Name
Per.
Metric Measurement Worksheet
kilo, hecto, deka, (base--no prefix), deci, centi, milli
k h da BASE d c m
gram (g)
liter (L)
meter (m), etc.
Part 1: Metric Units
Choose an appropriate metric unit for the following (h, da, and d prefixes will not be used):
,
Mass of ibuprofen in 1 Advil tablet
2.
Mass of a person
3.
Mass of a slice of cheese
4.
Volume of a sample of hydrochloric acid for a chemistry experiment
5.
Volume of a bathtub
J
6. Thickness of a quarter
kvL//W
7. Height of a building
ivÿ-
8. Distance from Katy to NYC
9. Length of your arm
/ÿ
Cj,/v,ÿ.
Part 2: Metric Conversions
1. 1 km
2. lg
3. 5.70 g
4. 0°8 kL
5. 783 kg
6. 459 mm
7. lOm
8. 0.375 L
=
/DOÿ
= __ÿ
= ÿ/2
m
9. 4.37 cm
=
cg
10. 75 daL
11. 25L
12. 5000 m
=
mg
= ÿ
L
= 7ÿ,ÿ ÿaO g
=
ÿÿO
cm
= __ÿ__ mL
13. 0.012 g
14. 500 mg
15. 789 mL
ÿZ5ÿ
L
= ÿ5-ÿ
dL
=
=
km
mg
Dÿ
Zÿ
= ÿ ,5-
g
=ÿL
Name
Per.
Scientific Notation Worksheet
,f----.., .
When using, scientific notation"
1. a. Should numbers greater than or equal to 10 be expressed witlÿfDositivebr
negative powers of 10? (circle one)
,<__j-
.
b. Should numbers less than 1 be expressed with positive orÿJ
powers of 107 (circle one)
2. What about a number that falls between 1 and 10? Ex. 7
J,
Express the following in scientific notation:
3.
985,000
4.
0.000087
5.
8.845
0
I
ÿ, q ÿl 0 "-- ¢ÿ-
ÿ, ÿ'4 9 w I0 o
0.0232
0.75
8.
7,456,921 7-/-/5-(,,12-1 ÿ fÿ ÿ'
9.
65,510
11.
o
'ÿ, ÿ ÿ ÿ: t 0 ÿ"
6.
7.
10.
It)
_..2, Z 2. 'Y. { t3- ÿ
"7, ÿ- ,ÿt O--I
200
(,,,,5"5"1 ÿ to °q:
2.. "/- to z,,
0.0002
ÿ I 0
12. 1100 ___fÿJÿ_lO
13.
4550.7
ÿ, ÿ" 5"0 7 ÿto
14.
4
!ooo
Express the following in regular notation:
15. 8.99 x 10-2
16. 2.95 x 103
17. 5.443 x 104
18. 1.97 x 10-6
), o ÿ ÿ'ÿ
.2J5-o
3o
0_o ooooo l fl ÿ7
19. 3.4x 10-ÿ
20. 6.0002 x 10 3
,Zÿ_o o o, 2.
21. 2.55 x 10-5
22. 7.9998 x 10 2
23. 4.008 x 10- 2
7_&if, 92
0.o oo
24. 9.999 x 10 7
25. 4x10-3
i
i
Name
Period
Date
Measuring with Precision
Below are three meter sticks. As you proceed down the page, each meter stick has a smaller division marked.
When you read any scale, you always record the measurement by reading the smallest interval (division) on
the scale and then estimate the next smallest division ("record what you know plus one more"). As you
proceed down the page, you can see how your measurement becomes more precise and you have more
significant digits in your reading. A significant digit is a digit that has physical meaning.
23 two 81gnlflOÿI digits
Directions: For the metric ruler below, record the correct reading. Hint: what is the smallest interval?
a°
e,
fÿ
"9
Name
Period
Date=____=__
Measuring Volume
What volume is indicated on each of the graduated cylinders below? The unit of volume is mL.
60
4
a)
ÿ L
b)
8O
2.O
-
75
- 15:
70
t0
65
What temperature is indicated on each of the thermometers below? The unit for temperature is °C.
5
4O
0
/
3O
-!0 °
c)
3 q,
Name:
Period:
Significant Figures Worksheet #1
Determine how many significant figures are in each of these numbers.
1) 2.03
_/ÿ
2) 0.0224
.ÿ
3) 10.05
ÿ
4) 5000000
5) 1.0
(
11) 1.0030
ÿ-
21)0.00872
12)967 000
3
22)0.000008
I
13)0.00967
3
23)0,800008
(o
4
24) 500 ooo ooo I
l
25) 7o8
14) 900,0
Z
15)0.005
'S
6) 0.1005
Z+
16)500
I
26) 0.908
3
7) 0.002030
¢.]t
17) 0.050
ÿ_ÿ
27) 7.8 000
2.,
18) 0.005670
/ÿt
28) 780.00
ÿ"
8) 1,005
@
9) 0.004300
q
19)0.1110
4
29) 0,00600
g
10) 1000.1
ÿ
20)670 000.
