]] Representing Numbers

Transcription

1 g-i ]] Representing Numbers Represent 3-digit numbers in different ways. 1. Write each number as a numeral, a) three hundred twenty-ne 321 b) tw hundred ninety-five 295 c) five hundred sixty 5 Q. 2. Write each number using numerals and wrds. a) fur hundred twenty-three H hundreds 2 fens 3 nes b) seven hundred sixty-six 7 hundreds 6 fens 6 nes 3. Lee has ne hundred frty-three mdel cars in his cllectin. Write the number f cars using numerals and wrds. lliiiljyhib! A numeral is the written symbl fr a number. Fr example, 4, 16, and 392 are numerals. A digit is ne f 0, 1, 2, 3, 4, 5, 6, 7, 8, r 9. Yu can shw numbers in different ways. Fr example, the numeral 274 has three digits: 2, 7, and 4. The digit 2 in 274 means tw hundred. The digit 7 in 274 means seventy. The digit 4 in 274 means fur. The number 274 is read tw hundred seventyfur. It can be written as 2 hundreds 7 tens 4 nes. I hundred H fens 3 nes 4. Write the numeral fr each mdel, a) 2H0 b) j y Q Q IBS 10 Nelsn Math Fcus 3 Wrkbk Answers Cpyright 2010 by Nelsn Educatin Ltd.

2 QSGBEG Z6 Representing and Renaming Numbers Use regruping t rename numbers. Yu will need base ten blcks. If yu d nt have base ten blcks, just sketch yur mdel. 1. There are 52*1 flwers in Nala's garden. a) Mdel 521 with the least number f blcks. Sketch yur mdel. Hundreds Tens Ones Regruping is when yu trade 10 smaller units fr 1 larger unit, r trade 1 larger unit fr 10 smaller units. Fr example, 2 tens and 12 nes can be regruped as 3 tens and 2 nes. nr II Yu can rename a number by regruping. Fr example, the numeral 474 can be written as 4 hundreds 7 tens 4 nes. Yu V can rename 474 by regruping: b) Regrup 1 hundreds blck as 10 tens blcks. Sketch yur new mdel. f Hundreds Tens lillll HUH Ones ) Regrup 1 hundred as 10 tens: 3 hundreds 17 tens 4 nes Regrup 1 ten as 10 nes: 4 hundreds 6 tens 14 nes Regrup 2 hundreds as 20 tens: 2 hundreds 27 tens 4 nes 2. There are 134 huses n seph's blck. Mdel 134 in 2 different ways. Sketch yur mdels. Hundreds Tens Ones 1 (Hundreds Tens Ones ODD Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2: Numeratin 11

3 309SDQ Mdelling Numbers Mdel 3-digit numbers. Yu will need cunters. 1. Lee, seph, and Rsa ran a race. Mdel each race time using cunters. Sketch yur mdels. a> Lee's time: 157 secnds V Hundreds Tens Ones b) seph's time: 319 secnds At-Hme Help Yu can use cunters t mdel a number n a place value chart. Fr example, if yu place 3 cunters in the hundreds clumn, this is the same as 3 hundreds blcks,' r 300 if yu place 1 cunter in the tens clumn, this is the same as 1 tens blck, r 10 if yu place 5 cunters in the nes clumn, this is the same as 5 nes blcks, r 5 V Hundreds Tens Ones O n O O Rsa's time: 203 secnds Hundreds O Tens Ones \ ) 2. Write the numeral fr each mdel. a) 336 Hundreds Tens Ones O O O OOO b) 152 Hundreds Tens Ones O O O OO O O O 12 Nelsn Math Fcus 3 Wrkbk Answers Cpyright 2010 by Nelsn Educatin Ltd.

