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# Lesson 8 (part 1)

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### Lesson 8 (part 1)

1. 1. ii ffird*r *f #pæs.æ€*æræs Ycu hav* ade\$eci, s*htri:cï*d, ma,;Ëtiplled, r:r d[lie{*d wif.h ovh*[e n*r"rtÈrerç. Âdd, sq.;i:tra{t, n}irlïip*y, *nd divide ar* *p*rati*ns. in This l*sscl,ycl-l wilï g:erf*rn: e*le ul,:ti*srs e;*inel iTlrJr€ tharl one *peraii*n. k; v;in fr r*Onlesl, hl*rryr eiad nrilst âristlldei"thi: skiii-t*:;tinq questi*i"l: ,;+3)ri*--4.: F. Ë-is:d th* answer in æs r"*any yûli {âil wæys ax b Ë*cord the straTegy "y#u us* fnr each method F, Tf"ic ecrrect *i:sw*r is â3. Which stratÊçy çives this answer? S\$sæw ffi*xæræ Shar* ytur uvcrk r*r"lth an*tl"ler:tucf ent. lliser:s: hr:w T* vers,riï* th* qu*sti*n s* lh* *n!y pcsçiË;ïe ansvç*r i5 23 Shen y*il sclv* e pr*trlern that u:*: rrr*r* than *ne *p*r*tion, tlr* arrsirl{*}"d*per"ie{s *n ihe *i"c{*r in lorhiçh ycu p*rforrn the *:pnrati*ns S*l,ve th* expr*s:ion; 3 + 6 >i 4 lf yr:* ar{r.l first,Y** çet: I x 4 : 36 Ârr *xpressi*n is a *"ralhsrnali*al statsn:*nT lf yclr: multipTy{it"st,y*u E*i;3 - ?:i : 2l rrvitlr nun:h*rs a*d *p*rali**ll. When we *alc*laT* thç an*w*t we s*lve th* *xpre*cian. T* av*id SâtIinç twû âilsnrer5, Ther* is a rui* that n"rultipTicati*rr is d*n* bef*re adeliticn" 5*,3 * 6 >< 4 = 3 * ?4 : â7""nihieh is th* c*rr*rt an\$ry*r ffi& â-gsg*ru Ë*gu* i"i:e *e cô:-:^ec.i crd* *i *perc?i*n*
2. 2. 1#e uç* br*ckets if we want centair: op*raticns carnied *ut first.1"* *rake slire Ëv*ryûne çets the sanre ênstuver when sarlvinE,:ri *xprsssicn, v*e usc this çrder *f erperatians: . ilç the *peratior"rs in bræckets. Multipiy and divide, in order, frorn left to right. Then add ancl subtract, in *rder, fr*m left to right.F T*lve: T6_T4 *} t- t6 * 14 î 2 i ! -,p Sclv*: 1S *,l*""r- 6 ]8 lû {- 6 1 + x S+\$ x14P. 5*lve: 7"{q rQ! 1 ,,, lA 1. lT +. 8l à * "7 -, 1) Dr: ti re cp,+rlirr iii i:ri:çi.lei: |ir:t, *\$4 L1 + ,1: 1,t l"irei.i nii:iiis-rigr i :{ i:1 : rjii îh|: Of,,:lgt, ai L-rl--rrrt,. i.l:ii,rl,r lJr r r- t-:11; clc llivr,ir,: M,-rii ipiq Â.id.ti:rc \$iilrirrct Unit? LessonS ffiS