6
30) 20.040
9
Determine how many significant figures are in each of these numbers.
31)7'080 x 107
32) 4.0 x 104
4
2/
33)5x 1017
{
35) 1.080 x i012
34) 4.50 x 107
'ÿ
36) 3.40 x 108
3
Perform the following calculations and express the answer with uni_ÿt and in ro er si nificant fi res.
37)210.6mm+14.57mm= ÿ2-.ÿ, 2-,
38) 74.000 cm + 8.6 cm =
D'llq,'l
'2., to cm_
42)500krn x 32km= 2_(31 000 )g4ÿ
43) 8560.0 m x 1000 m =
39) 84 cm + 111.7 cm =
44) 0.10(1 cm x 0.85 cm =
40) 84.34 g - 5.2 g =
45) 9200 g + 873 g =
II
46) 985 m2 + 500, m =
1.97 n,ÿ
41) 9.81 era- 3.151 cm =
6°66 eÿm
Name:
Chemistry o Significant Figures Worksheet #2
How many sig figs does each of the ÿllowing have?
1. 0.02
[
11. 8040
2. 0,020
2,
12. 0.0300
3. 501
4.
3
501.0
5. 5000
6. 5000.
13. 699.5
ÿ
14. 2.00x 102
I
15. o.90100
'4
7. 6051.00
16. 901o0
(o
17. 4.7x 10a
8. 0,0005
J
18. 10800000.
9. 0.1020
ÿ
19. 3.01x 1021
10. 10001
3
ÿ"
2o. 0.000410
3
2
3
Calculate the following and express your answer with unit and in the proper number of siÿ fiÿs:
21. 1.35 crux 2.467cm=
22. 1035g/82mL=
iÿ, 229 C,ÿ ÿ
t _ÿ f)[FÿlL-
23. 12.01 mm + 35.2 rm11 + 6 rm11=
24. 55.46 g - 28.9 g =
ÿ
,Z (o, to
25. 0.21 m x 3.2m x 100.1 m=
26. 0.15 mg + 1.15 mg+ 2.051 mg=
27.
15g/6mL=
ÿ ÿ [t, vlL,,,a,i
28. 505 mL - 450.25 mL =
5 ÿ"
29. 1,252 cmx 0.115 cm x 0.012 cm =
30. 1.278 x 1031112 / 1.4267 x 102 in =
Lÿ
l, lq pd
Introduction to Dimensional Analysis Worlcsheet
1. Equivalents - Please write the equivalents for each of the items in the provided
space:
a, 1 week =
7
days
fÿ 1 pint =
2-
[
year
g° 1 week=
"7
b. 365days=
,
cups
days
c. 4 qÿiarts =
1
gallon
h. 1 mile = ÿ'ÿ6) feet
d. 2.54 cm =
I
inch
i. 60 see =
I
min
e. 12 inches =
[
foot
j. 120 rain =
ÿ
hours
Conversion factors equal to one - Any number over itself is equal to one. For
example, 139/139 = 1. Likewise, 3/3 = 1. In the same way, 1 weeld7 days = 1. Use
the equivalents fi'om part 1 above and write each One as a fraction equal to 1.
1 week
i
i'
,
Multiplying by one - Any value multiplied by one is that same value. For
example, 139 x 1 = 139. Use the fractions equal to one from part 2 to multiply each
value below by "1". Carefully choose the fractionyou write so you can cancel the
unit provided and end up with the unit requested.
a. 21dÿsx tÿ/k-, = ÿ-0weeks
--
b. 272djÿfsx Iq¢" =0,'/qÿ'Tears
c. 1.6 ÿatfons x/--ÿT4 "ÿ" = (ÿ' 4
f
g. 3.2 wSs x 7t{
= Z2ÿ days
. quarts
,I
d, 6 incJaÿx2, qqe,,n'ÿ [_ÿ,2ÿcm
i. 400sÿx [rnÿ, =_(,_.6,'Tmin
/
e. 39'.mÿx (ÿ;, = ÿ'2"5"ft
j. 325 x z h,"
= hours
Y
Name
Date
Period
Dimensional Analysis/Factor Label Practice
Using the conversion factors in your notes and a PENCIL, solve the following. Show work next to
each problem and box your answer.
