> Numbers with tenths, hundredths, and thousandths can be. three tenths one and seven hundredths two hundred thirteen thousandths

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1 gthusandths Quick Revie > Nubers ith tenths, hundredths, and thusandths can be ritten as decials. T ^ i 0.21 three tenths ne and seven hundredths t hundred thirteen thusandths T> Yu can use a place-value chart t sh decials. Tans OSDSS (^ Teths yundredtlis Thusandths 4 (> 6 2 Yu can rite decials in expanded fr = 4 nes + 6 tenths + 2 hundredths + thusandths = Trf TBiis,..,,,,,.. 1 Write each nuber as a decial. a) -Jk 0.07 h] 2j c) 2"^ 2.19 d) Sf ) 216^ f) S Write each decial in expanded fr. a) + h) B Write each nuber in rds t hyeidred thirtv-fur thusandths h) senteen and six hundred thirt-seen thusandths

2 Praetiee 1 Recrd each nuber in the place-value chart. a! 76 thusandths fe) 16 and 56 thusandths c) 185 thusandths d) 9 and thusandths fnkndreds TSEfBS Ones 4 Teffiifihs Hundredths THhcsusandths a) b) 1 6 > i L" 0 0 «1 d) f 0 2. Write each nuber as a fractin r a ixed nuber a).047 ^l b) i c) 0.79 i d) i 2.72 If) " t. Write each nuber in questin 2 in expanded fr. a) b) MS c) ) 0Q1 e) f) Write each nuber as a decial. ) fb) 17q c) i d) 5-ii Mai e) &S6Z n W 0-<X«Stretch fur Thiikini _ Use the digits 0,2,, and 6. Make a nuber that is greater than 1 but less than 4. Find as any nubers as yu can. 2.06,2.06,2@ig 2.60,261,.026,.062,.206,.260,.602,.62 9

3 "I * paring and ng Decials Quick Revie The table shs the asses f Henry's kittens. Here are 2 ays t rder the pets fr least t greatest ass. Kitteeu Mass (kg) Ff 0.95 Quigley 0.64 Oscar 0.91 > Use a place-value chart. Tenths Hundredtlhs Tlhusandths 0 < < <» 9 1 All nubers have 0 nes and tenths has the least hundredths, s it is the least nuber has the greatest nuber f thusandths, s it is the greatest. The pets in rder fr least t greatest ass are: Quigley, Oscar, Ff. > Use a nuber line tthiiiii lllllllllilllllllll lllllllll lllllllll lllllllll llltillll lllllllll IINTiTrt1«lll»llll Reading nubers fr left t right gives the asses fr least t greatest. Tn. 11 Use >, <, r = t ake each stateent true. ) > b) 17.6 = e) <_ 6.0 2= Order the nubers fr greatest t least. 0.6,0.71, ,0.6,0.29 b) 2.76,5., ,2.76,2.485

4 ecials Quick Revie Yu can use a nuber line t rund decials. > Rund 2.56 t the nearest hle nuber i I S 1 H 1 f is beteen 2 and, but clser t 2. S, 2.56 runded t the nearest hle nuber is 2. Rund 2.56 t the nearest tenth b is beteen 2. and 2.4, but clser t 2.4. S, 2.56 runded t the nearest tenth is 2.4. > Rund 2.56 t the nearest hundredth is beteen 2.5 and 2.6, but clser t 2.6. S,.2.56 runded t the nearest hundredth is 2.6. Trf Ties 1 Rund t the nearest hle nuber. a).06 1 Eb) 7.7 S c) d) Rund t the nearest tenth. a) lb) c) d) c Rund t the nearest hundredth. a) lb) CI c) d) ,14

5 ; Quick Revie ^ Here are ays t estiate > Rund each decial t the nearest hle nuber: = 7 }> Rund nly 1 decial t the nearest hle nuber: = }> Rund each decial t the nearest tenth r hundredth: ,4 = = 6.97 Here are 2 ays t estiate }> Rund the secnd decial t the nearest hle nuber: = 2.58 > Rund bth decials t the nearest tenth r hundredth: = = 2.12 Ties 1 Estiate each su. SapBe Ansers a) b) c) @ 1 d! f) ijil 2 SUQI 2. Estiate each difference. Saple Ansers a) h) c) , 4.6 d) <s) f) J.8