3. 3. iiiri T. Solve ca*T: *xpe*sti*n. U:* tt"l* *rrj*r *f *p*rati*n:. *3 13 -i 4 x: h3:5- i:"1 3 *l 2zl -r 35 -r * d) l3 ^ * - li *F 5iï * ?)iS trË 7 x i2 -t- SJ s! \$1 + !] *-s h3 :5 -i- t** 4i g3 !3- *, t8 â" 5*rne e*icul*Tr:rs f*l!*vr the *rdsr *f *ç:erati*ns" tlth*rc d* *q:t. ilrcs.,t; P i: I g Fl g i:i ***s y**r r-alcr"rlat*r f*\$l*r,,r Th,: *rder *f erp*i"atielr:s? ilxplain hcw y*u knçw. s" ffiiai-rca*erieied s: i-:t # [.n ] 1- j in her cekul*[*n. Shr: ç*t fi:e ansvr*r I ?*" {ri u;hal- *r"c.jcr dici Siancaç c*ic-*l*îcr perf*r*: lh* *pcraïi*ns? \$-4orç daiiû{-} kn*ÂJ? 4- l".jse sn*ntal n:;*th t* snirra. *3 ârlt** - 4*S* ).. ;l tu) 6 -t- 125 -:- 25 c3 {1**Û +6*:}{}i }l 3 {*}SÛx3:t *? 5 ){ {4 l- ]i} éï 5*-i5*+5* ff} {5* - 5#} :- 5* tu} i? x Iil) ^ {3* + 3*: *3 16-:2xç g3 2*Û * i?Û* : "?il) ffi. {".}5* mcnlôl maTll t* **lvE" æ)4X7*:-+-1 h)4)((T*:") f"1 *1 4 >i7 - {l * tl d3 4 >1 i?-* : +" li e! i4:l 7*:) r-1 f3 4 )( T * i: | 1i lqihich €xi:r#:çiûTi çiv*l ih* ç r*at * :T r* ilsçvc rl Th,: i*æsT an*lci*i? d4 fr i-J:* t?-le nun-lb*rs 3,3, *rici 4 ar:d âr1: sp*t*ti*ns *r braek*Ts. l,Vrite ân *xpr-#ssi*n thal *çu*1* *ô{f} nuffibçir. #* 3 æ3* e3Ê 1* *l 1,+ d3;* *36 Try T* d* ehiç n:*r* th;n *n* wêy. il*w nr:any different afisiryeis {i3fi "t*t.t ç*i by ir":sertir:r} #n* pâir *f L:r*ck*t:: ir: thi* *xpressit*? jû r- 6 __ 4 + 2 Y. 3 ffrite *;:ch *xpreisi*r1,1-h*n s*lve !t. S& &sExçsmg*sr \$<)*g:\$ | Gueçti+r: S ljrit 2 l-*srr:,ri f;
4. 4. A[*xi b*xçht 5 T-:hirTç fçr 5] ? each fr*,ruand 3 pairs of sccks f*r \$J e pair"Whieh expressi*n Ehr:v-s h*w rnuclr Al*xi rp*nt in dsilar*?HNplain"a! 5x1:X3x2k3 5.r: 12 r- 3;{ 2*l {5 + 3i :{ {1} + 2iCh*os* mr: ntal math, a calcuiat*r, *r paper andtç sç{v*.F*r *ach questi*n, h*w did you deeie** çvlrieh methtd to usele3 ?38 - {: x. 73} h\$ 47 r. i1S r. 1S)*! {3S {" 14} + "T* *335x{4ExSielS*Xi.4+?: s3 {2** + 5û} ){ iû + 3) fu1r. firadshaur hcuEl-rt ? b*xes çf frr.;it b*rs f*r his 3 ehildren.[ach: box has 6 frr.rit bars.The ehlidren shar*d tire fruit bars equaiTy.Holv rnany fruit b*r-q dtel *aefr *hilei çet?Writ* a numi:er s*ilten{e tc shcw th* *rder *f *pcrati*ns yr.:u used. {cpy *ach r:urnber sentenÇe. LJse brackeTs t* r*ak* each nurnber sentenee true. a3 3S-i,4x3.=3 b!?*+5){}-i 3 *l i* - 4 + ?-* l * i:. Ntlmhsr Strnt*gi*s Write each nurnber in expandcd frrm, and in worcls. . 2S 4û8 5lgA/hy d* we need rules for the order in which we 10Ë 5\$S Sû4perform operations? . 4ilt t17fiiv* examples T* suppsrt ytur a*swer" . I 87? û*3 * 89 {}tS 2û0 Unii? Less*ng SY