Worksheet: Significant Figures in Calculations
1. Determine the number of significant figures in each of the following:
a. __________ 75.02mm
b. ___________ 0.0049 g
c. __________ 18.90 mL
d. ___________ 150 cm
e. __________ 12 test tubes
f. ___________ 150. Cm
g. ___________ 0.00456 mg
h. ___________ 107.20 mm
i. ___________ 1720 g
j. ___________ 3.03 x 10-1 kg
2. Re‐write the quantity 827,000,000,000,000 picoseconds to show:
a. 1 sig. fig. ________________________________
b. 2 sig. figs. _________________________________
c. 3 sig. figs. _________________________________
d. 4 sig. figs. ________________________________
e. 5 sig. figs. ________________________________
3. Rewrite the quantity 0.0031904 kg to show:
a. 1 sig. fig. _______________________________
b. 2 sig. figs. _______________________________
c. 3 sig. figs. _______________________________
4. Round each of the following to 3 significant figures:
a. 16.8477 L __________
b. 5.6732 m__________
c. 0.14986 L __________
d. 861.85 kg__________
e. 4.203 x 104 km _________
f. 5.0981 x 10-3g __________
g. 0.00318756 m __________
h. 0.0902501L ___________
5. Determine the uncertainty in each of the following:
a. __________ 75.02mm
b. ___________ 0.0049 g
c. __________ 18.90 mL
d. ___________ 150 cm
e. __________ 12 test tubes
f. ___________ 150. cm
g. ___________ 0.00456 mg
h. ___________ 107.20 mm
i. ___________ 1720 g
j. ___________ 3.03 x 10-1 kg
6. Complete the mathematical operations and round to the proper number of significant figures:
a. 31.06 m – 26.42 m = ____________
b. 5.058 g + 13.1 g = _______________
c. 15.2 L + 273.15 L = _____________
d. 87.54 cm – 83.2 cm = ____________
e. 76 s – 15.62 s = ________________
f. 1100 m + 110.5 m + 10.05 m = _________________
7. Complete the mathematical operations and round to the proper number of significant figures:
a. 176.3 m / 2.8 s = ______________
b. (0.00340 x 57.21)/(2.99 x 1.6) = _________________
c. 3.4 x 10-5/2.66 = ____________________
d. (65,000.0 x 2.311)/2.91 = __________________