Download Spring Break Math Practice Packet

Spring Break Math Practice Packet
Name
Date:
Period:-
The pages that follow are all part of the math practice packet for spring break. Students
may choose up to 16 pages to work on for extra credit. Each page completed appropriately
will be awarded L/2 point of extra credit toward the overall grade - for a total possible of 8
extra points (for reference, a homework assignment is worth 2 points), This assignment is
entirely optional. If you choose to complete it, it will be due absolutely no later than Friday,
April 1 at 3:30 PM.
I hope you have a great break, and good luck!
- Mr. Kordon
NAME
Lesson 5.
I
Multiplying Froctions
Multiply froctions.
&x3: &Tt
6l_
2+T
Multiply numerqtors together. Multiply denominotors together.
Simplify.
Multiply. Write onswers in simplest form.
q
b
c
d
l
?"3
3 ., 5
q2\6
7u5
g/\7
3ri
2'
#"9r
3*8
Tx8
itue
3. I"?
T22\3
r+. 3"8
8'å
8"?
6 X
5.t
3.r3
q^q
3.,3
E^5
?
6.
7
X 8
tr"i
Spectrum Moth
Grqde ó
lt ,,2
1.,
.'2
4
2
5
r+
I
5
X
2
5
.,
X
,+-
3
T
7
X 73
7
8-
"?
7 ,,2
g2\g
Chopter 5, Lesson I
Multiplying ond Dividing Froctions
+7
!
{
q
NAME
!,
i
Lesson 5.2
(
c
3
Lr
5
3
5
5x3
xB
x1:ä
,+T
(
C
Numbers
Multiplying F roctions ond Whole
5.,2-10
T^3- 3
_
-cl\,3
Renome I os l'
Write in simPlest form
Renome 5 os
Write in simPlest form
sr mplest form.
Multiply. Write onswers tn
L,
o
f.
d
C
b
xz
.+XÉ
3Xå
8XT
6
3xó
frxe
9x+
3xï
2xtr
3. lO x t
5Xå
{. åx8
zrxT
txe
åx5
3x2
8x5
2.
åxó
I
I
5. 9Xå
2xí6
ChoPter 5, Lesson 2
Spectrum Moth
I
Grode ó
ì
I
+8
I
l
L
Multiplying ond Dividing Froctions
1
l
NAME
Numbers
Multiplying Mixed Numbers ond Whole
whole number os improper froctions'
Renome the mixed number ond the
x5
Multiply.
5
XT
l3l
55
T
Write in simPlest form
Write onswers ln s implest form.
b
q
2{x3
tlxs
c
d
8x3å
+x3å
2.
7x3$
6x2l
2jx+
ofxs
3.
t{ x
3lx7
5x2{
+x2{
f+.
2x2)
Bx+t
2{x3
5$x2
tlxz
lfxó
3x2{
t+xó|
5
o
ChoPter 5, Lesson 3
Spectrum Moth
Grode ó
Multiplying ond Dividing Froctions
NAME
Lesson
5.1+
zlx¡å
M U Iti plying M xed N U m bers
l*f :#:";¿
os on improper froction
Renome eoch mixed numerol
Multiply,
Simpli['¡
[orm'
Multiply. Write onswers in simplest
c
b
o
x zå
zlx tf
sfxst
+åx+å
2?x
z[xz\
tå
I
2.
3.
+.
5.
str
28x2i
tt x
zf;
d
C
2l x
Ztt
ttrx
zZ
zåxoi
zlxsf
x |rr
z$x t[
t{ x tt
tf x z$
+åx3å
tfrxsl
zlx tl
3{
zZ
x
lst
ChoPter 5, Lesson
Spectrum Moth
Grode ó
50
rt
Muhiplying ond Dividing Froctions
NAME
Les son
5.5 Multiplicotion Proctice
Multiply. Write onswers in simplest form.
d
o
b
.t
3'l
6 X 8
?
xI
3'8
2.
i"i
8xl
5x3
+x3
3. 2xL"
8x+
?x
tx5
t+.