4 / i Cmparing and Ordering (*} Numbers Cmpare and rder whle numbers. Yu will need cunters and a place value chart. 1. Is the first number greater r less than the secnd number? a) 134 is less than 135. b) 356 is greater' than 256. c) 752 is less than 762. d) 481 is e) 397 is greater less than 184. than 739. f) 171 is greater than List the numbers in rder frm least t greatest. Use a place value chart and cunters t help yu. a) Yu can mdel numbers n a place value chart t help yu cmpare and rder them. Fr example, yu can mdel 341 and 431 n place value charts. Hundreds Tens Ones OO f Hundreds OO OO OO OO Tens OO O Ones V 341 has 1 hundred less than 431. S 431 is greater. O > , 333, 27, 512.7^6 b) H \ Game Scrns 3. Lucy and her friends played a bard game. i ^f_ c^ a) Organize the game scres frm greatest t least. ^ \VAenri 3l2 312, 30it 2 8 it 237 jjj \ $A b) Wh had the greatest scre? _ Henri c) Wh had the lwest scre? ^ac, u Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2: Numeratin 13

5 Using Number Lines Represent, cmpare, and rder 3-digit numbers n number lines. 1. Place these numbers n the number line belw: 12 75, < i pli i M v i i w i i i )i [ > a) Label the number line belw t shw cunting by 10s frm 420 t Yu can use a number line t cmpare numbers. Fr example, t figure ut if 301 r 270 is greater, place bth numbers n a number line ) r-> is farther t the right, s it is greater than 270. < I- -4- f-*4 h I* i > b) Place these numbers n the number line: c) List the numbers in part b) frm least t greatest Marc cmpared bicycle prices in a stre. $399, $372, $420, $355, $435, $489 a) Place the prices n the number line <- 7^ 1 * ( ) > / 4-* ^ 1 h 1 1 ^ ir b) Which price is the greatest? ft Nelsn Math Fcus 3 Wrkbk Answers Cpyright 2010 by Nelsn Educatin Ltd.

6 O^SBEffl (5 Cunting Mney Use skip cunting t cunt the value f cins. 1. Cmplete the skip-cunting patterns. a) 25, 30, 35, HQ 5 50 f b) 40, 50, 6d, c) 50, 75, 100,, a) Skip cunt t calculate the value f 7 dimes. Write the number pattern , 0. 50, b) Skip cunt t calculate the value f 4 nickels. Write the number pattern. 5.10, c) Skip cunt t calculate the value f 6 lnies. Write the number pattern. Yu can use skip cunting t cunt cins. Fr example, yu can skip cunt t figure ut the value f 6 quarters and 5 dimes. First, skip cunt by 25s six times: 25, 50, 75, 100, 125, 150 Next, skip cunt by 10s five times, starting at 150: 160, 170, 180, 190, 200 The value f the cins is 200 cents , d) Skip cunt t calculate the value f 8 quarters. Write the number pattern. 25, 50,75, ,175, Lily has 3 lnies, 2 quarters, and 4 dimes. Hw much mney des she have? Fr example. I will use skip cunting, " 4 "*\ lnies: quarters: 325, 350 dimes: Lily has 390 cents. 7/ Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2: Numeratin 15

7 j 7 l^eesgq ( Estimating Quantities Use amunts yu knw t estimate ther amunts. 1. Marc's family planted a vegetable garden. T estimate is t make a reasnable guess abut a measurement r an answer. Here is ne way t estimate: Draw a rectangle arund 10 carrt tps. Use yur rectangle t estimate the ttal number f carrt tps. e.g Circle the best estimate fr the number f bjects in each picture. a) (59) X) ) >00:;0000t, j : 00',) 00 >. 33> Step 1:»Cunt the number f bjects in a small sectin f the whle (fr example, a rectangle f 10 bjects). Step 2: Visualize hw many small sectins make up the whle (fr example, 7 sectins). Step 3: Skip cunt t estimate the ttal number f bjects (fr exarnple, skip cunt by 10s seven times). b) 50 (200) 600 I^R C T ^^s- Su^gK ^^.j^r ^^^^^^ i i! ^W^ >^W- ]^^^ ^^^^ k^^ I^^^ I^^R I^^^ j^^w- ^^^^ ^^^^k^^^ 1^^^ ^^^^ 1^^^ i^^^ l f }^^^ ^^^^ j^^^ j^^^ f i^pt 1^^. T h k f h l k f UK i^tt* ^^.^^^!^^^. I^^R 1^^^!^^^ j^^- C j^^^ T i^w. j^w 1 j^^- t^^^^^^ T 16 Nelsn Math Fcus 3 Wrkbk Answers Cpyright 2010 by Nelsn Educatin Ltd.

