Nome
Dqte
Itlultiplyby One-Digitr{umbens
Find 7 x 364.
7 x 3 6 4 = 7 x ( 3 0 06+0 + 4 )
Stop 1: Multiply
theones.
x
364
7
Slep 2: Multiply
rhetens.
x
Multiplythe hundreds.
364
7
48
364
x 7
2,548
Tx6tens=4!tens
7x4:28ones
2 8 o n e s : 2 t e n s+ 8 o n e s
= 21 hundreds
7 x 3 hundreds
42 tens+ 2 tens- 44 tens
44 tens= 4 hundrcds+ 4tens
21 hundreds+ 4 hundreds=
25 hundreds
Dote
Nome
Modelthe DistributivePtoperty
DlstribuliveProperty
a ( b + c )- ( a x b )+ ( a x c )
ax24=8x(20+41
= ( 8 x 2 0 )+ ( 8 x 4 )
= 1 6 0+ 3 2
=
192
Useths DistributlvePropertyto multiply.Showihe partialprcduclstor eachand find the
sum.Thenw te a multlpllcatlonssntencetor eadh.
__-__1|[t
cAyridrr o thi{hr.i rrfinnCorDdry, t 'tht! add
lrre wlfh telt nedea 68-i
rg
Nome
Multiplyby One-Digit
Numbers
Findtheproduct.
1.
79
X 8
5.4x59
6.
43
x 7
a.
862x7
7. 9 x 8,720
564
X 6
4.
x
972
4
8. 721,053x 4
Algebra. FunctionsCopyand completeeachlunctiontable.
9.
Rule:y = 3q
'138
10.
497
2,855 4,622
Rule:y = 9a
X
v
138
497
2,850 4,622
v
Usethe OistribulivePropertyto rewriteeachexpression.Then
solve.
rr.5x680
1 2 .4 x 9 j , 5 8 5
Algebra. Expressions Evaluate
eachexpression
whena = 9,b= 37,c= 729,and
d = 8,610.
1s.4xc
14.3bxa
!7. Thebookstorereceiveda deliveryof
8 boxes.Eachboxcontained65 books.
Ninebooksweredamaged
and
returned.How manybooksdid the
bookstorekeep?
A 520
c 480
B 511
D 471
coptthr o houghtdMnh cdnpoly anilhE r*dwd
$.7(ax d)
s.3x(dxb)
-." .,\i'. ,,,,..i :{i \l( +rt*il{ts. Howcanyou usethe Distributive
Propertyto find the productof
5 and6,723?
17
Usewlth text pagos68-70.
he
Patterns
in Multiples
of ro
Muttlply,Tx50O=n
WaY1: Youcanusethepattern.
7x5=95
7x50=350
7x500=3,500
Way 2: Youcanusementalmath.
7x500=7x5x100
_35x100
= 3,500
Us€a patternor mentalmathto tind eachproduct.
r.4x40
2.7>50
4.3x800
5.5x600
'6. 7 x 200
7. 400 x 30
8. 900 x 80
e. 60 x 700
3.8x90
ro. 20 x 800
rr. 40 x 50
12. 500x 30
13, 80 x 4,000
14, 20 x 9,000
r5. 5,000x 20
16. 20 x 10
17. 40x30
r8. 50 x 40
re. 300x 80
20. 4,000x 50
Multiply.
cot yrlhr o rtlehro Mfiin cqlponr. Al ,hhb rsEd.
Usewith text pages72-73.
l,lome
h6
Patternsin trlultiplesof ro
Ua€a pattsrnor mentalmathto flnd aachprcducl.
r.
60
x 7
E.
X
X
700
8
2 . 4 0
3.
x 4
c.
X
3,000
4
x
13, 70 x 40
t4,
r7. 80 x 900
900
6
7,
50
X 9
600
X 3
400
6,000
x
7
x 8
9,000
rr.
9
600x 50
7,O0O
rx
5
12,
8,000
x
3
r5. 80 x g0
16. 3,000x 70
r& 800x 70
re. 60 x 7,000
20. 8,000x 90
2r. 38 x 20
22. 53 x 40
23, 75 x 70
24. 98 x 40
N. 172x 20
2.. 307 x 50
2?. 529 x 80
28. 910x 70
Multlply.
2e. Whatis the productof 6,000x 9,OOO? 30,
Howcanyouusemultiplying
byrensro
rrndtheproductof g2 X 40?
A 54,000
c 5,400,000
B 540,000
D 54,000,000
Co0tthr O HojahbnUih Celorr, l|
ttu.-r.d.
18
Uso wlth t xt page372-Zg.
by Two-Digitl,turnbers
Flnd. 238 x 47 = rl
Slop 1: Muhiptybyrhe
onesdigit
2B
x47
1606 <-
Sbp 2: Multiplybythel8ns
digit Startby placingI zemin
the onesplace,
t,
238 :
x47
1666
9520 <-
7x238
Strp 3i Addthe psnial
produc{s.
t1
23A
x47
40 x 238
|,
9520
11186
Flndeachprcducl. Eldmab or usea calculitor to ch€clc
i.
33
2 " 6 8
x45
x24
1,485
5.
83
x55
-d.632
a,
67
x41
4,565
e. 803
x72
57"81fi
a 8 1
xgi
'
{
6,3 | |
7,
74
x88
..
75
x46
J,450
8. 185
x40
fi 5'tR
7.955
ro. 387
x29
rr.798
x49
12. 909
1J ?ti:
Sri,3"t4
ooydcr o nqtor..' rIft cdr$cr. Arnd|! a*r
x52
&1,269
Usewlth toxt pegs 76-78.
Dole
Nome
Multiply by Two-DigitNumbers
Findeachproduct.Estlmaleor use a calculatorto chock'
1.
2,
72
x 13
..32x74
s.
45
x 18
6, 44 x 617
s.62x78
113
x42
7. 983 x 48
Use the Dbtrlbutlvs Property to Lwrlte each sxpresslon.Thon evaluaie.
8.38x25
e. 51x 413
10. 67 x 7O4
wh.n/ = 5' k = 20'andI = l(Xl.
eachexproselon,
Algebra . Expressions Evatuate
ri,50k
12. 592x I
$. 4(ix jl
14. lx (4 x i\
r5. (32 x ky
EvaluatEgachexpre€gion.
16. 56 x p, whenp = 42
t?. 36s,whens = 102
ra, 9c. d,whenc = 21 andd = 8
r e . ( e .f ) . g w h e n e = 3 , t = 4 2 , 9 = 2 2
sold
20. TheRiverideDanceTheater
456ticketsfor a balletperformance.
Eachticketcost$29.Howmuch
moneydidthetheatercollect?
DanceTheaterhas
2r. TheRiverside
in itsdancetroupe.Each
47 members
member
sold75 ticketslastseason.
Writean equation
showinghowmany
sold.Solve.
ticketseachmember
A $13,324
e $13,224
c $12,224
o $12,214
c.srilhr o Hddxo r/Iih coilodr' Al .l!h. d!.d.
20
Us6 wlth t€xt pagG 76-78.