2r3
z$x
s{xa
5x2l
5.
3xt+å
5x3t
zjx
tlxz!
6. slxsi
zlxz[
z)x+\
x3
Spectrum Moth
Grode ó
3
C
5
o
6
t{
z$x
r)
Chopter 5, Lesson 5
Multiplying ond Dividing Froctions
5¡
NA'\'IE
!
(
(
C
(
Lesson 5.ó
Problem Solving
in simplest form'
Solve eoch problem. Write onswers
l.
José mowed fr of
Som ond José mowed ! of the yord'
José mow?
thot omount. Whot port of the yord did
(
2. Morio proctices the piono I of on hour every doy
i;; ;""y hours does she proctice in T doys?
3. It tokes ó hours to cleon the Smith's house' How long
does it toke to cleon
f of the house?
hour' How lor
Roul con ride his btkeT|miles in one
con he ride in 2f hours?
Roul'cãn
ride
qnd
boords ore stocked on top of eoch other
is the stqck?
eoch boord is Z{ inches thick, how high
The stock is
7.
5
inches high.
would
A bog of pototoes weighs 2| pounds' How much
3f bogs weigh?
The bogs would weigh
r+.
miles'
5. If I
6,
3
hours
It tokes
+.
2.
hours.
Moriq proctices
(
I
of the yord
Josê mowed
L,
SHOTTYOURIIORÍ
6.
pounds.
to mqke o fence'
Joson put ó pieces of choin together
Lå.i pi"." of .ho¡n wos 3t feet long' How long wos
7
the choin?
The bogs would weigh
Spectrum Moth
Grode ó
52
pounds.
.
ChoPter 5, Lesson ó
Multiplying ond Dividing Froctions
N¡6¡
Le sson
5.7 Reciprocols
The product of o number ond iß reciprocol
ond f ore reciprocols.
is
!
åxt:r5E:
Find the reciprocol of o whole number by
writing it os o froction.
u-1
r-
I
The reciprocol of 3 ¡t
I
|
The reciprocol of $ is {.
I'
Write the reciProcol.
b
o
5
2
3
3
I
3
8
6
7
I
I
5
I
I
3
2
3
rl
5
6
t0
7
3
+
5
9
2
6
I
I
q
2.2
3
5
3.7
7
3
'+.i
5
6
7
il
I
ilrt
5
9
I
7
I
5
I
9
6.fr
7.
I
2
5
t5
ro
g
I
-
2
Ll
t5
,ra
3
I
5
?
9
Tõ
to.
SpecÌrum Moth
Grode ó
16
2
7
I
3
5
3
3
g. l2
7
t6
t5
tó
TT
I
I
+
8.å
-
r
e
d
C
7
Irl
t5
T3
-
+
7
_
t2
I
tB
7
-
16-
Chopter 5, Lesson 7
Multiplying ond Dividing Froctions
53
NAME
Lesson 5.
o
a
To divide, multiply
6+ 8
3
by the reciprocol o[ the divisor'
divisor
recrproco
divisor
f
Dividing Whole Numbers ond Froctions
v
v
:
T*8
óxå
:T-lT8-
rec procol
: lx
:m
I
8
T
:m
I
r
6
Divide. Write onswers in simplest form
b
o
z
*l
I
s
*3
tS
O:8
2.
9*f
to +
3.
É*
å*ó
IÕT
å*8
5Ã
12=
5
r+. T*7
d
C
å
rs *
9u
s
3
I
¿
*?
+*ã
\+
t2
2Ú
3r
I
Spectrum Moth
Grode ó
5{
ChoPter 5, L''esson
Dividing,Froctions
ond
Multiplying
NAME
Lesson 5.
To
I
Dividing Froctions by Froctions
divide, multiply by the reciprocol of the divisor'
I*g:ä"3:ffi:å
Divide. Write onswers in simplest form'
b
o
I
3
2
5
2. L*l
3.
