Nome
Dote
AdjustingQuotients
EslimateTooLarge
Divide.425+ 23 = n
Estimate
first.
- 4oo=29=20
zo)+oo
Step l: Placethe firstdigit in
the quotient.Try2.
2
n 42s
-&
+
Step 2: Theesrimateis too
large.Try 1.
1
2BWE
46> 42
23
19
19<23 I
zr.EE
-ael
195
- 184
11
1 1< 2 3
So 8 is correct.
You can'tsubtract46 from42.
So 2 is too large.
Step 3: Bringdownthe next
digit.Try8.
18Rtl
So 1 is correct.
EstlmateToo Small
Divlde.829+ 16 = n
Estimate
first.
zo)eoo-800-20=40
Step 1: Placethe firstdigit in
thd quotient.Try4.
4
r6)ste
-64
18
1 8> 1 6
You c6ntakeanothergroupof
'16fromthis remainder.
4 is toosmall.
Step 2: Theestimate
istoo
small.
Try5.
to)azs
80
2
StgP 3: Bringdownthe next
digit.Try 1.
51Rl3
r6)s29
-80
2<16
29
-16
1 3< 1 6
13
So2 is corrcct.
So 1 is correct.
Divide.Checkyour answer.
r. oo)Zas
z. 31)590
3.
zslito
s. 121
) 4s
e. ss)450
7.
zo)goz
s. 446 + 94
Copyrro o r'bronbnM'nn cmry.
r o . 5 1 9+ 5 2
a/t'rOhbl*d.
11. 721 + 83
4.
szEsg
^,I;;;
12. 368 + 27
Use with text pages 118-119.
l'loms
Dote
AdjustingQuotients
Dlvlalo.Choc*your answeE.
t. szlm
z. nlfrl
a. z4Wd
4. s6)521
c. 42)366
6.72)645
r.34)544
8.31)J88
ro. ss)ETT
rr. 63)2148
Q. 28f170
r.. 519 + 74
rE. 925+ 29
16. 242 + 32
e. szfn
$. 726 + 32
Algebra. FunctlonsComplslg tte
r7. Rule:Divide
by 10.
|nput
Oulput
'100
tabb or rule.
18. Rule:Dividebv 15.
Input
Oubd
Input
Output
120
240
2U
I
10
20
22
75
1n
200
260
520
225
ao
20. An electrichybridcartravels612mlles.
It uses12gallonsof gas.Howmany
milespergallondoesthecarget?
^ 601
c61
E 501
D51
c.pyrlcl c fbJ$nn ldiltl cdiwv,
re. Rule:
At thh |{sit.
32
21, A regularcargets32 milesperrgallon.
lf it travels608 mites,howmariygallons
of gasdoesit use?
Usewlth tert pa96 118-119
Dqle
DivisionWith GreaterNumbers
Find 8,576 + 37.
Step 1: Estimate
the frrstdigit
of the quotient.Thendividethe
hundreds.
200
Think:4oEOOO
Try2 hundreds.
Multiply.2x 37
2
37)4S76-subtract.86 74
74
Conparc.12<37
12
Step 2: Bringdownthetens
digit.Dividethetens.
Step 3i Eringdowntheones
digit.Dividetheones.
3
Think:40)l20
4
Think:40)l60
Try3 tens.
Try4 ones.
234R18
37)4,6%
3zE6%
74I
t q l
x 37
Multipiy.3
1 2Z
127 111 - 1 1 1 1
:!_11 + Subtract
x 37
Multiply.4
16
166
< 37
Compare.16
wl
148 +Subtract.166 148
18
Compare.
18< 37
Check your work. Multiply.
Thenadd.
resultequals
thedividend,
\234\ 37) + 18 = 8,676.'fhe
sothequotienr
is coffect.
Divide.
r. r o)9,957
z. eg)5ss2
s. 428,5u
4. s6W,654
s. ro)ET2es
s. qzDE:tgs
7. 29,823+ 23
8. 323,498+ 30
s. 245,720+ 34
Nome
Dote
Orderof Operations
Find25 + (12- 7) + 4'.
