II must be a single straight blade.
Complete.
". 3m~.cm ". .dm~10m ". 600mm __ dm
". 3.000cm -.10 u. 5OOcm-.dm ". .mm-25cm
". 2km=.m ". 75Odm=.cm ". 3Om_.dm
Compare. Write>,<,or = for eaeh • .
" 3OOcm.3Om ". 250 mm. 25 em ". 5dm.60cm
". 7km.700m ". 3.600cm. 4 m ". 9.000 mOl. 10 m
". 410c01.4m ". 8.400 0101 • 84 dOl ". 95m.906dm
For E~ercises 31-34, write the metric unit 01 length that is reasO~":':b:"C.====]
31. 32. ..._~
CALFOANlA
".-
158
SOlve.
3S. An Arabian camel is 35 decimeters long.
A hippopotamus is 4 meters long. Which animal has the greater length?
37. Robert has$27 in his wallet. He has $10.
$5. and $1 bills. Robert has 10 bills in all.
How many of each bill does he have?
3$. Look at the giraffe at the right. Which is a beller estimate of its height in meters.
5meters or6 meters? Explain,
oW. How is changing from one metric unit to another like changing from one customary unit to another? How is it different?
41. In the line for the dolphin show. Josh was ahead of Anne. and Barbara was ahead of David. Mary was in the middle. Anne was second, Tell the order of the 5
people in line.
42. Write About It Choose an object from your classroom and measure its length to
the nearest millimeter. centimeter. and decimeter. Which measure best describes
the object's length? Tell why.
Open Response Multiply. P.3.1..-:J" 51
43. 223 x 20
44. 17 x 300
4s.9x40 411. 24 x 600 47. 158 x 200
48. 460 x 600
411. 999 x 900
Extra PrilCbceSell PlI'J!'169,SetC,
36. The Brookfield Zoo is27.000 meters from the LinCOln Park Zoo. How many kilometers apart are the two zoos?
311. Will a book that is 278 millimeters stand up straight in a bookcase with shelves that are 27 centimetefS apan? Explain.
58dm
50. Use the data in the table to find how many decimeters taller Francisco is than Bethany.
p.e-.I..-:J"4)
._- Height
""'ow 100 em Bethany 120=
Dan<la 140em Francisco ",,=
Chapter 6 Lesson 4 159
Metric Units of Mass and Capacity
ObjoKtiYe CI\IrIgIt.orn~metr\I; ...
cI "...01QPIICiIy10WlOlheI.
Learn About It
The basic metricunit of mass is the kllogram.The kiIogIam was inleOded 10 be!hemass 01a cube 01 water one-tenth of 8meter (1 dm) on IIside.
Thereare 1.000 kiklgrams in 1 metrIe Ion (tl.
Thebasic metric: unrt 01(:Ip8Cityis the 1ltM.A liter is the amount (capacity) oIacube01 walel"
wilh one-tenth oIa rneteI" (1 din) on a side.
"m
Vocabulary
kllog••m lit...
IMIfk ton(II
The offICialstandard oI1he kilogram is 8 cylindrical pieoe 01 platinum-iridium alloy kept in 8 secure
location in NBoce.
"'m
Onemililiter (mL) 01watel' will
r. one cubic centimeter (o::).
So,lml=lor;:.
1cc canIIIsobe wrillen as lcmS.
2,000 kg ., • I
Changing Metric Units of Mass
..l b use the IablllIO lind
o the reLabOnShipbetWeen kilograms and melrietons.
.1lA Divide by 1.00010lind
o the number 01 metric tons.
SoIullon, 2.000 kg - 2 t 160
1.(ll)l)kg 1\
2.000 1,000 2 2.000 kg 2t
Metric Units of Ma••
1.000 " ...'1$(mill- 1gram (g) 1.000grams. 1 ~(kg) 1.000 kiograms. 1mernclen(I)
There are 351ilers of water in a bucket. How many milliliters of water are in Ihe bucket?
35L=.mL
Changing Metric Units of Capacity ,.ãa... Use Ihe tabla 10find the
0 relationship between
" 1,000 ml
liters and milliliters. Metric Units of Capacity
.,~ Mulliply by 1,000 to tind 35)( 1,000 35.000 1.000 mililiters (ml.j • 1 I~er(I.j
0 the numbarofmilliliters, 35 l - 35,000 mL 10decil~ers(dl.j. 1liter(I.j
Solution: There are 35.000 milliliters of wale!" in the bucket
Guided Practice
Complete.
1.2L-.mL 2, 3,000 dL - • L
• Whidl powor01 10 do Iuse?
• Do Imu::iflIyor diW:le?
3.8,oookg-.t 4.6g_.mg
ll.31.000mg-.g S. SI-.kg
Explain YourThinking" What power of 10 would }'OIl use to change liters10 milliliters? Would you mulliply or would you divide?