É*tr
r+' u3*3
Spectrum Moth
Grode ó
3
8
2
5
3
3
s-
r+-
tt
3
5
q-
7
9
d
C
2
3
r+
3
9
7
5
3
8
6
I
2
3
3
I
5
2
8
2
3
5
8
2+
3=5
5
I
6
3
2
7
3
9
ChoPter 5, Lesson 9
Multiplying ond Dividing Froctions
55
NAME
Lesson 5.
3t++
Renome
{*T
Extr:#
Dividing Mixed Numbers
lo
3t ot
Renome T os J'
Multiply bY the reciProcol
ln
Divide. Write onswers
(¡
(
I
2l+ 3[
I
{'
sl mplest
+f+zf
t3 tl
T:
+
€*å
Renome'
:
å3
: l*
MultiPlY bY the reciProcol
form
b
C
d
lf+2{
e*3å
2[+5
+2*4
+å*ó
ll:31
s*31
2[+3
t*S
g*l?
c
L(
2.
t+|
+ lf
3. O*2tr
t+.
3t+T
ll+3
3f+2$
ChoPter 5, Lesson
SpecTrum MoTh
Grode ó
5ó
Frocti
Multiplying ond Dividing
NATYIE
Multiplying Decimqls
sum o[ the number
the product is îhe
decjmotf:ll]'
to ùe risht of the
toctors'
i"Ëimol point of the
to the
0.2 I
"ítf'"
0.t+
x
0.2
0.0
o.l
I
x
0.ó
X
ó
3.2+32
0.13
97296
I
+32+32
o.+ 2
,
I
6t6
holders'
odd ze(osos Ploce
e
d
b
o
0.7
x
xB
0.0 3
x 3.0 ó
2.
5 3.ó
3.
0.37
X
27.l
q.
5.
t+
x 3.5 tl
0.2I3
x
o.ó
xB
0.0I
0.5
o.t
X
x
I .ó
62
0.3
328.1
0.ó
x
3
3.263
l8
0
x
178
53
x
x
8.0
3
3.5
9.8 0 ó
3l
253
X
l2
0.8 3
x 0.2 3
I
25
xQ.7
0.297
X
7.1
ó 0 0.3
x 0.0 3 tt
5 8.9
x 0.0
3I
x
7 6.q
- 3.ó
895
x 0.ó
0.8
t+
3.ó
Grode ó
8.2
x0.26
x 0.0 2 5
Multiplying
2
x0.82
ChoPler
Speclrum Moth
3
7'
Lesson
,l
ond Oiuiding O*'t;'i
NATI/IE
Lesson 7. 2 Multip lying MoneY
$ o.o
x
a
x ló
+8
$ 2 5.ó
3
25
t 28 I 5
+5126
+8
$o+0.75
$ 1.28
Multiply.
b
$ o.e z
$ o.o s
x
x7
2
x
3.
x
$
183
$ 2 5.ó
X
5
3
2l
$ r 7 5.5
{.
x
17
$e.67
¡.2 a
0
I
$ B 8.ó ó
17
x
x
$ + LT
$
x
5
9
$
3'l 3.0I
$
2I 6.22
t+0
x
15
x
$ o. 7 j
I
$ o.+
x 252
X
d
C
q
22
$2.2"
$ ó.8
5
I7.3
5
x lli
75
$ + 8 8.62
I
$ I 5 o.ó
X
$ 5 +.3
x+
13
X
3 t
X
5
6
$soo.¿
X
I
x
$zs.s
ChoPter Z,
Spectrum Moth
Grode ó
82
ll
L'esso
Multiplying ond Dividing Decin
NAME
Multip licqtion Proctice
9.6
3.6
2
r00
x
x lo
3.6
2
Shortcut:
x l0O0
3.82 x
or
or
or
3620
362
36.2
plv.
x
5.26+
x 1000
6.5+2
x
3.
