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Significant Figures Worksheet Determine the number of ... - Library

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Name _______________________<strong>Significant</strong> <strong>Figures</strong> <strong>Worksheet</strong><strong>Determine</strong> <strong>the</strong> <strong>number</strong> <strong>of</strong> significant figures in <strong>the</strong> following measurements. All digits aresignificant except for place holding zeros are NOT significant.1. 0.02 _______1_____ 6. 5,000.0 ______5___ 11. 1,020 ______4___2. 0.020 ______2_______ 7. 5,000. _____4_______ 12. 0.0010 _____2______3. 501 _______3_______ 8. 6,051.00 _____6______ 13. 4,200 _____2_____4. 501.1 ______4_______ 9. 0.1020 ______4_______ 14. 4,200. _____4_____5. 5, 000______1________ 10. 0.0005 ____1_____ 15. 4,200.0 ____5_____Round each <strong>of</strong> <strong>the</strong> following <strong>number</strong>s to three significant figures16. 80,412 _______80,400_____ 21. 310, 554__311,000_______17. 0.003299 ______0.00330_____ 22. 1.29532 ____1.30______18. 30,936,300 ___30,900,000_____ 23. 19.39 ____19.4________19. 3.004 X 10 5 _____3.00 X 10 5 _______ 20. 5, 999 ____6.00 X 10 3 __________20. 2.9999 X 10 -9 _____3.00 X 10 -9 ____ 21. 1,296,423 ___1.30 X 10 6 _________When adding and subtracting measurements, <strong>the</strong> answer must be rounded to report <strong>the</strong> samedegree <strong>of</strong> accuracy as <strong>the</strong> LEAST accurate measurement (Look at <strong>the</strong> decimal places)Round all answers to <strong>the</strong> correct <strong>number</strong> <strong>of</strong> significant figures. Include units in your answers!22. 12.01 mL + 35.2 mL + 6 mL = ___53 mL_______23. 55.45 g – 28.9 g = _____26.6 g___________24. 0.15 cm + 1.15 cm + 2.051 cm = _____3.35 cm__________25. 505 kg – 450.25 kg _______55 kg______


When multiply or dividing measurements, <strong>the</strong> answer must be rounded to <strong>the</strong> same <strong>number</strong> <strong>of</strong>significant figures as <strong>the</strong> measurement with <strong>the</strong> least <strong>number</strong> <strong>of</strong> significant figures.Round all answers to <strong>the</strong> correct <strong>number</strong> <strong>of</strong> significant figures. Include units in your answers!26. 1.35 m X 2.467 m = ___3.33 m 2 __________27. 1, 035 m 2 / 42 m ________25 m_______28. 0.021 cm X 3.2 cm X 100.1 cm = _____6.7 cm 3 ________29. 150 L 3 / 4 L = ______37.5 L 2 _________30. 1.252 mm X 0.115 mm X 0.012 mm = _____0.0017 mm 3 __________32. What is <strong>the</strong> difference between an exact <strong>number</strong> and a measured <strong>number</strong>? Give oneexample <strong>of</strong> each.Exact <strong>number</strong>s have an infinite <strong>number</strong> <strong>of</strong> significant figures. There is no uncertainty. Countedobjects (6 atoms) and some unit conversions (12 inches = 1 foot), are examples <strong>of</strong> exact<strong>number</strong>s. Measured <strong>number</strong>s always have some degree <strong>of</strong> uncertainty. The last <strong>number</strong> reportedis always an estimate, or “best guess”. The <strong>number</strong> <strong>of</strong> digits reported (or significant digits) isdetermined by <strong>the</strong> precision <strong>of</strong> <strong>the</strong> measuring device. An example <strong>of</strong> a measured <strong>number</strong> is 13.6cm. This measurement is interpreted as “a measurement between 13.5 cm and 13.7 cm”.

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