Extra Sig Fig Practice Sample Problems How many significant figures

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Extra Sig Fig Practice ROUNDING RULES TO REMEMBER Look at the digit to the RIGHT of your last significant figure to round off ( all examples are being rounded to three sig. figs) 1.

# greater than 5 ----- increase the sig fig by 1 (42.68 g = 42.7 g)

2.

# less than 5 ---sig fig stays the same (17.32 m = 17.3 m)

3.

If # IS 5, followed by a NON-ZERO digit ---increase sig fig by 1( 2.7851 cm = 2.79 cm)

4.

If # IS 5, preceded by an ODD digit ---- increase by 1(4.635 kg = 4.64 kg)

5.

If # IS 5, preceded by an EVEN digit—stay the same(78.65 ml = 78.6 ml)

Sample Problems How many significant figures does each of the following contain? 1. 5400 km

7. 40. L

2. 456.78 mg

8. 0.041 cg

3. 4.03 m

9. 65 000 g

4. 8050 mg

10. 1.90 x 104 mg

5. 4.00 mm

11. 0.00010 mm

6. 400 mL Perform the calculation and round to the correct number of significant figures 11. 55.43 mg + 44.333mg + 5.31mg + 9mg

16. 17.12 cm + 3400 cm =

12. 890 m + 90.12m + 890.8m m=

17. 35.010 g / 1.23 cm3 =

13. 6900 cm – 45.44 cm =

18. 1200 mm – 62.5 mm =

14. 343.4 g / 6 ml =

19. 0.1700 cm x 1600 cm x 19 cm=

15. 0.000000003 mm x 30.03030mm =

20. 15.05 g + 0.0044 g+ 12.34g=

Determine the number of significant digits in each of the following: 2330 cm

8.701 °C

1,843.02 L

0.5000 Ml

2.00 km

365.00 kg

0.0001010450 sec

2000.12 mm

3.65 kg

704,000 h

Report answers to the following using proper significant figures:

11. 3.414 s + 10.02 s + 58.325 s + 0.00098 s

12. 2.326 h – 0.10408 h

13. 10.19 m x 0.013 m

14. 140.01 cm x 26.042 cm x 0.0159 cm

15. 80.23 m / 2.4 s