e
d
o
2.
lo:3ó'2
3.9¿x loo : 362
3.é2gx lO00 : 3620
3620. 00
3 ó 2.0 0
foto
2
lo
I 0.ó
x
0 ó.+
+
100
0.632
0.0 2 5
'+.
x 1000
lo
X
32
00
s. 0.2 I I 3
100
x
l0
X
0.0 0 2 3
l0
)1
0
X
t2l3
t000
ó t+.0
0.0 0 0 3
I
x 1000
2.593
x 1000
x
27.62
X
93.25
lo
X
I
l0
I
X
0.0 0 ó 2
100
x
7 2.+
100
X
0.3 lB
x 1000
2.339
x 1000
100
3.239
ChoPler
Spectrum Moth
Grode ó
5
r83
r00
0
x 1000
0.3 2
1000
X
0.0 ó 3 2
100
x
7'
Multiplying onJ oiuidlng
Lesson 3
o*'t;:
NAT{\E
Divîding
Whole N umbers
sby
Decimol
decimol Point
obove the
directlY
quotienî
Ploce
both
i n the dividend
if
Divide os
l2l
;j:'n:l$:H:"1"
6
i:7a6
-6
t2
-v0ó
35
5
d
C
b
Divide'
o
o2
of,-+
l.
7
flr77
2.
rÌ
Ie.¡
3. 0T572
r+
q.
flri,
qfT7-:93
MultiplYing
T""t'li
Moth
NATVIE
Dividing Whole Numbers bY Decimols
the divisor ond dividend
by lO, by l0O, or by 1000 so the new divisor
is o whole nu mber,
0
b
o
0.8
IIT
0. +
I3¡
o.6w-6
zIqT
o.o
2. 0.0 7 n8
o.o
3.
O.OOóI5T
o.oo7flll
{.
o.7 T3ZT_3
o.o ó
fT721
d
C
8
Dq
0.0 o Bf72
o.o o
+fl2
o.5w
o.o 3 rT5
o.o o 3fTEa
0.9
I€T-I
ChoPTer
Spectrum Moth
Grode ó
t
7,
Lesson ó
Multiplying ond Dividing Decimols
87
NAME
Lesson 7.7
Dividing Decimols bY Decimols
Multiply the divisor ond dividend
is o whole number'
by lO' by IOO' or by 1000 so the new divisor
150
o.g9f7æ - sf75õ
Multiply -Ð
by 100.
25
-9
-25
0
0.0 0
Divide.
t. o.BIO:TZT
o'O311163
2.
o.oówTz 0.07rc2q]5
3.
o 3fl:627
r+.
.O O
2IqE
O.O ó
TZ7:ia
o.o7I5Or
d
c
b
o
0.0 0 'r
IO3-TZ
0.5
fTTs
O'oOeT37:8
o.7fl7:76z.
o'o o I
0.5
Iq
0.ó )T:OT97
I0l8
0.0 r+ fTSa
ChoPter 7, Lesson
Spectrum Moth
Grode ó
88
Multiplying ond Dividing Decimc
NAME
Les 50n
g.t+
Meosurlng
Areo
Perimete r ond
ts the distonce
meter,
The Pe rimeter
To find the Pert
figure
o
oround
of ìts sides
the lengths
ot
sum
find the
t{
{
fr.
7 Ír.
in.
5 ft.
9in
20 in.
l{
r+
8tr
3 fr.
20
It+
perimeter
perìmeler
= tl 3 inches
Find the Perimeter
__
6
3
+ 5
óh
+9
4=lx9x{
I
in.
9
5ft
=1x35
trx ld
= t7t
=
inches
A = l8 squore
18
l2|l""¡
5x7
¡ =lx
¡
o[ eoch figure
feet
= .lT|2squore
b
o
5ft
I
ó fr.
tr.
perimeter
25 in.
I
perimeter =
l8 in.
6
:
[eet
7fi
r{ tr.
inches
ló in.
I
2.
