Name
Numbers Everywhere
and
Lookin newspapers
of numbers-allkindsof numbers.
Findexamples
Ask peoplein yourfamily
Lookin books.Lookon foodpackages.
magazines.
for examples.
A
><
Writeyournumbersbelow.lf an adultSaysyou may,cut outthe numbersand
tapethemontothe backof thispage.
Be sureyou writewhatthe numbersmean.
Example:MountEverestis 29,028feethigh.lt is the world'stallestmountain.
I
3
(!
(5
o
f
c
=
@
=
o-
o
r . 5 x 3 :
2.
: 4 X 3
:10+2
4.8- 4:
39
Name
Many Namesfor Numbers
r. Writefivenamesfor 64.
2, Writefive namestor 132.
Pretendthatthe 4-keyon yourcalculatoris broken.Writesix waysto display
the number40 on the calculator
withoutusingthe 4-key.Try to usedifferent
numbersand operations.
E x a m p l e2r x 2 x 1 0
+. Now pretendthat all the keyson yourcalculator
workexceptfor the 3-key
and the 6-key.Writesix waysto displaythe number36 withoutusingthese
keys.
f
@
€
@
c
o
A)
€
I
5.
:60+90
20+60:
7.
42
:80-30
8 . 1 1 0- 4 0 :
Name
P l a c eV a l u e i n W h o l e N u m b e r s
r. Writethe numberthathas
z. Writethe numberthathas
A
place, ><
7 in the ten-thousands
3 in the millionsplace,
place,
1 in the hundred-thousands
8 in the tensplace,
place,and
2 in the ten-millions
places.
0 in the remaining
6 i n th e mi l l i o nps l a ce ,
place,
4 in the thousands
place,
7 in the ten-millions
place,
5 in the hundred{housands
place,and
8 in the hundred-millions
places.
0 in the remaining
/
o
e. Comparethe two numbersyouwrotein Problems
1 and2.
Whichis greater?
o o0000
. tt .
e. The6 in 46,711,go4
stands
for6
,o, 6,
mILtrcn
a. The4 in 508,433,529
standsfor 400
b. The 8 in 182,945.777
standsfor 80
c. The 5 in 509,822,119standsfor 500
or
d . T h e 3 i n 4 5 0 , 0 3 7 , 1 1 s1t a n d sf o r 3 0
s. Writethe numberthatis t hundredthousandmore.
I
=
(6
a. 210,366
3|0366
c. 321,589
b. 496,708
d. 945,62Q
o
=
;
e. Writethe numberthatis 1 millionmore.
a.
+,+q q,7o 2
3.4ss.702
b.
12,877,000
c.
29.457.300
d.
1 4 9 , 6 9 ,16 8 8
E
o
;
o
c
o
o
o
z . 3 2 , 4 5 , 5 8_, ,
Rule:
_,
89,115.141
Rule:
45
Name
Time
PlaceValuesin Whole Numbers
Writethe numbersin orderfrom
smallestto largest.
l.
z. Writethe numberthathas
A
>€
5 in the hundred-millions
place,
7 in theten-thousands
place,
1 in themillions
place,
1 5 , 9 6 4 1, 50 9 ,4 6 01 5 0 ,0 9 4 ,4 0 0
1, 4 0 0 , 9 6 0 1 5 ,0 9 4 ,6 0 0
9 in the hundred-thousands
place,
8 in the ten-millionsplace,and
0 in all other places.
e. Writethe largestnumberyoucan.Useeachdigitjustonce.
3
5
0
7
9
2
6
4
e. Writethe valueof the digit8 in eachnumeralbelow.
a. 80,007,941
b.835,099,714
c, 8,714,366
d. 860,490
5, Writeeachnumberusingdigits.
a. fourhundredeighty-seven
million,sixty-three
b. fifteenmillion,
two hundredninety-seven
5
e. I am an 8-digitnumber.
. The digitin the thousands
placeis the resultof dividing64 by g.
. The digitin the millionsplaceis the resultof dividing63 by 9.
' The digitin the ten-millions
placeis the resultof dividingb4 by 6.
. The digitin the tensplaceis the resultof dividing40 by 5.
' The digitin the hundred-thousands
placeis the resultof dividing33 by 11.
' All the otherdigitsare the resultof subtracting
any numberfromitself.
Whatnumberam l?
48
o
€
c
o
p)
€
I
Date
Name
Collecting Data
1.
Makea listof all the peoplein yourfamily.Includeall the peoplelivingat
or sisterswho livesomewhere
homenow.Alsoincludeany brothers
else.
The peoplewho liveat homedo not haveto be relatedto you. Do notforget
to writeyournamein the list.
A
>€
to learnaboutthe sizesof familiesin vourclass.
Youwillneedthisinformation
How manypeopleare in yourfamily?
people
The tallychartat the rightshowsthe number
of booksthat somestudentsreadoverthe
summer.Usethe information
to answerthe
questions
below.
N u m b e ro f
Books
Reported
2. How manystudentsreportedthe
3
numberof booksthevread?
4
Whatis the maximum(thelargest
5
numberof booksreported)?
6
Whatis the minimum(thesmallest
I
3
o
,i
2
7
8
numberof booksreported)?