Followthe orderof operailons,
Orderof Operations
25+ll2-7)+42:
5
25+(12-7\+42=
16
25-5+42:
Simplifywithinthe p€lcllb9les
SimplifythetermswitherpOtenE
lIrrltiply anddiyidgfromleftto right
fromleftto ght
AdlLandsubtract
25-5+16:
l. Parenlheses
2. Exponents
g. Multlplyand Dlvlde
I
5 + 16:21
4. Add and Subtract
the Orderof Operationsl
Thismayhelpyou to remember
Please
parentheses
oxcuse
exponents
my
multiplication
Aunt
addition
dear
division
SallY
sublmct|on
Simpllty.
1 . ' l . 7+ 8 + 2
2.42+('t4-81
3 . 2 1- ( 6 + 2 )
4 . ( 1 0- 4 ) x ( 1 6 + 4 )
5 . ( 4 8+ 8 ) x 3
6. 15-(7+4)
7.8x(49+7)
5 1- ( 8 x 4 ) + 3 2
9.
5+(17-8)+12
:,i..
ro.4x(2x3)+8
cayndi o Hd4xm l{lln cdFon, ^n n?tu r6,id
r r . 4 3- ( 0 x 7 ' )+ 1 4
1 2 . 3 3 + 2 2+ ( 8 1+ 9 )
Use wlth text pag$ 124-126.
Dote
Noms
DivisionWithGreaterNumbers
Olvldeand chock.
1. 24n,230
z. ra)3/4so
s. zzvs6a
+ 37f8,o23
s. gz)55362
e. z+)-ig,oos
7, 4,233+ 11
o. 9,721+ 58
o. 12,480+ 51
10, 387,422+ 16
writeandsolvea
Algebra . Equations f g b thoquollentandr ls the romainder,
dlvislonproblemtor eachequatlon.
tl.36q+r=2,599
12. 12q + r= 448
13, Louisaearns$48,880a year.There
are52 weeksin a year.Howmuch
doessheearna week?
14. Find72,450+ 85. Showhowto
checkyourwork.
^w
c $940
B $840
D $1,040
cotyrld'l C HorCrQ ldtu Cqtr'cv. A itrL |gsd,
.""-- flli*,.'!ffii
33
Uso wfth text page812fF'122.
Dots
0rderof 0perations
Slmpllty.
r. (20-2)+3
2.4+(8-21x5
t.6+(2x6r+22
4 . ( 1 9+ 2 )+ ( 9 - 2 ) x 4
E . ( 3 r * 6 )x ( 1 0 + 5 )
6.4+(6x2)-7
?.13s-3-(4x12)+16
o . ( e - s ) i . - ( 6 - 2x) 3
e. 1,634+ (14 x 2) + 2t
Write>, <, or = tor eachO,
1 0 .2 2 + ( 1 6- 8 ) O ( 2 2 + 1 6 ) - 8
tt.
3 2 + ( 4 x 2 l O ( 3 2 + 4 1x 2
1 2 .( 3 6+ 4 ) - 3 r C ) 1 6 - ( 3 x 4 )
13.
( 1 2 x 3 ) + 2O
2 (18+3)r+8
14. 2,578+ (456- 12)O 12,578
+ 4ffi) _ 12 't5. ( 3 , - 4 )x 8 O ( 1 8+ 2 ) + 2 2 x 2
Mental Math U33monratmathro stmp fy.
1 6 .5 + ( 8 - 2 ) - 6 _
1 7 .( ' t 2- 2 )+ ( s + 5 ) + ( 6 + 4 )
r 8 .8 + 1 8 - ( 4 x 2 ) _
1 t . ( 7+ 7 ) x ( 8 + 8 ) x ( 9 + 9 )
Algebra . Expressions Evrlu.totheerpr€sston,
glv.n.r = 3 andy = 7.
m. (x+ y)2 _
21. (2x+6y)+ x -
22. Whichanswershowstheexpression
23. Rewritetheexpression
28 - 3 x 4 + 32.
44+12+2-22x2ffinecrly
Putin parentheses
to showtheconecr
simplified
usingtheorderof operations?
orderof operations.
Simplify
the
exDresston.
^20
c42
824
D48
copyrlahr
o Hclo|trn ||fih o4pdry, Ar lhnr lg6d
34
u3e wlth text Pages124-126