5 fr.
5ft
38
l0
fr.
l3
Yd.
yd. Per imeter =
I
perimeter =
IeeT
fr.
.rords
t
25YÅ'
triongle'
o[ eoch right
Find the oreo
oreo
5tr
3
oreo =
l0 in.
I
in.
ilft.
oreo =
tT.
squore
oreo
ó vd.
5
\
[eeT
squore inches
t+.
5 fr.
:
l2 yd.
:
squore Yords
squore feet
ChoPter
9'
Lesson
CustomorY Meqsuremet
Spectrum Moth
Grode ó
NATVIE
Volume
Meosurlng
9.5
Lesson
its length (Ú)' the
oI rhe meosure of
is the
solid
re o[ o rectongulor
(V)
meosu
height
The volume
the meosure ot lls
ond
(w)
width
meosu re o[ ils
fh" *lute
5 ft.
t0
XWXh
V: lO x 5 x ó
r=50Xó
: 300
óft
I
I
(,
is 3OO cubic [eel'
fr.
solid'
of eoch recTongulor
Find the volume
c
b
o
,ro h.
7 vd.
5 vd.
volume
:
in.
I
in'
r5 ft.
20 ft.
8 in.
l2yd.
volume
I
volume
:
cub'rc'feet
cubic inches
cubic Yords
2.
9 in.
lq
5 in.
ft
5 in.
6 fi
't
:
in.
ó in.
volume
volume :
h.
volume
l2
tl in
:
cubic inches
cubic feet
30 in
3.
5 in.
5fr
to ft.
5
l5 in.
T in.
20 in.
lB ìn.
volume
fr.
volume =
volume :
)
:
cubic inches
cubic inches
cubic feel
5
ChoPler 9' Lesson
CustomoiY Meosurement
Speclrum Moù
Grode ó
lll
NA'VTE
CustomorY Meosuremen
t
eoch [igure.
Find the Perimeter o[
32 in.
r3.
l2
h.
l5
Perl meter
20 in.
55
t2lt
rs
:
fr.
feet
ft.
inches
in
perimeter
,+2 ft.
25 in.
right trio ngle.
Find the oreo o[ eoch
trr!
l+.
t¡¡
oreo
l5 in.
r,l
{2
o
È
ô
t7 lr.
:
:
squore feet
squore in ches
in.
oreo
9 fr.
É
¡¡¡
solid.
o[ eoch rectongu lor
À Find the volume
F
L'
15.
volume:
volume =
20k
cubic yords
7
l$ yd.
28 fr
cubic feet
20Í1.
l0yd.
Solve eoch Problem'
ló.
Its bose
like o right triongle'
A piece o[ metol is shoped [eet' Whot is its oreo?
ztt
is l8 teet oni'i' f'"ighiit
The oreo is
t17.
'
'
ló.
squore [eet.
is 20
Stefonie's homster coge
*üã, ã"¿ lo inches deeP
inches long, l2 inches
It th I iolume o[
17.
:wili
the coge?
The volume is
I
8'
cubic inches.
18.
:ì1iîä1?
:i:'î; ìi:[:::::, : iil:ini'mJl
cubic inches
The volume ts
coge?
is the volume of the
How monY cubic feet
The coge is
Spectrum Moth
l
I
\
Grode ó
I Itt
cubic feet
Check Whot You Leorned
ChoPter 9
NAME
tú
t¡¡
F
¡¡¡
4
o
o
4
t¡¡
F
È
Metric Meqsurement
Find the perimeter of eoch figure
C
b
q
L'
ïóm
Stl mm
lo.
2l
18 cm
3ó mm
3ó mm
18m
15m
cm
28m
5T mm
28 cm
perimeter :
cm
perimeter
--mm
per¡meter
-
lrì
--
Find the oreo o[ eoch rectongle'
I
l.
ó.8 cm
108 mm
32m
10.2 cm
32m
ored:
sq". cm
oreo
62mm
:
oreo
scL. m
:
solid.
