Significant Figures and Scientific Notation

Rounding Rules

100

Keep the last significant figure digit the same and do not round up if the number after is...

less than five

200

Round the last significant figure digit up if the number after is...

equal to or greater than five

300

Round 1.95 to two significant figures

2.0

400

Round 77.0653 to three significant figures.

77.1

500

Round 0.00023350 to 3 significant figures.

0.000234

How Many Sig Figs?

100

0.003010

4

200

10400

3

300

How many significant figures are in the following number:

2.00 x 10⁷

3

400

How many significant figures would the answer to the following equation have?

(4.5 + 9.12) / 3.010

4 (4.525)

500

How many significant figures would the answer to the following equation have?

34.890 + 6.2

3 (41.1)

Calculate!

100

4300.20 - 2030.00 = 

2270.20

200

0.302 + 278.8 = 

279.1

300

0.0034 x 189.9 = 

0.65

400

(4.4 x 10⁷) / (2.25 x 10³)

2.0 x 10⁴

500

10300.3 x 17.04 =

*must give your answer in scientific notation*

1.755 x 10⁵

Convert to SN

100

172

1.72 x 10²

200

0.502

5.02 x 10^-1

300

123,453

1.23453 x 10⁵

400

0.00982

9.82 x 10^-3

500

310.0

3.100 x 10²

Convert to Decimal

100

3.69 x 10^-2

0.0369

200

1.56 x 10⁴

15600

300

3.90 x 10^-1

0.390

400

736.9 x 10⁵

73690000

500

4.002 x 10^-4

0.0004002

Misc.

100

What unit would you have for an answer for the following equation:

5.2 cm x 9.003 cm = 

cm²

200

What unit would you have for an answer for the following equation:

3.4 m / 2 s =

m/s

300

What is the formula for density?

Density = mass / volume

400

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

500

Experimental value - 5.4

Accepted value - 6.0

What is the percent error?

error = experimental - accepted

% error = |error| / accepted x 100

10%