making Calculations with Significant Digits Adding and Subtracting The final answer is rounded so that it has the same number of digits past the decimal as the measurement with the least number of digits past the decimal 215.9

  14. 756.05 23.02 733.03 9.002 2.32 45.659 56.981 − + 733.03 56.98

  15. 45 32.5 12.5 − 13

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