Dimls DECIMALS www.mthltis.o.uk
ow os it work? Solutions Dimls P qustions Pl vlu o imls 0 000 00 000 0 000 00 0 000 00 0 000 00 0 000 tnths or 0 thousnths or 000 hunrths or 00 hunrths or 00 0 tn thousnths or 0 000 000 0 tn thousnths or 0 0 0 000.. 0 000 0 0.. 0.0 P qustions Pl vlu o imls. # + # + # 0 00. 0 # + # + # + # + # 0 00 000 0 # + # + # + # + # 0 00 000 0 000. # + # + # + # + # + # 0 00 000 0 000 00 000 00. # + # + # 0 00 0 000 00 # + # 000 0 000 Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Pl vlu o imls # + # + # 0 00. 0 0 # + # + # + # 0 00. 0 00 0 0 # + # + # + # + # + # 0 00 000 0. 0 # + # + # + # + # + # 0 00 000 0 000 00 000 # + 0 # + # 0 0 00 000. 0 # + # + 0 # + # 00 000 0 000 00 000 00. 0 0 + + + 0 + 00 000 0 000 00 000 # # # # # 00. P qustions Approximtions throuh rounin numrs [nrst tn] [nrst hunr] [nrst thousn] (i). 0 (i) 0. 00 (i). 000 (ii). 0 (ii). 00 (ii) 0. 000 (iii) 0. 00 (iii) 0 0. 0 000 (iii) 0 0. 000 [nrst tnth] [nrst hunrth] [nrst thousnth] (i). (i)... (i). (ii)... (ii) 0. 0 (ii). (iii)... (iii).00..00 (iii) 0. 0 Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Approximtions throuh rounin numrs (i). m (i) 000 m (ii) 0 m (ii) 00 m (i) (ii) (iii) km 00 km Ths iits omin to rprsnt m. This is rlly smll prt o th totl istn o pproximtly 00 km (% o th totl istn). So thy r not rlly importnt s thy o not hv ny t on th pproximt istn twn th itis. Only importnt i rt l o ury ws n. P qustions Approximtions throuh rounin numrs [on iml pl] [nrst tn] [two iml pls]...0. 00...0 [nrst ons] [thr iml pls] [thr iml pls].. 0. 0...00 [nrst thousn] h [nrst ons] i [our iml pls]. 0 000.. 00...000 (i) 00 (i) 00 L (ii) (ii). L (iii) (iii) No. Bus ny iit in this pl vlu (tn thousnths) will not hv ny t on th pproximt numr o litrs lk rom th pool. Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Dimls on th numr lin. 0.0.0.0............0.0.0.0.0.0.0..0..0.0.. [tnth] [hunrth].0.0 ` th vlu. ` th vlu..0 [tnth] [hunrth] 0 0 ` th vlu. ` th vlu. 0 [thousnth] [thousnth]...0.0 ` th vlu.. ` th vlu..0 [thousnth] h [thousnth].0.0 0 ` th vlu..0 ` th vlu. 0 Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Multiplyin n iviin y powrs o tn # 00. # 0.00. 00.. # 000. # 0 000. 000. 000. 00. 00 00 # 0000 # 000 000 0... 0. 000 0.. ' 00 0 000 0. 0. 0 '. 0.. 00. 0 ' 0' 0 000 0. 0. 0 00 0. 00 0. 0 000. 000 ' 00 ' 00 000 000... 0. 00 00. 00 0 # 00 0. 0 00 ' 0. 000. 000 00 0 # 00 # 0 0. 0000. 00 0. 000. 0000. 0 ' ' 0 0. 00. 00 0.. Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Multiplyin n iviin y powrs o tn (i) 0 # 00 0 0 I n 000 ' N n # 0 0 A n 0 000 ' O n.0 # 0 0 X 0 n.0# 0 000 0 T n 0 # 000 000 0 R 0 n h 0 ' 0 I 0 n i 0 # 0 0 0 D n j 00 # 0 0 0 0 P n R A D I X P O I N T 0 n n n n 0 n n n 0 n n n P qustions Trmintin imls to rtions 0. 