Steps for solving:
1. identify unit given
2. identify unit you'd like to convert to
3. identify conversion factor(s) needed
4. set up using the DA technique only and solve
5. round answer to the correct number of sig figs ÿ (ÿ,[uÿZ,,ÿ;, ]'-O#u[,.ÿ ÿ/ÿ ÿ,,
2. 25yds =?ft
ÿI,ÿ'- ÿLÿ--
3. 46 pints = ? gallons
4. 6 days = ? seconds
S-//ÿ/40 0" -ÿ ,ÿ-ZÿZJt 00[) d
5. 6 500 943 oz = ? tons ,2 ÿ ÿ, / f;-qÿ "/bTt
6. 72 inches =?feet
7. 1 year ? seconds
8. 64oz=?lbs
ÿ
ÿ',0
-[ÿ//.-ÿ :ÿ Ctt I) !P-ÿ
ÿ,#,L
;ÿ;>/ 0 O b l L°ÿ-b L.) ,:ÿ
z-i ....... "ÿ z/' t2 [bÿ"
9. 12 feet = ? inches
/ÿ
10. 89 374 seconds = ? weeks
/ ÿtP 16ÿ,.
0 ,, / ÿ "Z Z / Z-'o (;ÿ:.tÿ.S
11, 29years=?seconds
l'ziio -V¢i Obt
9'10, o ,'b s"
Name
Date
Dimensional Analysis Practice
Period
Single Step Conversions
1° How many quarts are in 3.0 gallons of milk?
2. Cork has a density of 0.35 g/mLo What is the volume of 20. g of cork?
3. One mole of oxygen has a mass of 32 g. What is the mass of5.5 moles ofoxygenÿfi /& ,ÿ,_) / ÿ.ÿ)
4. If one mole of gas has a volume of 22.4 L, how many moles are there in 25.0 L of gas? (/,. / ÿ /ÿ,1,0/C5)
5. Ifonemoleofnitrogenhasamassof28 g, howmanymolesofnitrogengasare in 7.0 g of /[) 25ÿ/t, toÿ.ÿ¢)
nitrogen gas?\
ÿ
°
A large nugget of naturally occurring silver metal has a mass of 3.20 x 10 4 troy ounces. What is the
mass in kilograms if l troy ounce is equivalent to 0.03ll kg?
.
(cTq 5; 9_. -) c/5ÿ,5- /gÿ) )
If 1 mole of octane produces 5450. kJ of heat when burned, how many
ofoqtane
burned to produce 15,100. kJ of heat?(ÿ2, °7 7 0 d# ÿ J_. 7 J / molesj,ÿ.o /e, 5)
be
must
Multiple Step Conversions
8. An old barometer hanging on the wall of a mountain hut has a reading of 27.0 inches of mercury°
1 inch of mercury equals 0.0334 atm ("atmospheres") and 1 atm =
what
is the pressure reading of the barometer, in kPa? (ÿ7/.ÿ
101.3 kPa ("kilopascals"),
9. ÿSÿosts $0.981kg. 1 metric ton = 1000 kg. How many metric tons ("t") of sugar can you buy for
J
10. Solve the following using the fact that beakers cost $8.40 per dozen.
( ÿ/C b.o4f ÿt &v*gttj,,
a. Harry drops 3 dozen beakers. How much will Harry's chemistry teacher c[iarge him?
b°
Harry breaks another batch of beakers and is charged $13.30, what was the number of
-ÿ
beakers that he broke? (give the actual number, not how many dozen) (/z] ÿ.ÿd ÿ.4';ÿJ
11. An ancient Celtic chicken farmer wished to purchase a gift for his wife. The gift was worth 2 horses.
At the local market, 3 horses were worth 5 cows, 1 cow was worth 4 hogs, 3 hogs were worth 4
goats, and 1 goat cost 9 chickens. How much was the gift going to cost the farmer, who had to pay in
(
•
7
,
d
chickens? (sigfigs don't apply) JJ/4.,, iÿ.f ÿc. lÿlÿ'i'-,:"J ÿbÿdÿ¢ÿ ÿ- UgtH(/ /tÿ+C ÿ<,5-Jÿolÿuÿ.
12. In a primitive society, the following exchange rates exist:
lfot=Svum, 2sop=3tuz, 4bef=3tnz, 9fot=2bef
(a) A man has 4 sop and wants ro donvert all of it into vum. How many vum will he get? (sigfigs don't
apply) #ÿ V ÿtlÿ,!
(b) A woman needs to pay for some food costing 12 sop. She has only fot in her purse. How many fot
should she pay? (sigfigs don't apply)
Metric Conversions (use DA, not decimal hopping)
13. Write the conyersion factor between each of the following:
a. kgandg Qÿ :... ,0.727;,ÿ I
b. mL and L / Z ÿ /U0 {2 kÿ L)
14. Convert the following:
a. 25 kg into grams ÿ2,9) 07Jÿ ÿ)ÿ)
15.
a.
b. 50.0mLintoL (0--050"ZÿL)
If 1 L of gTanite has a mass of 5.50 kg,
what is the mass of 7.00 L of granite?
b. what is the volume occupied by 22 kg of granite? (ÿ/ _:ÿ ÿ/ÿ ÿ 4,_)
c. what is the mass, in grams of 5.00 mL of granite? ÿ ],. ,ÿ° ÿ))
i
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