Rounding Rules
Keep the last significant figure digit the same and do not round up if the number after is...
less than five
0.003010
4
4300.20 - 2030.00 =
2270.20
172
1.72 x 102
3.69 x 10-2
0.0369
What unit would you have for an answer for the following equation:
5.2 cm x 9.003 cm =
cm2
Round the last significant figure digit up if the number after is...
equal to or greater than five
10400
0.302 + 278.8 =
279.1
0.502
5.02 x 10-1
1.56 x 104
15600
What unit would you have for an answer for the following equation:
3.4 m / 2 s =
m/s
Round 1.95 to two significant figures
2.0
How many significant figures are in the following number:
2.00 x 107
3
0.0034 x 189.9 =
0.65
123,453
1.23453 x 105
3.90 x 10-1
0.390
What is the formula for density?
Density = mass / volume
Round 77.0653 to three significant figures.
77.1
How many significant figures would the answer to the following equation have?
(4.5 + 9.12) / 3.010
4 (4.525)
(4.4 x 107) / (2.25 x 103)
2.0 x 104
0.00982
9.82 x 10-3
736.9 x 105
73690000
Define accuracy and precision
Accuracy - a measure of how close your measurement is the the true value
Precision - a measure of how close your measurements are to each other
Round 0.00023350 to 3 significant figures.
0.000234
How many significant figures would the answer to the following equation have?
34.890 + 6.2
3 (41.1)
10300.3 x 17.04 =
*must give your answer in scientific notation*
1.755 x 105
310.0
3.100 x 102
4.002 x 10-4
0.0004002
Experimental value - 5.4
Accepted value - 6.0
What is the percent error?
error = experimental - accepted
% error = |error| / accepted x 100
10%