Practice and Problem Solving
Complete.
7.4kg-.g 10. 101 ~. kg
13. 5,000 kg - • t 14. 25.000 '"g - • 9
9. 7.000 9 - _ Iqj 12.13g-.mg u.250dL-_L For Exercises 1&-19, tell which metric unit you
would use to measure each. Explain your choice.
16. the amount of water in a glass 16. the mass of a hummingbird
17. the amount of medicine in aJl eye dropper Ill. the mass of an elephalll
Chapter 6 Lesson 5 161
Practice and Problem Solving
Choose the most reasonable measure lor each.
•. 65 g b. 65 mg
e. 6 kg
" .
•. 3ml b. 35 ml e. 350 ml
•. 120t
b. 12Qkg e.l.200g Compare. Write>,<, or =lor each • .
23. 2 t • 2Q.000 kg 2$. 12 kg • 10.000g
24. 2,000 g • 3 kg 2$. 4.000mL • 40 L 21. 8.000em' • 8.000 ml 28. 400 kg . 4 I 29. 5.000mL • 5 em'
31. 50 1.5.100 kg Solve.
30. 9.005 g • 9 kg 32.5OOdl.50l
33. A penny has a mass of 2.500
milligrams. Whal is Ihe mass. in grams.
of a roll of50 pennies?
3$. A moose has a mass of aboul 550 kg.
An American bison has a mass of one melrlc 1011.The mass of a bison is how many kilograms greater than Ihe mass of a moose?
Mixed Review and Test Prep "
34. A sink holds 1.500 deciliters of waler.
Explain how you can find its capacity in liters.
38. Are there less Ihan one million. exactly one million. or more Ihan one million milligrams in one kilogram?
Open Response
Estimate the product.p,.3.l.-;<l~
31. 22 x 387 311. 94 X 671
38. 38 x 4.224 40. 39 x 7.003
Multiple Choice
43. Hector drank 2 liters 01 water. Tanya drank 2.500 milliliters of water. How
much more water did Tanya drink than Hector?p,.~'--"'!ll
41. 27 x 875 42. 31 x 8.661 A 2.500 ml
B 2.000 mL
c 1.500 ml D 500 ml
162 Extr<lPrllCtlCeSeeP3'}e 169.setO.
Estimating Measures
2-4 Players
What YOIJ'II Need • customary measuremern tools (inch ruler, yardstick, tape measu,e, measuringcups, scale)
" melrOc measuremem tools (centimeter ruler, meter stOck, tape measure, measuringcups, scata)
" Learning TooI32
How to Play
o -_.
e
o o
Pick one player to be the "measure mastel." This player thinkS Of II distance or an object that can bemeasured with the tools provided, 111;s player also chooses Itle type of measurement (length, capacity, or weight/mass) to bemade.
In a table like the one shown, each player records what will bemeasured and the kind 0' measurement that will bemade.
Players then estimate the measurement in both customary and metric units and record the esfimates.
The "measure master" uses a customary tool to make the measurement. He or
she then uses a metric tool to make the measurement.
Players compare their estimates to the actual measurement. The player who has
the estimate that is closest to the actual measurement is the "measure master"
lor the next fOUnd.
- _.
--- - "
- -
-- -- --
---
Chapter 6 Lesson 5 163
. , ... _1I19lbtoo ...\11"" ...
Add and Subtract Measurements
Objective Add and$<JIllract measurements.
Learn About It
Ttlepicture shows a giraffe that is 13 feet 3 inches tall and aboy who is 4 feet 8 inches tall. How much taller is the giraffe than the boy?
Find 13 ft 3In. - 4ft 81n.
~ftlin.
41t8in.
Slt7in.
~l£o Subtract feel.
a
1~ " , / " Think
l'Jft.ti~,~ 111_12 ...
- 4ft Sin. 3+12-15;'$0 7in, 13h3In._12ft1:;:>'
~TE.. Subtract irlCheS. Since 3<8.
o 'egroup 1 ft as 12 in.
..----;=--~
Solution: The giraffe is 8 feet 7 inches taller than the boy.
Other Examples
A. Metrle Units
1m-35em_65em lm_\OOem 100-35_65
e. Time 3h35min +5h46min
8hSlmin-Sh+ 1 h+21 min _9h21 min
Guided Practice ~Yourse/f
Add or lIubtrllet.
1. 6117in.
+4ft9in.
2. 7h12min
-4h32min
3. 5m7dm
+1m3dm
• AretheooiIsthe
~~,
• DoIneed10 regroup
O<sl~
Explain YQlJr Thinking" When you add or subtract feet and inches. when do inches need to be regrouped as feet?
164 ExtraHelpateduplace.comImap
Practice and Problem Solving Add or subtraet.
