Tenthsand H
pennies,
TheRoyalCanadian
Minthasbeenproducing
nickels,
dimes,quarters,
andfifty-centcoinssince1908.Overthe years,
thesecoinshavechangedin mass,
thickness,
andwidth.
i i r r . . r r * . r ; r t * * r Fr * t a . I r s r r r . . . & i l P
Youwill needBaseTen
Blocks.
Thistableshowshowthe massof the penny
haschangedoverthe years.
Changesin Mass of the Penny
Dates
Mass(g)
1908-1920
5.67
1920-1979
3.24
1980-1981
2.8
1982-1996
2.5
S h o w # # B #S h a r e
1997-1999
2.25
Shareyourworkwith anotherpairof classmates.
Howdo the masses
compare?
2000-2003
2.35
UseBaseTenBlocksto model
andcompare
eachmass.
yourwork.
Record
) Thetooniewasfirstproducedin 1996.
I t i s 1 . 8m m t h i c k .
Hereis onewayto model1.8.
Ones
Tenths
Hundredths
ffi
represents
1.
#eggffirecg represents 0.1.
ffiffi
E represents
0.01.
ffiHEffiEffi
Fffiffiffi
ffiFmw
ffiFHffiffiffiffiI
ftffiffiwffiffiHffiffit
effiffiffiffiffi|
ffiHffiffiffiI
tt4
LrssoNFocus
1.8isa decimal.
It canalsobe writtenas
the mixednumber1$.
Botharereadas
"oneand eight-tenths."
qnd hundredths.
Explore
withtenths
decimqls
)
Youcanalsosaythatthe tooniehasa thickness
of 0.18cm.
Hereisonewayto model0.18.
Ones
Tenths
sHsuwHffimffi
= 0.18crn
l-.8rnrn
Hundredths
gstggst
EE6t
Fora decimallessthan 1,you writea 0
in the onesplacefor 0 ones.
0.18canbe writtenasa fraction:+0t
Botharereadaskighteen-hundredths."
Thelooniewasfirstproducedin 1987.
Loonies
madesince1988have
a t h i c k n e sosf 1 . 7 5m m .
Hereis onewayto model1.75.
Ones
Tenths
ffiEl
eFGMtffit
@sewHEt
ffiffisl
ffiffiE@
EGECWHIH
6ffi
Hundredths
€r@er66t
1.75canbe writtenasthe
mixednumber1{}. Botharereadas
"oneand seventy-five
hundredths."
F r o m1 9 6 8to 1 9 9 9 ,th ed i me h ad a massof 2.07g.
Hereis one way to model 2.07.
Ones
Tenths
Hundredths
ffiffiffi99
@Gt
Youcanusea place-value
chart
to showdecimals.
2.07canbe writtenasthe
mixednumber2k. Botharereadas
"two and seven-hund
redths."
Hundredths
Ones
Tenths
1
8
0
1
8
1
7
5
2
0
7
tt5
a a a a a a a a a a a a a a o a a a a a a a a a a a a a a a a a a a o a o a a a a a a a a a a a a a a a a a a
UseBaseTenBlockswhenthey help.
1. Writea decimalanda fractionor mixednumberfor eachpicture.
Ones
Tenths Hundredths
bl
Ones
Tenths Hundredths
EEFITEHEEEH
ESESGGGG#GI
EE#FFFFSSH
ffiEEHFEEGGI
g e r E
SGFHS*4EEffi
c)
Ones
Tenths Hundredths
Ones
d)
Tenths Hundredths
ffiEMEFffiHffi
E:}jfgffiG@ffi
.EGEE#FHES
ffiEEEEEGffi
Htetg€t€t
gtE
etetgGtg
etE E tg
4EEESEEH$ffi
fFEMHGMEFffi
gridsto showeachdecimal.
Colourhundredths
Writeit asa fractionor a mixednumber.
al 3.17
c) 0.78
b) 2.06
d ) 1 .4
Modeleachdecimalwith BaseTenBlocks.
Makea sketchto recordyour work.
al 0.46
b) 3.04
Sketcha place-value
mat.
Showeachnumberon it.
al 12hundredths
b) 1 and 27 hundredths
c) 6 tenths
d) 4 hundredths
e) 7 and89 hundredths
fl 2and4tenths
I t6
cl 1.9
d) 1.09
Ones
e) 3.35
Tenths Hundredths
UseBaseTenBlocks
to modeleachfractionor mixednumber.
Thenwriteit asa decimal.
")ffi
b)4#
")+
el 7ft6
d) 2r3o
Writeeachnumberasa decimal.
a) forty-sixhundredths
bl fiveandsix-hundredths
cl two andeight-tenths
d) nineandforty-ninehundredths
Usethe datain the table.
al Writethe numberthat hasa
place.
5 in the hundredths
b) Writethe numberthat hasa
3 in the onesplace.
c) Writea numberthat hasa
place.
3 in the hundredths
8. Drawboxeslikethese:
I.tr[andII.I
Usethe digits4,5,and8.
al Writethesedigitsin the boxes
to makeasmanydifferentdecimals
asyou can.
bl Writea mixednumberfor eachof yourdecimals.
cl Arrangeyournumbersto showyou havefoundall
possible
decimals.
9. Thedimeis 1.22mm thick.
SketchBaseTenBlocks
to showthe decimal 1.22
in asmanydifferentwaysasyou can.
Number $trategies
Whatisthe purposeof the decimal
pointin a decimal?
Usewordsand numbersto explain.
8
$..'. $rtttrnr Focus I Question
Writeeachnumber
in expanded
form,andin words.
2005