Find the volume of eqch rectongulor
12.
l5
8cm
l5
l0
volume
tlm
mm
cm
l5
cm
:
cu. cm
volume
mm
l2
:
8m
12m
mm
cu. mm
volume
SHOITYOURtrORI
Solve eoch Problem'
be divided
Ë;tti;; *t',¡.t, *n Lo.h hold 10 milliliters
bottles con be filled?
of liquid thot will
13.
I r)' A ior conto¡ns 3'5 liters
i"i.
13.
"f"åîf"
åiiiqi¡ä.'ú;;;;"v
bottles con be filled.
I
+.
ore +0 coins in o
A nickel weighs obout 5. gtoTs: There
l2 rollr of nickels weigh?
roll of nickels.
Ñ;;hIå
The rolls o[ nickels weigh
Spectrum Moth
Grode ó
iló
I ¡+.
kilogroms
Check Whot You Know
ChoPter
l0
NATV1E
Le SSOn
Angles
12.2 Meqsuring
An ong le (¿)
is lormed bY
wo
roYs which hove
or
o common vertex'
vertex, the point
CBAIICBAI'Th
ol tABC\s +5'.
e
ABC ( IABC)
The meosure
The ongle is no med
of the ongle nome.
middle
the
in
is olwoYs
on ongle
the meosure of
If
ongle
o ngle
If the meosure o[ on
is 90' , it is o right
te
ocu
on
is
it
is less thon 90',
This sYmbol meons
ongle'
This ongle
5
right ongle'
is [o rmed by
Itl
meet'
where two roYs
ongle
II the meosu re of onis on
ts mo re thon 90o,
it
obtuse ongle.
LCD1 is obtuse
----+
BA ond BC.
B
ICDF is I
The meosu re ol
ongle'
¿QRS is o right
l7''
ongle'
Then' meosure the
(R), or obTuse (O)'
right
(A),
ocute
Write whether i t is
Nome eoch ongle'
l.
L
!
K
6.
2.
7
3
s
8.
+.
2
Chopter 12, Lesson
GeomelrY
Moth
NAME
Lesson I 2.+ Triongles
is rBO". Triongles ore
sum of the meosures o[ o triongle
The
figure.
three_sided
o
is
A triongle
clossified by their ongles in three cotegories'
qcute triongle
right triongle
Acute ongles
obtuse triongle
Obtuse ongles
ore greoter
thon 90".
ore qreoter thon 0'
ond-lett thon 90'.
3 ocute ongles
I right ongle
I obtuse ongle
right' or obtuse'
Identify eoch triongle below os ocute'
o
b
c
l
2.
3.
r+.
Chopter 12, Lesson
Spectrum Moth
Grode ó
I r+r+
tl
GeometqY
NAME
ùv.,r
I
Pr""\',c^--
rotions
The Order o[ OPe
Le 550n 13. I
The
UJ Ir,r,t.-
order of oPerofions
is used to find
The
oPerotion
wilh more Thon one
volue o[ on exPressron
porentheses
within
Do oll oPeroTion s
from left To right
divisi ons ln order,
ond
ons
2. Do oll multiPlicoti
left to right.
s in order from
subtroction
ond
in side The Porentheses
3 Do oll odditions
Do the operotion
tt+5) +ó
from lefilo right'
Mu hipþ änd divide
Add.
+3
3x(
3x9 +ó+3
27
+2
29
The oPeroTion
Nome
lirsï
thot should be done
C
tt+3-5
o
7x3+2
I
12
2.8-ó+T
(3
3.
+
5)
x
(3
5
(2+5) x3
(5-3) +2
+ l)
+3x
-
eoch exPression
Find the volue o[
o
r+.
5++x3+6
5X(5-3)
5. 20 - T x 3 -.
6. 15 + 3 + ló +4
-2
x
+
5
7. 20
8. óx5-5x+
e. (7 - 3l x2
lO. (2x51 xt
I
l.
t2.