0 0 00. 00 00. 00 00 000 00 000 00. 000 h 00. 000 0. 000 00. 000 00 00 0 000 i j k l 00 0 0 000 Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Trmintin imls to rtions 0 0. 0 00. 00 0 00. 00 00 000 0 00 000 00 0. 00 h 0. 00 i 00. 000 00 j 00. 000 00 k 00 0 000 00 l 000. 0 0 000 000 P qustions Trmintin imls to rtions. 0. 0 0. 00 0. 00. 00 000. 00 000. 0. 0.0 00 0.0 00. 00.00 000 0 00.00 000 h.0 000 i. 000 0 0 Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Frtions to trmintin imls 0 00 00 0 00 000 0. 00. 0.. 0 0 00 0 00 00 0 000 00 000 h 000 i 0 j 00 k 0 00 0 00 00 0. 0. 0. 00 00 000 000 0. 00 00. 00 h 00 000 i 0 00.. 00. P qustions Frtions to trmintin imls ' 0 ' 0 0 ' ' ' ' ` 0. # # 0 # # 00 ` 0. ` 0. Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P qustions Frtions to trmintin imls ' 0 ' 0 ' ' ' 0 ' 0 0 # # 00 # # 00 `. ` 0. ` 0. ' 00 ' 00 h ' 0 ' 0 ` 0. 0 # # 00 ` 0. P qustions Frtions to trmintin imls. 000 ' 0. 0. 000. 000 '. 0 00. 000 '. 0 0 0 0. 0. 0.. 000 '. 0. 000. 000 ' 0.. 0 0 0. 000 ' 0. 0. 0 00... Dimls Solutions Mthltis Pssport P Lrnin
ow os it work? Solutions Dimls P 0 qustions Frtions to trmintin imls ' ' ' ' `. 000 ' `.000 ' 0. 0. 000 0. 0. 0 00 0. 0. ' ' ' ' `.000 ' `.000 '. 0 0 0. 0.000 0.. ' ' ' ' `.000 ' `.000 ' 0.. 0 0 0 0.. 0 0 0.. 0 Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P qustions Ain n sutrtin imls 0. +. + 0. +. + 0.. 0 0.. 0 0... 0. 0. -. 0 -. - h. - 0.. 0 0.. 0.. 0. 0. A. to. Sutrt. rom. A to. +. - 0. +.. 0.... 0 A.,. n Sutrt rom.0 A 0,. n.0. +. 0-0. 0 +. 0.. 0... 0.. P qustions Ain n sutrtin imls (i). +.. + (ii) +.. +.. 0 (iii). -.. - (iv). -. - 0.. (v). +. +. + + (vi). +.0 +.. + +.. Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P qustions Ain n sutrtin imls (v). + (vi). +.. 0 0.. 0... 0... 0 -. 0 0 0 -.... `. -.. `. 0 -... 0 0 0-0. 0. ` 0. - 0. 0. P qustions Multiplyin with imls 0.. # # 0. # #.p. in qustion `.p. in nswr #.p. in qustion `.p. in nswr #.p. in qustion `.p. in nswr ` #. ` #.. ` # 0. Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P qustions Multiplyin with imls 0. # # 00.. # # # #.p. in qustion `.p. in nswr.p. in qustion `.p. in nswr.p. in qustion `.p. in nswr ` #. ` # 0 00. `. #.. # 0..0 # 00.. #. # 0 # #.p. in qustion `.p. in nswr `. # 0. 0..p. in qustion `.p. in nswr 0 `.0 # 00. 00..p. in qustion `.p. in nswr `. #... #.. #.. #. # 0.p. in qustion `.p. in nswr # 0.p. in qustion `.p. in nswr # 0.p. in qustion `.p. in nswr `. #.. `. #.. `. #.. Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P qustions Diviin with imls. '. '. ' 0. 0 0... `.' 0. `. '. `. '. '. 0 '. 0 ' 0. 0. 0. 0 0. 0 0 ` ' 0. ` ' 00. ` '. '. ' 0.... 0' 0. 0'. 0. 0 `. ' 0.. 