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Chapter 1 Lesson4

You describe what math skills scientists use in collecting data and making measurements. You will identify the math skills scientists use to analyze their data. Chapter 1 Lesson4. ESTIMATION ACCURACY PRECISION SIGNIFICANT FIGURES REASONABLE ANOMALOUS DATA. Significant Figures. Physical Science.

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Chapter 1 Lesson4

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  1. You describe what math skills scientists use in collecting data and making measurements.You will identify the math skills scientists use to analyze their data. Chapter 1 Lesson4

  2. ESTIMATIONACCURACYPRECISIONSIGNIFICANT FIGURESREASONABLE ANOMALOUS DATA

  3. Significant Figures Physical Science

  4. What is a significant figure? • There are 2 kinds of numbers: • Exact: the amount of money in your account. Known with certainty.

  5. What is a significant figure? • Approximate: weight, height—anything MEASURED. No measurement is perfect.

  6. When to use Significant figures • When a measurement is recorded only those digits that are dependable are written down.

  7. When to use Significant figures • If you measured the width of a paper with your ruler you might record 21.7cm. To a mathematician 21.70, or 21.700 is the same.

  8. But, to a scientist 21.7cm and 21.70cm is NOT the same • 21.700cm to a scientist means the measurement is accurate to within one thousandth of a cm.

  9. But, to a scientist 21.7cm and 21.70cm is NOT the same • If you used an ordinary ruler, the smallest marking is the mm, so your measurement has to be recorded as 21.7cm.

  10. How do I know how many Sig Figs? • Rule: All digits are significant starting with the first non-zero digit on the left.

  11. How do I know how many Sig Figs? • Exception to rule: In whole numbers that end in zero, the zeros at the end are not significant.

  12. 7 40 0.5 0.00003 7 x 105 7,000,000 1 1 1 1 1 1 How many sig figs?

  13. How do I know how many Sig Figs? • 2nd Exception to rule: If zeros are sandwiched between non-zero digits, the zeros become significant.

  14. How do I know how many Sig Figs? • 3rd Exception to rule: If zeros are at the end of a number that has a decimal, the zeros are significant.

  15. How do I know how many Sig Figs? • 3rd Exception to rule: These zeros are showing how accurate the measurement or calculation are.

  16. 1.2 2100 56.76 4.00 0.0792 7,083,000,000 2 2 4 3 3 4 How many sig figs here?

  17. 3401 2100 2100.0 5.00 0.00412 8,000,050,000 4 2 5 3 3 6 How many sig figs here?

  18. What about calculations with sig figs? • Rule: When adding or subtracting measured numbers, the answer can have no more places after the decimal than the LEAST of the measured numbers.

  19. Add/Subtract examples • 2.45cm + 1.2cm = 3.65cm, • Round off to = 3.7cm • 7.432cm + 2cm = 9.432 round to  9cm

  20. Multiplication and Division • Rule: When multiplying or dividing, the result can have no more significant figures than the least reliable measurement.

  21. A couple of examples • 56.78 cm x 2.45cm = 139.111 cm2 • Round to  139cm2 • 75.8cm x 9.6cm = ?

  22. The End Have Fun Measuring and Happy Calculating!

  23. Understanding Significant FiguresSignificant figures | Significant figures | Khan Academy

  24. 1) 69.651 + 97.94 = _______ 2) 69.9 + 5.4 = _______ 3) 57.23 + 4.4 + 88.5 = ____ 4) 22.5732 - 5.7 = _______

  25. 1) 69.651 + 97.94 = 167.59 2) 69.9 + 5.4 = 75.3 3)57.23 + 4.4 + 88.5 =150.1 4) 22.5732 - 5.7 = 16.9

  26. 1) 410 ÷ 2.76 = __________ 2) 0.9 x 0.004 x 1000 = _____ 3) 6000 ÷ 5.5 = __________ 4) 2.13 x 58 = __________

  27. 1) 410 ÷ 2.76 = 150 2) 0.9 x 0.004 x 1000 = 4 3) 6000 ÷ 5.5 = 1,000 4) 2.13 x 58 = 120

  28. Percent Error

  29. Listen to the song Click below mean median mode SONG - Bing Videos

  30. 1) 7 , 8 , 9 , 6 , 4 , 6 , 2 , 7 , 5 Mean ____ Median ____ Mode ___________ Range ____ Mean 6 median 6 mode 6 7 range 7

  31. 2) 8 , 3 , 3 , 8 , 4 , 7 , 2 , 2 , 8 Mean ____ Median ____ Mode ___________ Range ____ Mean 5 Median 4 Mode 8 Range 6

  32. Reasonable and AnomalousData

  33. http://www.bing.com/images/search?q=sea+turtles+laying+eggs+in+florida&id=F75D6F8C412E7CCC7D0FDA883EF29920E4AB42B9&FORM=IQFRBA#view=detail&id=E2B5A721C8D12F290100F64549F12908C56F12D9&selectedIndex=13http://www.bing.com/images/search?q=sea+turtles+laying+eggs+in+florida&id=F75D6F8C412E7CCC7D0FDA883EF29920E4AB42B9&FORM=IQFRBA#view=detail&id=E2B5A721C8D12F290100F64549F12908C56F12D9&selectedIndex=13

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