•• 7It 3 in. ,. 3Ib ", •• t2 h 29 min ,. 5yd1ft
4ft2in. +21b140z +6h43min +lyd2ft
•• +2T400lb5Tl121b •• -5ga129t9gallqt ". +8g900mg9g600mg ". - 1 kl1l 900 m8kmSOOm
". 415 dl ". 9 t900 kg ". 10ydlf! ". 5 h 18 min
+5l7dl +5t300kg -4y<l2ft 2h39min
16.91l-7in. 17.5h15min+51min ". 19a1-lpt
Ill. 3 m + 42 cm 20.9kg-240g 21.4l-49ml
22. 59 em - 122mm 23.1l-17ml 24. 3m~41cm
X Algebra. Equations Find the height represented by h.
25.7ft-h-6ft4in.
27.4yd-h-3yd11t SoIYe.
29. A gorilla weighs 192 pounds 4 ounces.
Another gorilla weighs 186 pounds 9 ounces. How much mOfe does the heavier gorilla weigh?
31. Joelbought a computer fOf $978, This price included a tax 01 $28 and a
discount of $139. Find the original price before the tax and discount
26. h-34mm-66mm 28.h-3cm-ldm7cm
30. Chef Jourdan put a 13-pound turkey in the OYen at 11:20 A.M. He remoyed il from the DYen at 4:30 P.M. How long did the turney cook?
32. Create and Solye Write a problem in wllich a unit of measure must be
regrouped in ordef to solve the pl"oblem, Then solve your problem.
Open Response
Find Ihe prodUct. (Cf>.3. ' - - '7)
33. 66 X 34 34. 82 X 50
35. 76 X 24 36. 89 x 43
37. SubtractP'L6,'--'Ill 61b 40z
21blOoz
Chapter 6 lesson 6 165
A.M.
1:05 7:12 7:22 7:31
7:39 7:S6
7:50 6:09
8:01 8:21
8:13 8:34
8:22 6:43
8:50 9:09 7:26
1:$1 1:00
Great Hills FOf1 Tyron Ilh"".
cente< Station
,,",-
-""
Sleen" Mountain
"""'""
Problem-Solving Strategy
Multistep Problems
Obj&<:l;v. Decid&_Ie"",,",elal>s&d""'"p<obklmsthatinvoIYll more
"'an ...5t&p.
Problem Ellen takes Train 409 from Summit to Center Statioo. She needs about 15minutes 10drive frOIll her house to Summit Sialion. About how 10119 does it take Ellen 10 gel from her house to Center Station?
To solve some problems, you need to
WhatdatadoIneedto use
10solve the problem?
WhiehopenJlionor opeIatlotIS do I needto use tosolve the poblem?
Howdo Ifindthe solution?
• 15minutes to drive
• Train 409 from Summit 10 Genter Station takes from 6:38 to7:51,
• Subtract tofind how longthe lIaintrip is.
• Add 15min tofind how
Ioog the lotal tripis.
7:51 -6:38
- -1:13
lhr13min
+ 15min
1 hr 28 min
Solution: It takes Ellen about 1 hour 28 minutes to get from her house to Center Station,
.Try These..
Use the schedule 10 solve. Show all your sleps.
I, Mr. Parlier gets 00 Train 1008 at Steeo's Mountain. The train reaches Center Station 12 minutes late. How longdoes it take Mr. Parlier 10 get from SIe1ffiãS Mountain to Center Station?
3. lucy takes Train 409 from Steen's Mountain 10 Ithaca. Eric takes Train 545 from Oakwood to Iihaca. Whose trip takes less time? How much less?
2, Judy takes Train 545 from Melrose to Fon Tyron. She needs about 10 minules to drive from her house to Melrose.
Aboul how 101lQdoes il lake Judy 10 gel from her house to Fort Tyron?
4, Charles takes Train 1008 from Great Hills to Center SlaliO/1. linda takes Train 545 from Newburgh to Cenler Station. Whose trip takes longer? How much longer?
166
Solve. Show all your steps.
,. Create and Solve Write a nlultistep problem that involves time, Solve the problem and exchange it with a partner.
6. If there are 8 cOnlmercials shown during a 3O-minute television show.
how many commercials might be shown in 90 minutes?
1. Jacob pians to spend 2 hours shopping for dinner and then 2 hours 15 minutes to make dinner. He is planning toserve dinner at 7:15 P.M. What time should he start shopping for dinner?
8. There is a 20 minute break between showings of a movie. A movie has
showings of 1:35P.M. and 3:35 P.M. How long is the movie? What time should the next showing be?
8:14 P,M, 9;06p,....
9:53p.M 10;32p,....
723 ...
8'44 ...
9057 ...
s,se ...
11:01 ...