8 ^ 9 Ly309SOD () Explring 1000 Explre and describe A building has 100 windws n each flr. There are 10 flrs. Hw many windws des the building have? Skip cunt t calculate the answer. 100, 200, 300, 400, Lee has 6 packs f cards. Rachel has 4 packs f cards. There are 100 cards in each pack. Hw many cards d Lee and Rachel have in ttal? Sketch hundreds blcks t mdel the answer cards 3. Cntinue each pattern. a) 995,996,997, b) 875, 900, 925,?^0 c) 950,960,970,! 9. d) 975, 980, 985, Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2: Numeratin

9 ^ fej Slving Prblems Using an Organized List v Use an rganized list t slve number prblems. 1. Sarah has 3 cins. They culd be quarters, dimes, r nickels. Their ttal value is less than 30 cents. What cins might she have? Finish Sarah's rganized list t slve the prblem. An rganized list is a way f putting infrmatin in rder s that yu d nt miss any pssibilities. Quarters Dimes Nickels Value 0 0 " H HQ She might have 3 nickels, r 2 dimes and 1 nickel r 1 dime and 2 nickels. 2. Henri has 2 base ten blcks. The value f his blcks is greater than 100. What blcks might he have? Hundreds Tens Ones Value He might have 2 kindreds, r 1 kindred and 1 ten, r 1 hundred and 1 ne. 18 Nelsn Math Fcus 3 Wrkbk Answers Cpyright 2010 by Nelsn Educatin Ltd.

10 cy~\ Skip Cunting frm # Qfi03 ffl IXO Any Number Skip cunt by 2s, 5s, 10s, and 100s frm any number. 1. Cntinue each skip-cunting pattern. 1. <f0g b) 30, 32, 34, c) 55, 65, 75, d) 7, 17, 27, 37, ^ f Skip cunt frward by 2s.», » ,, _,. _ a) 26, 8 30_ b) 432, V) H3* 3H tto 3. Skip cunt frward by 5s. a) 40, 1 L _ b) 112, ; Skip cunt backward by 10s. a) 88,. 78 f 68 j b) 274, 2m 25H 58 2^ 5. Skip cunt backward by 100s. a) 640, 5'iO HH0 3^0 2H0 b) 923, 82; Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2: Numeratin

11 -1 Skip Cunting by 3s and 4s Skip cunt frward and backward by 3s and 4s. Cntinue each skip-cunting pattern. a) 3, 6, 9,,, b) 4, 8, 12, c) 30, 27, 24,,, d) 40, 44, 48,, :, :2.!... Vanessa had 28 bxes f raisins. She gave 4 bxes t each f her friends at her birthday party. There were n raisin bxes left. Hw many friends were at her party? Write a skip-cunting pattern t slve the prblem. 3, Cntinue each skip-cunting pattern. a) 12, 15, 18, b) >2, 16, 20, c) 24, 28, 32, d) 24, 27, 30, e) 48, 44, 40, f) 48, 45, 42, ". I->th h'ricus 3 Wrkbk Answers Cpyright & 2010 by NPIM.HI Fdin.itin Ltd

12 ( ae$&? 2 Test Yurself Circle the crrect answer. 1. Which number des this mdel represent? Hundreds Tens Ones 426 C. 246 \ j B. 624 D. 264 a a a a a a 2. What is anther name fr 315? A. 3 hundreds 6 nes B. 2 hundreds 2 tens 5 nes C 3 hundreds 2 tens 4 nes D2 hundreds 11 tens 5 nes 3. Which numeral matches this mdel? A. 771 C 671 B. 761 D Which number is greatest: 301, 276, 299, r 322? Hundreds Tens Ones O O O A. 301 B. 276 C)299 D Allisn is cunting dimes: 10, 20, 30,... Which numbers cntinue her pattern? A. 50, 70, 90 B. 31, 32, 33 (c) 40, 50, 60 D. 35, 40, What is the best estimate fr the number f flwers in the picture? A. 20 C 200 B. 100 D Which numbers cntinue this skip-cunting pattern? 21, 24, 27,... A.) 30, 33, 36 v. y B. 31, 35, 39 C. 29, 31, 33 D. 28, 29, 30 m -3 m '' 'A - "j{ rx ;'-\ f \ r*a ~ jr { >y ' j "t^ tjc ^ i'f\ t XT^ ; f) 8 c t y % :p} -r) ^jp ' c.3 C \ :r\ j :x\ 3 v3 Cpyright 2010 by Nelsn Educatin Ltd. Answers Chapter 2; Numeratin 311