# Scientific Notation and Significant Figures

```Name: ___________________________________________________________________ Date: __________________________ Pd: __________
Accelerated Physics
Mr. Roberts
Scientific Notation and Significant Figures
I. Scientific Notation & Significant Digits
A. Express each of the following numbers in scientific notation and the correct number of significant digits
1.
2370 m
_________________________________
__________
2.
0.3 g
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__________
3.
140.02 m/s
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__________
4.
0.000 045 amp
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__________
5.
0.000 00707 mL
_________________________________
__________
B. Express each of the following in ordinary notation and list the correct number of significant digits
1. 5.63 x 10-3 m2
_________________________________
__________
2.
6.7 x 105 cm
_________________________________
__________
3.
1.01 x 103 mg
_________________________________
__________
4.
2.002 x 10-4 kg
_________________________________
__________
C. Perform the indicated operations. Place all answers in proper scientific notation and list the number of
significant digits. Include units where appropriate.
1.
(2.60 x 10-3 m)(1.2 x 104 m)
_________________________________
________
2.
(8.7 x 105 cm)(2.4 x 10-3cm)
_________________________________
________
3.
1.01 x103 mg
9.04 x 102mL
2.002 x 10-4 kg
3.00 x 10 -8 m/s2
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________
_________________________________
________
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________
6. 3.56 x 102 s - 4.5 x 10-3 s
_________________________________
________
7. 1.0009 x 10 4 m/s - 3.3 x 103 m/s
__________________________________
________
8.
__________________________________
________
4.
5.
2.00 x 10-3 cm + 3.02 x 10-2 cm
2.2 x 10 3 N + 1.02 x 103 N
II. Dimensional Analysis: Solve the following problems using dimensional analysis only. Include units and
show all work.
1. How many kiloseconds are in 495 seconds?
2. How many meters in 0.007 mm?
3. Convert 70 mph to km/h.
4. Convert 3.00 x 108 m/s (the speed of light) to miles per hour.
5. Convert 2.03 m/s2 to miles per hour/second.
III. Algebraic Conversions: Solve for the algebraic quantity in bold.
1. F = ma, a =
2. oF = 1.8oC + 32, oC =
3. V = lwh, h =
4. vf = vi + at, a =
5. vf2 = vi2 + 2ad, d =
6. d = vit + 1/2gt2 g =
IV. Graphing On the separate sheet of graph paper, plot the data in the following table.
Make sure to label the axes.
Motorized Cart moving along a table.
Time
Position
(seconds)
(cm)
0.0
0.0
0.5
25.0
1.0
49.0
1.5
75.5
2.0
101.0
2.5
125.0
3.0
151.5
3.5
175.5
1. Calculate the slope of the line. _________________________
2. What are the units of the slope of the line? ________________________
3. Write the equation of the line. ______________________________
Plot the data table here. Label your axes
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