6 Quick Revie > Yu can use place value t add 5.76 and.949. Step 1 s Estiate. Step h Add as yu uld ith i 11 Rund.949 t Add: = hle nubers is clse t the estiate, s the anser is reasnable. > Yu can use place value t subtract.949 fr Step 1: Estiate. Step 2i Subtract as yu uld Rund.949 t Subtract = ith hle nubers is clse t the estiate, s the anser is reasnable. 1 Add. a! t) c) ) Bll II <$ 1 S Subtract. a) 9.72 fe>) 6.71 ) d) ,27 JQSS

7 1 Add. Use subtractin t check each anser. a) S@ h) ci (S! @ <S 27 7c d) 0.57 B 7@ n 6.24 SI , ,875 Mi S ,24 Subtract. Use additin t check each anser. a) b) ) S , d) fi (S , , 7 7,82 The difference in the asses f 2 bjects is kg. Saple Ansers! What ight the ass f each bject be? 2,567 kg and kg lb) What ight the bjects be? T beef rasts 4. Salvatre ran k n Saturday and.169 k n Sunday. a) H far did Salvatre run in all? k b) H uch further did he run n Sunday than n Saturday? lulk Stretch Yur Thinking Use each f the digits 1 t 8 nce Saple Anser t ake this subtractin true

8 ^ Multiplying Decials by "7 10,100,1000, : Quick Revie Use ental ath t ultiply a decial by 10, > When yu ultiply a decial by 10, the digits shift 1 place t the left. Yu sh this by ving the decial pint 1 place t the right. > When yu ultiply a decial by 100, the digits shift 2 places t the left. Yu sh this by ving the decial pint 2 places t the right. > When yu ultiply a decial by 1000, the digits shift places t the left. Yu sh this by ving the decial pint places t the right. > When yu ultiply a decial by , the digits shift 4 places t the left. * Yu sh this by ving the decial pint 4 places t the right. 100,1000, and X 10 = X10 = X 10 = X 100 = X 100 = X 100 = X 1000 = X 1000 = X 1000 = X = X = X = 8000 Ti Use ental ath t find each prduct. H a) 6.5 X 10 = 5 b) 7.4 X 10= ISA c) X 10 = 4, X 100= X 100= X 100 = 46,1 6.5 X 1000 = X 1000 = X 1000 = X 10000= X = 7 4@@ X = a) 1.9 X 10 = 19 b) 6.7 X 100 = 67 c) 9.65 X = 9 65 d) 2.6 X 100 = X 1000 = 72 f) X 1000 = 4^6 ) 2.6 X 10 = 26 h) 1.12 X 100 = 112 I) X = 5B6

9 Cvl *1 'fl 000 J 00 Quick Revi \W Use ental ath t divide a decial by 1C }> When yu divide a decial by 10, the digits shift 1 place t the right. Yu sh this by ving the decial pint 1 place t the left. }> When yu divide a decial by 100, the digits shift 2 places t the right. Yu sh this by ving the decial pint 2 places t the left. }> When yu divide a decial by 1000, the digits shift places t the right. Yu sh this by ving the decial pint places t the left > When yu divide a decial by , the digits shift 4 places t the right. Yu sh this by ving the decial pint 4 places t the left. 100,1000, and r 10 = e 10 = e 10 = MOO = e 100 = MOO = ^ 1000 = ^ 1000 = = ^ = e = = Use ental ath t find each qutient. 1. a) MOO = 8.2 -r = 5 -MO = 5 M 00 = 5 = 1000 = 5 = = 2 si).4 -r- 10= * 5) 0.5 -MOO = g) 5.17 MO = 1.6 = 100 = 8 = = 9.6 = 1000 = 1.12 = 1000 = J 7= = =

10 Multiplying Decials by a Whle Nuber Quick Revie. v Yu can use hat yu kn abut ultiplying hle nubers t ultiply a decial by a hle nuber. Multiply: 2.96 X 4 ^ First estiate. Rund 2.96 t. X 4 = 12 S 2.96 X 4 is abut 12. > Recrd the nubers ithut the 296 decial pint. X 4 Multiply as yu uld ith 24 hle nubers. 120 }> Use the estiate t place the 600 decial pint in the prduct is clse t 12, s ^ X 4 is Tdi/ TGids Multiply. 1 a) 5.18 b) 1.74 c) ) 9.41 X 5 X 8 X 4 X 2 WM(B2

