C.P. Chemistry
Test 2
Study Guide
Measurement and Calculations
Define SI base units for time, length, mass, and temperature.
Express numbers in scientific notation.
Use factor label method to convert between units.
Distinguish between accurate and precise data.
Record data with the correct number of significant figures.
Count the number of significant figures in a measurement.
Convert units between Celsius and Kelvin temperature units.
Use percent error to describe the accuracy of experimental data.
Create and analyze graphed data.
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CP Chemistry
Review Sheet Measurement
Name________________
Date_________ Pd. ____
All of the answers are given, in random order, after each section. Please check your answers and be
sure you are doing all of your work correctly. This assignment will be collected and graded.
A. Scientific Notation
1. Convert the following into scientific notation:
a. 1500 =
____________
b. 123 = ____________
c. 0.001012 = ____________
d. 1.52 = ____________
2. Convert the following into decimal notation (ordinary notation):
a. 4.59 x 103 = ____________
b. 5 x 102 = ____________
c. 280 x 10-4 = ____________
d. -1.4 x 10-5 = ____________
A Answers: -0.000014
1.5x10
3
0.0280
1.23x10
2
1.012x10
-3
4590
1.52x10
0
500
B. Metric Units
3. Fill in each of the blanks with an appropriate unit: mm, cm, m, km, mg, g, kg, mL, L, kL
a. Judy weighed her pen before and after class and found she had used 1.5 ___ of ink.
(mass)
b. The empty fish tank weight about 7 ___, and it could hold 43 ___ of water.
c. The steak I had was huge! It was about 3 ___ thick and must have weighed at least 800 ___.
d. The anchored hot air balloon was about 35 ___ tall and held about 720 ___ of air.
e. The slot was just 1 ___ too short for the dime to pass through.
f. The standard archery arrow is 0.85 ___ in diameter, 0.72 ___ long and 0.045 ___ in mass.
g. It takes about 2 ___ of cayenne pepper on your tongue to make your mouth feel like it's on fire.
h. The 65 ___ man was so thirsty after running 13 ___ that he drank 1500 ___ of water.
B Answers: mm
cm
cm
m
m
km
mg
mg
g
kg
kg
kg
mL
L
kL
C. Sig Figs
4. For the following measurements, indicate how many significant figures there are:
a) 34 g ___
b) 504 L ___
c) 3.4 x 103 g _____
d) 23.45 mg ___
e) 101 km ___
f) 7.0 x 10-5mm___
g) 5040 L ___
h) 0.0190 mm ___
i) 20 mg ___
j) 20. km ___
k) 20.0 g ___
l) 0.02 L ___
C Answers for #4: 1,1,2,2,2,2,3,3,3,3,3,4
5. Round each of the following off to the specified number of sig fig's:
(some have been done for you...)
a) Round 78.241 g to... 4 sig figs: 78.24
3 sig figs: __________
2 sig figs: __________
b) Round 4.2983 g to... 4 sig figs: ________
3 sig figs:
1 sig fig: _________
c) Round 373.99 g to... 4 sig figs: ________
3 sig figs: __________
4.30
2 sig figs:
370
2
d) Round 50,001 g to... 4 sig figs: ________
C Answers for #5: 78.2
374
4
78
50,000
3 sig figs: _5.00x104
374.0
4.298
1 sig fig: _________
5.000x10
4
6. Perform all calculations and express your answer with the appropriate sig figs & units:
a) 67 cm x 55 cm = 3700 cm2
b) 4.29 m x 9.8 m = ________
c) 870 mm x 430 mm = ________
d) 0.034 g/L x 8.8 L = ________
e) 1.405 m x 6.39 m = ________
f) 3.56 cm x 2.45 cm x 0.83 cm = _________
g) 45.9 mi ÷ 1.50 hr = _________
h) (4.6x107m) x (7.32x10-3m) = __________
i) (4.6x107g) / (7.32x10-3cm3) = __________
j) 3.56 g ÷ (2.6 cm x 4.3 cm x 7.8 cm) = _____
7) Perform all calculations & give your answers with the appropriate units and sig figs.
a) 6.74 g + 2.1 g = ______
b) 1200 kg + 286 kg = ______
c) 13.531 s + 4.1 s = _____
d) 7800 cm - 2 cm = ______
e) 784.326 m - 2 m = 782m
f) 2.54 g - 0.000034 g = ______
8) Show your work for all of the following calculations. Remember units and sig figs.
a) A box is 235.8 cm by 45.2 cm by 7.9 cm. Its volume (V = l x w x h) is: __________
b) A 934 g cat ate a 82.4 g rat, and then coughed up a 3.672 g hair ball. The cat now weighs: _____
c) A 5627 g brick measures 5.60 cm x 4.51 cm x 24.71 cm. Its density (D=m/V) is: ______
d) A 45.67 g stone is place in a grad. cylinder, and the liquid level rises from 25.7 mL to 32.6 mL.
Determine the stone’s volume (Hint: subtract to find the volume of the water displacement): _____
Determine the stone's density: ________
C Answers for #6 – 8: 8.8g
3
4
3
9.02 g/cm
8.4x10 cm
(hint: Density = mass ÷ volume displacement)
7798 cm 1013 g
0.30g
5
2
2.54 g 17.6 s 3.4x10 m
3
2
3
7.2 cm
6.9 mL
1486 kg
42 m
0.041 g/cm
9
3
2
2
6.3x10 g/cm
30.6 mi/h
370,000mm
8.98 m
6.6g/mL
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D. Dimensional Analysis (Factor/Label Method)
9. Convert the following. Show all work!!!
Example 1: Change 29.5 in to ft:
29.5 in x
1 ft = 2.46 ft.
12 in
a) Change 2.45 ft to mi
b) Change 75.0 kg to lb
c) Change 10.0 gal to mL
Example 2: Change 5.17 lb/gal to lb/qt:
5.17 lb x 1 gal = 1.29 lb/qt
gal
4 qt
d) Change 32.56 km/hr to ft/hr
Example 3: Change 527 mi/h to m/s
527 mi x
h
1.61 km x 1000 m x 1 h x 1 min = 236 m/s
1 mi
1 km
60 min 60 sec
e) Change 459 ft/sec to mi/hr
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Example 4: Change 3.9 cm3 to mm3
3.9 cm3 x
10 mm
1 cm
3.9 cm3 x
1000 mm3
1 cm3
3
=
= 3900 mm3
f) Change 5800 mi2 to km2
D Answers
1.068x105 ft/h
165 lb
-4
4.55x10 mi
313 mi/h
15,000 km
2
4
3.78x10 mL
E. Periodic Table. There is a periodic table in your planner on page 131.
10. Complete the following table by filling in the correct symbol or word. Spelling counts.
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F. Density and Percent Error ( Percent Error = Actual – Accepted x 100% )
Accepted
11) An object with a mass of 7.5g raises the level of water in a graduated cylinder from 25.1mL to
30.1mL. What is the density of the object?
12) The density of aluminum is 2.7g/mL. What is the volume of 8.1g?
13) The accepted density for aluminum is 2.7g/ml. Calculate the percent error if your result was
3.3g/ml.
14) The accepted length of a piece of wire is 6.54m. You measure 4.60 m. What is the percent
error?
F Answers:
22%
-29.7%
1.5 g/mL
3mL
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