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: