Name
Place-Value Puzzles
Usethe cluesto writethe digitsin the boxesand find eachnumber'
l , a Write5 in the tensPlace.
4. Writethe result
] ot 24.Subtract
in the hundredsplace.
a Add 7 to the digitin the tensPlace.
Divideby 2. Writethe resultin the
thousandsplace.
a find
1,OOOs
lOOs
1Os
1s
In the onesplace,writean evennumber
greaterthan 2 that has not beenusedyet'
2 . 4 Divide15 by 3. Write
the resultin the
hundredthsplace.
lOOs
1Os
1s
O.1s
O.O1s
O.OO1s
O.1s
O.O1s
O.OO1s
Multiply2 by 10. Divide
by 10.
Writethe resultin the onesPlace.
Writea digitin the tenthsplacethatis
place.
4 morethanthe digitin the hundredths
Add 7 to the digitin the onesPlace'
place.
Writethe resultin the thousandths
Writethe resultof 6 x 9
1Os
dividedby 18 in the onesPlace.
) Double8. Divideby 4. Writethe
resultin the thousandths
Place.
a Add 3 to the digitin the thousandths
place.Writethe resultin the tensplace.
3 . 4
1s
@
€
=
o
o Writethe samedigitin the tenthsand
placeso thatthe sum
hundredths
o f a l lt h e d i g i tsi s 1 4 .
c
E
c)
!)
{
I
Writetrueor false.
1.6*5:15+_15
108
5 . 1 5 + 7< 1 3 - B
6.72l9>9
Name
DecimalsAll Around
Findexamplesof decimalsin newspapers,
in magazines,
in books,or on
foodpackages.Ask peoplein yourfamilyfor examples.
Writeyour numbersbelowor, if an adultsaysyou may,cut themout and tapethemon this
page.Be sureto writewhatthe numbersmean.For example,'The bodytemperature
of a
hibernating
dormousemay go downto 35.6oF."
(o
o
€
f
(o
f
o
d
o
0)
{
Writetrue or false.
I
l . 2 8 6+ 2 8 6 : 4 6 2
2. 907- 709:200
9. 641 + 359 : 359 + 641
4. 2,345 - 198 : 2,969 - 822
110
Name
Ordering Decimals
locationsof the decimalsand fractionson the
Markthe approximate
numberlinesbelow.Renamefractionsas decimalsas necessary.
1.
0.0
I
0.1
1.5
1.25
o.75
0.5
o.25
A 0.33
B 1.6
C 0.7
D 1.01
E 1.99
F 1.33
G 0.1
H 0.8
0.3
0.2
0.67
/v 1.15
0.4
0.5
0.9
0.8
0.7
0.6
J 0.05
K ::=
/
vn
P 0.101
0 0.55
100
2 5
100
1.0
1.1
1.2
M 0.99
0.49
R 0.88
write 3 numbersthatare betweenthefollowing:
use decimals.
$
3. $5 and $6
and
r. 4 centimeters
5 centimeters
cm
cm
cm
o
s. 21 secondsand
22 seconds
sec
sec
sec
=
@
6.
8 dimesand 9 dimes
7.
2 . 1 5m e te rsa n d
2 . 1 7m ete rs
$
$
€
f
c
E
o
c)
0)
€
I
8. 0.8 meterand 0.9 meter
9. x+17:23
112
x:
fO.5xn:35
n-
11.321b:4 b-
Name
Railroad Tunnel lengths
The tablebelowshowsthe five longestrailroadtunnelsin the world.
Tunnel
Location
Year Completed
Lengthin Miles
Seikan
Japan
1988
33.46
Channel
France/England
1994
31.35
MoscowMetro
Russia
1979
19.07
LondonUnderground
UnitedKingdom
1939
17.30
Dai-Shimizu
Japan
1982
13.98
questions.
Useestimation
to answerthe followinq
r. Whichtwotunnelshavea combinedlengthof about60 miles?
and
z. Whichof the following
is closestto the combinedlengthof all fivetunnels?
Choosethe bestanswer.
Cl
Lessthan90 miles
O
Between90 and 130miles
O
Between130and 160miles
O
Morethan 160miles
s. ExplainhowyousolvedProblem2.
I
3
g
(5
n. Abouthowmanymileslongeris the ChannelTunnelthanthe MoscowMetroTunnel?
o
About
f,
miles
o
E
;
o
c
o
O
I
Trv This
I
s. The CascadeTunnelin Washington
Stateis the longestrailroad
tunnelin the United
States.lt is about] tne lengthof the Seikan.Abouthowlongis the CascadeTunnel?
About
I
miles
Practice I
6 . 1 9 0+ b : 2 0 0
b-
7. g-500:225
g:
113
Additionand Subtractionof Decimals
A
Add or subtract.Showyourwork.
l. 96.45+ 23.96:
2. 1.06+ 0.4 :
3 . 9 . 8 7- 4 . 6 9 :
4. 0.4 - 0.37:
F€
@
Write(, ), or : to makeeachstatement
true.
r
;
6
s. 2 .7 8+ 9 .1
3.36 + 8.49
z . 1 3 . 6 2- 4 . 9
9.4 - 1.33
6. 0.08 + 0.97
8. 9.4 - 5.6
9. Nametwo 3-digitnumberswhosesum is 6.54.
1.04+ 0 .03
8.3 - 4.7
+
: 6.54
o
c
;
o
lo. Nametwo 3-digitnumberswhosedifference
is 1.52.
: 1.52
c
o
ti. 1 3 : 7* s
13.
36/p:6
s:
12,
8* g:24
g :
p:
14.
ml9:8
m:
119
Name
Rising Grocery Prices
A
The tablebelowshowssomeUSDAgrocerypricesfor the year2000
and estimatesof grocerypricesfor the year 2025.
Groceryltem
Price in 2000
F€
EstimatedPrice in 2025
dozeneggs
$1.02
$1.78
loaf of white bread
$0.88
$3.31
poundof butter
$2.72
$7.36
gallonof milk
$2.70
$5.65
l. How muchmoreis eachitempredictedto costin 2025?
a. eggs
t. bread
c. butter
a. milk
The yearis 2000.You buy breadand butter.You handthe
cashiera $20 bill.Howmuchchangeshouldyou receive?
3. The yearis 2025.You buyeggsand milk.You handthe
cashiera $10 bill.Howmuchchangeshouldyou receive?
+. The year is 2000.You buy all 4 items.Whatis the totalcost?
s. The yearis 2025.You buy all 4 items.Whatis the totalcost?
6. lf the predictions
are correct,howmuchmorewill
you pay in 2025for the 4 itemsthanyou paidin 2OO0?
I
=
(,
(g
z. Whichitemis expectedto havethe greatestpriceincrease?
E.
Explainyouranswer.
l
;
=o
;
o
E
O
8.
Listthefirstten multiples
of 3.
9.
Listthefirsttenmultiples
of 7.
123
Tenths, Hundredths, Thousandths
Completethe table.The big cubeis the ONE.
Base-l0 Blocks
Fraction Notation
Decimal Notation
, tr[t] lll....
2'[rI
ililtll
.
3.
4.
Il liltl
Writeeachnumberin decimalnotation.
Writeeachof the followingin decimalnotation.
s. 536 thousandths
ll.
TandSthousandths
lo. 23 hundredths
12. 4 tenths
o
o
Write< or >.
(o
r3 . 0 . 4 0 7
0 .0 7 4
14. 0.65
o.437
rs. 0.672
0 .7
r6. 2.38
2.4
=
o
=
o
c
E
o
€
I
17.
6 . 0 5+ 1 . 2 4:
19.
126
. 18.
:8.71 - 2.78
2o. 46.8- 3.77:
: 47.90+ 0.76
Name
Measuring in Centimeters
Measureeachlinesegmentto the nearestcentimeter.
Recordthe measurement
in centimeters
and meters.
Example:
0.05
centimeters b. About
meter
a. About
centimeters b. About
meter
a. About
centimeters b. About
meter
a. About
centimeters b. About
meter
a. About
centimeters
b. About
meter
a. About
centimeters b. About
meter
5
a. About
t.
2.
3.
5.
o
a. About
centimeters
b. About
meter
(6)
€
=
G)
o
: 1 0 . 0 6+ 1 0 . 0 4
7,
9.
8. 38.93+ 92.4:
1 6 . 8 5- 1 4 . 2 3 :
: 20.9- 8.57
to.
\
0
1
2
Centimeters
128
3
4
5
6
7
I
9
10 11 12 13 14 15
€
I
Name
Metric Measurements
t. Useyourpersonalreferences
to estimatethe lengthsof 4 objectsin
metricunits.Thenmeasureeachobject.Recordyourestimatesand
measurements.
Estimated Length
Object
Actual Length
Complete.
2.18cm:
4 . 3 m :
5. 4m:
m:700cm
6.
crn : 40 mm
mm
7,4.6m:
s. 7.94m :
to.
m:450cm
r t . 0 . 6m :
m:23cm
Measureeachlinesegmentto the nearest* m.
I
=
12.
G
oo
About
centimeters
About
centimeters
o
f
I
E
;
@
13.
c
O
Insert< or >.
1 4 . 0 .6 8
0 .3 2
i5. 9.13
9.03
16. 0.65
0.6
131
Decimalsand Metric Units
1 decimeter
Symbolsfor Metric
Units of Length
meter(m)
(cm)
centimeter
(dm)
decimeter
(mm)
millimeter
1m:10dm
1 d m : 0 . 1m
10 centimeters
2
3
4
5
1m:100cm
1dm:10cm
6
7
8
1cm:0.01
m
1 c m : 0 . 1d m
100millimeters
10
20
30
40
50
60
70
80
100mm
90
1 m : 1,000mm 1 m m : 0.001m
1 d m : 1 0 0 m m 1 m m : 0 . 0 1d m
1 c m : 1 0 m m 1 m m : 0 . 1c m
Useyourtape measureor rulerto helpyou fill in the answersbelow.
r. a.4.2cm:
U ''
r t'
T/
^^
mm
b.30mm:
4. a.80cm:-mm
b. 110mm:
5. a.43cm:-mm
b.98mm:_cm
c. 2.6m:
c . 6 . 1m :
b.26mm:-cm
2.a.6.5cm:-mm
3.a.5cm:
b. 64mm:
O'7 cm
cm
cm
260
"
cm
c . 3 m :
c.
m:500cm
I
;
G
o
oI
6
6. a. 0.6 cm :
mm
b.4mm:-cm
m:34cm
c.5.2m:
mm
E
o
;
o
c
;
O
7.
21,49,and 56 are mufiplesof
8.
of
45, 63,and 18 are multiples
133