Thursd~
•
The gravitational pUll of the moon and the sun cause the high and low tides of the oceans on earth. Because the moon is closer to the earth, its gravitational pull has more than twice the effect of the pUll of the Sun on the tides, In most places, two high tides and two low tides occur in a 24 hour and 50 minute period.
The table below shows the times of high tides for 5 days at a beach. Use the table to answer these questions.
• How much time is there between high tides each day?
• How much time is there between high r--:::---:::-:--::---:::-::-:---:--,
tides from one dayto the next (Sunday HI,II Tld".tIt S... SII.II a•• 11
evening to Monday morning, for example)?
• Is the amount of time between high tides always the same?
• About what times woukl you predfet for high tides on Friday of this same week?
Science Connection Time and Tide
Chapter 6 Lesson 7 167
~ Chapter ReviewlTest
VOCABULARY
1. A.(n) _ is !he smallesl; metricunit typically used 10
measure length.
z. A ~tet is8 measureof _ _
3- A(n) _ isa metric unit of mass.
Vocabulary
-" _,IIo••le: (em)
".1...(mg)
It_'''' (-I
CONCEPTS AHD SIUUS
comple:l•.a--1-6.pp. '.'SlI .. 22 in. • • ft • in.
1. 3.680 ml- _l_ ml
15. 250dm - . em
Compare. Write>.<.or '"foreach .0 ..-1-6.pp.'.'82)
10. 40 It • 400 in.
13.2yd2ft.96in.
11.3Ib7oz.56oz 1•. 22 L • 2,200 mt
12. 17f1o~.2c
IS. 3 km • 3.000 III Add or.ubtracl. ~6.p, 1661
1•. 41b8oz +31b 902 PIIOBlEM SOLVING Solve.a.-1.p. I _
17. 6114in.
31t8in.
18. 3l6dl
+9L 7dL
111. Paul's train ride lakes56minutes. from
!here he has 82O-minutewalk 10 hisoIfi<:e.
If heallows himself 1i hours from !helime
hegets on !hetrain, how much eJltnl lime is lett when he reaches theofflOl:!?
20. $andrI buys 1! polOdsofgraled d"t,,*
She uses 13ounces ofitfor 8 recipe. How much more cheese does sheneed 10make anolhefdish thai cab for 14 ounces of 0 - 1
168 Chapler 6 Chaptllr ReviewfreSl
Show You Undentand Sheree wants10make8 paper cover lor hermath book. Does she need lIIlexact " .ellie, ,tof how large 8 sheetd paper sheneeds. or
can sheuse an estimate? ElIplaon.
Extra Practice
Set A~2.w.150-151l
Complete.
1. • in.-l0ft
Compare. Write >, <, or '" lor each • . 4. 1mi • 5.000 ft
2.2mi-.yd
5.2yd2ft.l0f!
3.8ft-_in,
8.9yd.28ft Set B ~3.w.l(;2-1561
Complete.
1.9t-.Hoz 2.20oz-.lb 3.5,280lb-.T.lb
Compare. Write >, <, or '" lor each • . 4.30lIm.2pl
Set C ~•.W_l*'~
Complete.
1.92 km". m 4. • em" 420dm
5.4Ib.64oz
2.860cm=.dm , • • em ., 780 mrn
6.2pt7f1oz.40floz
3.40m=.dm
$. 400mm., .dm Compare. Write>. <. or" lor each • .
7. 45 km • 4,500 m Set D ~5. w_ ItIO-lt>:l)
Complete.
1.4001<.9=_9 4,_1_1,5001<.9
8. 33 em .3300110
2. • 9 .. 6.000 mg
5. • mL-25L
t.550m.Sdm
3.20dL=.mL
$. _L_l,250dL Compare. Write>. <, or" lor each • .
7. 89 9 • 89.000 mg Set E (1..-;<>5.w. l~lMl
Find each sum or difference.
1.6 It 2 in. - 3fl 8 in.
4.6h20min+45min
8. 70 L • 67,000 mL
2.6Ib30z+3Ib13o.z
5.5l-839mL
0. 10,001 g . 10 kg
3. Bgal2qt-6gal3qt
$.8kg-160g
I £<traf'racbceateduplace,comImap I Chapter 6 ExIra Practice 169
.e Use What You Know
Use lhls page to review and remember what you need to know lor this chapter.
VOCABULARY
Choose the best word to complete each sentence.
.. A __ would be the best graph to shOW" how many inches or rain jell on five different days.
2. When you collect information. you have __
that you can use to make a graph.
Vocabulary
bar graph cl,cle graph
".
line graph
CONCEPTS AND SKILLS
Copy and complete the Ireq",ency lable to tally how many times each letter occurs In the data set.
,.
••
••
••
,.- Tally Merits ,.~
A C,
Q