8
-
(5 +
2l
Ltx(5 +31 -
Spectrum Moth
Grode ó
b
-
132+8)
x2
{x3+6-l
(7x8)
-(+x9l-
8t+(8+ól +3
ló + (8 - 6l
2x(5xtl)- (B-5) +2
(LTx5l
+({x3)
-
I
ChoPter 13, Lesson
Prepåring for Algebro
'
153
NAME
0r*'ÑL
uJ: nlu0t-l'/'f{4
Lesson l3.l+ Vorioble ExP ressions
ond Equotions
number' or
olphobet, thot stonds for on unknown
one operotion'
o[ numbers, voriobles, ond of leost
+ 5' 3o is o
on orgebroic expression' In 3o
in
quotient
or
product,
is o number, voriobre,
term ond 5 olso is o term
Thenumber3isthecoefficientofo'Acoefficientisonumberthot
The term 3o meons 3 x o
multiplies o vorioble
to bè I
5, the coeflicient of x is understood
In the exPression
l3 25
contoins on equol sign' x
thot
sentence
o
is
ectruotion
An
;i"ll
x*
*
os on expression or o n equotion.
Identif''¡ eoch o[ the following
b
q
l. 3 + x
2. x-7:
7+
4: ll
coefficient ond the vorioble.
For eoch term below, identiFy the
3.
+.
5.
6.
3¡ .o"if¡.¡"nt vorioble
z coefficient vorioble
7b coefficient vqrioble
r coefficient vorioble
olgebroic exp ression
Tronslqte eoch phrose into on
five more thon n
7.
8.
on equotion'
9. Six times q number is l8'
tO.
55xn
Eight divided bY o number is 2'
x{
b
4y coefficient vorioble
5n coefficient
m coefficient vorioble
6d coefficient vorioble <
eight decreosed bY x
the producJ of n ond I
x odded to seven
Tro nslote eoch sentence into
C
2+--6
b-+5
15
:
I
Seventy less q number is 29 '
The produ c¡ ol7 ond I 2 is 8t{'
words.
Write the following exPressi ons in
ll. 6- n--3
12. 5 x 13:
ó5
Chopter 13, Lesson
Spectrum Moth
Grode ó
r5ó
t
Preporing for Algebro
NAME
Lesson I 3.7 Exponents qnd Scientif¡c Nototion
by itself'
A power of o number resents repeoted multiplicotion of the number
.lOt
= l0 x l0 x l0 o is reod l0 to the third power'
represents
In exponenticl numbers, the bqse is the number thot is multiplied, ond the exPonent
o foctor. In 103, l0 is'the bose ond 3 is the exponent.
ñ.åJËË;
25 meons 2 is used os o foctor 5 times'
i';;J";
tl;;ffi;;ï
2x2x2x2x2:32
25:32
lol
l0
l0
l0 x l0
l03 l0 x l0 x l0
l0'l l0 x l0 x l0 x l0
O x l0 x l0 x l0
l05
r00
rc2
3
x
for 3000'
l0 ore shown in the toble ot right'
103 is scientific nototion
Some powers
of
r000
r0000
x
l0
I
00000
Use the toble obove to write these numbers in scientific notoTion'
qb
C
+,000
50, 000
2. ó00,000
700
90
3. +0,000
100,000
+00
l.
30
Write eoch power os the product of foctors'
ll.
5.
6.
33.
122
7+
55
ló
g3
63
'ltl
Use exponents to write these numbers'
7.
3x3x3-
8.
24x2+
9,
2x2 x2 x2
-
llT
x7 x7 x7 x7
6x6 xó x 6x6x6-
8xB
7
TxTxtf38x38x38-
5x5x5 x5x5
-
Evoluote eoch exPression.
lO. or¡[o:2
ll. n2iÍn:B
12. o5ifo:3Spectrum Moth
Grode ó
Chopter 13, Lesson 7
Preporing for Algebro
159