11 < <g 2" S 5" = ^ 1 ^ O, c c n O" ivj U1 ^ k \Q\ c t c p\ uu O" v- M ' ii I.. "-'--'-^-""t! CB VO TO vd 4^ 4^ VO TO KJ isj \ Vl b h TO VO b p kj 4^

12 ntik* Decials by a jbe Quick Revie Here is ne ay t divide a decial by a hle nuber. Divide: > Recrd the nubers ithut the decial pint. Divide as yu uld ith hle nubers. )> Estiate t place the decial pint 7.98 runds t is 4. The anser ust be a little less than 4 S, =.969 7> Check by ultiplying:.969 X 2 = 7.98 S, the anser is crrect Try These 1 Divide. i) b) c) d) l 2j1(S 2s[i@ 4^5 2\@ 9*4 8 f ^ f) ) b) l@f 224 4\7B29'6 2\V26B 6\7%42 1f

13 ID0) c c? ^ O (D C 00 Q Q. 0 C. Q. <B 01 KJ b vo U" CO CQ fil t r u FS= g & CT a c t ID tag td 10 * JSi SI "O t O io Q r cr r+ H) a, rb 9i EL O xj xhda yn if MIs) ID Q. (D n> "D D </> L en "O CO a n i/i yy > CO -a W \D \ \ UJ "D Q CO O n * W.? ^ -S S s. " a. Q: </> l s«n rr ^ IQ n OCO ID i/i ^ LJL KJ. 0^ 0 0) X yn X yy yy) i yi in sg =Si u; X X czz^ yi] 00 yy yy 9 <&> s UO n SI x ^ ' ^ X P y ^ =a -* KJ» si yy SD IM X 00 ^ a x P N Oi _a W W ( ) KJ H r+ nzr nt^r n" VI 1 n, cfb CO *, UJ n UJ n UJ \ \ UJ UJ S en & sa ON 00 SJ KJ Uni yy 4^ S KJ O yi] U1 " 00 N XJ KJ & KJ yy XI UJ 00 9 <* l

14 Quick Revie }> Divide: Estiate first: Rund t ^5 = 2 S, T- 5 is a little less than 2. Divide: q Q472«/14n -i Seties yu need t rite zers in the dividend s yu can cntinue t divide until the reainder is 0. Rund the qutient t the nearest thusandth: h- 5 is abut > Divide: 25 Estiate first: Rund 25 t = 8 S, 25 - is a little re than 8. Seties vu never Divide- SPSJO'O'OIO seties yu never ',. /get a reainder f zer. 8. l s This is called a repeating decial. Rund the qutient t the nearest tenth: 25 - is abut 8.. Tr 1 Divide until the reainder is zer. as) lb) c) lifis 4 6 dl) ) f) 8 Q

15 01 A a 01 < "O 01 r I r r 0\ _ <ID W> ^ ^ Iff S ^1 fd a. <ID g-fa 1TJ K ID< ID ID ai/i a IDASSiSI a ID ifi ui tt J a; t O -n t a a- r cn 0) O < IDO" a jt ' : a, <0 l e ID A O- "< zr ^ i/* *» C ^ H, #? > *n b at a p ID O cb ID FS* cr e \ x -i ^ < -u n> 0= ia N IA l/> OJ q: S. a> 00 & "D n> LA N N (Q v! ^j =0 c bm00 JT W a. 00 A M a bm {a L (519 JT Oe b ) A a > x < - a fd 2 SL O c "! ^ ^ 1 n) Q. J. CL D u> 8? S" qj t % ^ ^ a) i- UJ \ \ ^5 I i r+ f-+ C =» ^ l/j O cn a u -i IA O a A 0" C y y H (D r MB 0" IT < Kl +yi> Nl M\ b cy un O <n ^ U) y, MD 2"? c < Q. in - = O X c 8"* GL ^ fd 8 TO Q. j/j -5 r "S s g? 8 ^ d r r+ VO s S Q. ID g O" " 10. fd O «-* O "D «-+ -s aj rp = " phh 0 N 2L LA LA iy UJ M O M -I- 00 ON c LA fd n n E. 0 Q. <* 01 U1 ^ c D= fd n" c r-t rt)' fd c 0= Q. s hj b ^ Kj xj M yu O s KJ 00 cy In U1 ON y A Ul NJ KJ xj ^ y ya ON 2) 9 <S CL C IT Si. OL 175' N

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