Number of
Students
ilt
+ftr
+ftril
+/trI
il
ilil
Whatis the range?
o
f
.i
Whatis the mode (themostfrequent
c
3
numberof booksreported)?
@
z.
o
z. 30+ 50:
:90+80+60
:70+70+70
ro. 100 + 40 -r 70 :
51
Name
Time
Line Plots
The studentsin Sylvia'sclassestimated
howmuchtimetheyspendwatching
television
eachweek.The tallychart
belowshowsthe datatheycollected.
N u m b e ro f H o u r s
per WeekSpent
WatchingTV
t. Constructa line plot for the data,
N u m b e ro f
Students
U)
c
c)
=
ilt
ilt
16
17
A
><
Student Data on
Television Time
@
L
c)
-o
18
5
z
./-ftfI
19
#tr ilil
20
I
21
+ffr
22
16 17 18 19 20 21 22 23
Numberof HoursSpent
Watching
Television
EachWeek
il
23
z. Find the followinglandmarksfor the data:
a. The maximumnumberof hoursspentwatchingtelevisioneach week
b. minimum
d. mode
h o u rs
hours
c. range
hours
hours
e. median
hours
3. Estimatethe amountof timethatyou watchtelevisioneachweek
hours
o
J
@
€
I
Trv This
@
f
I
G)
4. calculatethe meannumberof hoursSylviaand herclassmates
spent
watching
TV eachweek.
hours
q
o
o)
€
I
I
Practice I
s. 80* 30:
7.
54
:70+60
:90+90
8 . 1 2 0+ 3 0 :
Multidigit Addition
Makea ballpark
estimate.
Usethe partial-sumsmethodto add.Compareyour
answerwithyourestimate
to see if youranswermakessense.
1.
2.
67
+85
Ballpark
estimate:
4.
3.
439
+ 7 1
227
+ 386
Ballparkestimate:
Ballpark
estimate:
5.
6.
493
+ 939
Ballpark
estimate:
A
Fv<
732
+ 1,788
4,239
+ 1,509
Ballparkestimate:
Ballparkestimate:
8 . 9 X 9 :
- 4 : 8
57
Multidigit
Addition
continued
Makea ballpark
estimate.
Usethe column-addition
methodto add.
Compareyouranswerwithyourestimateto see if youranswermakessense.
11.
89
+47
Ballparkestimate:
14-
4B1'
+ 239
Ballparkestimate:
12.
634
+ 8 6
13.
148
+77
Ballparkestimate:
Ballparkestimate:
15.
16.
746
+ 827
Ballparkestimate:
A
>€
508
+ 1,848
Ballpark
estimate:
o
€
=
o
c
d
€
I
t z . 1 6 ,2 1 , 2 6 ,
1 8 ._ , 5 2 ,
58
Rule:
_,104,130,
_
Rule:
Name
Gestation Period
The periodbetweenthe timean animalbecomespregnant
andthe time
its babyis bornis calledthe gestationperiod.The tablebelowshowsthe
numberof daysin the averagegestation
periodfor someanimals.
periodslistedin the table...
t. Forthe gestation
A
F€
Average Gestation Period
(in days)
a. whatis the maximumnumberof davs?
days
b. whatis the minimumnumberof days?
days
c. whatis the range(thedifferencebetween
the maximumandthe minimum)?
days
d. whatis the median(middle)numberof days?
days
Animal
Number of Days
dog
61
giraffe
457
goat
151
hum an
266
Asian elephant
645
mouse
19
squirrel
44
rhinoceros
480
rabbit
31
Source:WorldAlmanac
z. Whichanimalshavean averagegestation
periodthatis longerthan1 year?
I
3
d
b_
f
o
3.
Howmuchlongeris the averagegestation
periodfor a goatthanfor a dog?-
4.
which animalhas an averagegestationperiodthat is abouttwiceas long
as a rabbit's?
=
o
c
days
s. Whichanimalhasan averagegestation
periodthatis abouthalfas long
o
as a squirrel's?
6.
8.
56+33
z.
78-32
:167+96
s . 2 7 1- 8 9 :
61
Multidigit Subtraction
Makea ballparkestimate.Usethe trade-firstsubtractionmethodto subtract.
Compareyouranswerwithyourestimate
to see if youranswermakessense.
t.
2.
A
>€
3.
732
- 365
469
87
96
-28
Ballpark
estimate:
Ballpark
estimate:
Ballpark
estimate:
4.
5.
6.
4,321
575
6,600
- 4,279
5,613
- 2,724
o
=
@
@
=
@
Ballpark
estimate:
Ballparkestimate:
a
c
Ballpark
estimate:
G)
D
€
I
:64
64
8.9x
:72
9. 56 :
x 8
10. 42:
x 7
Name
Multidigit
Subtraction
continued
Makea ballparkestimate.Usethe partial-differences
methodto subtract.
Compareyouranswerwithyourestimateto see if youranswermakessense.
tt.
12.
84
-55
A
><
13.
136
79
573
- 167
Ballpark
estimate:
Ballpark
estimate:
Ballpark
estimate:
14.
15.
16.
506
- 282
5,673
- 1,194
3,60 1
- 1,063
Ballparkestimate:
Ballparkestimate:
I
3
(E
(,
b.
f
I
=o
Ballparkestimate:
;
o
c
;
77.
18.
55,44,
Rule:
,22
72,81
Rule:
65