0'. 0. 0 `. ' 0.. '. ` 0. ' 0. 0. ' ' 00.. '.. 0. 0 00. '. 0 `. ' 0... '.. ` 0. ' 0.. ' 0.. `. ' 00. Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P qustions Rurrin imls 0. 0r.. o 0. o o 0.. 00. o o. 0..... C z F h N W D A U n P t L O m... Y n A m R T t K z E h R I U S... L D A m I h M t B S A U z Q n 00... R h Z A n E z A N t 0 M A h G.... A T z P T Y n A t A h C m A... I Y t A U n m I z E S m I t T... A L D t E A N L m E z O N h.... W J B A X h M m A U n A A z... P m V E F A n B T Y E I t... t A n A m A m U A A h A D R V I N C U L U M z h m n ' ' ' 0.. 000 ` ' 0. o 0. 0.. 0 0 0. 0 0 0 ` ' 0. o ` ' 0. o.'. ' 0. ' 0.. 0 0. 0 0 0. 00 `. ' 0. o `. ' 0. o ` 0. ' o Dimls Solutions Mthltis Pssport P Lrnin
Whr os it work? Solutions Dimls P 0 qustions Rurrin imls ' ' ' 0..... 0 0 0 0 0... 0..... 0 0 0 0 0. 0 0 0 0 0 ` ' 0. o ` ' 0. o ` ' 0.... Rurrin iml? X Ys No Rurrin iml? X Ys No Rurrin iml? Ys X No. '. ' 0. ' 0..... 0 0 0 0 `. ' 0. 0..... 0 0 0 0 `. ' 0. o. ' 0.... 00 0 0 ` 0. ' 0. 0. Rurrin iml? Ys X No Rurrin iml? X Ys No Rurrin iml? Ys X No ' 0' 00. 00 ' 00 h i. '. '. '..... 0 0 0 0 ` 0. ' 0.. o.... 0 0 0 0 ` 00. ' 00. 0. o. 000. 000 ` 00 ' 00. Rurrin iml? X Ys No Rurrin iml? X Ys No Rurrin iml? Ys X No Dimls Solutions Mthltis Pssport P Lrnin
Wht ls n you o? Solutions Dimls P qustions Simpl rurrin imls into sinl rtion h 0 i (i) (ii) 0. o o.... Evn thouh th vlu pprs s rptr, it tully quls whol numr P qustions Cominin iml thniqus to solv prolms Amount o yllow pint #. ml # 0.p. in qustion `.p. in nswr ` #.. ml o yllow pint Dimls Solutions Mthltis Pssport P Lrnin
Wht ls n you o? Solutions Dimls P qustions Cominin iml thniqus to solv prolms Amount o yllow pint #. ml #.p. in qustion `.p. in nswr ` #.. ml o yllow pint ` Amount o rk-rn pint.+.. ml. ml (nrst tnth) #.p. in qustion `.p. in nswr ` Numr o wors typ in minuts.. wors Slowst tim ror. sons sktrs h tims lss thn. sons...so sktrs m it into th tm.. + 00.. So sktrs miss out y lss thn 0 sons Dimls Solutions Mthltis Pssport P Lrnin
Wht ls n you o? Solutions Dimls P qustions Cominin iml thniqus to solv prolms Th minimum sinl or rs is, thror n to lult ' 0 I Lur is workin. m wy rom th ntnn, thn th sinl rops totl o. # 0 0 000 000 0000 # Sin iml pls in qustion, n iml pls in nswr 0000 `. sinl strnth rop whn. m wy `.0 -. sinl strnth sinl strnth ` Lur will hv rs o sinl strnth (ut only just!) Th totl tim or sps twn sons # # 0.p. in qustion `.p. in nswr ` # 0 ` Th totl tim or sps twn sons 0 min ` Thtotl lnth o thvio. +. +. +. +. + 00. min. min. 0 minutstoth nrstminut Dimls Solutions Mthltis Pssport P Lrnin
Wht ls n you o? Solutions Dimls P qustions Cominin iml thniqus to solv prolms Th totl numr o popl ws not prt multipl o th numr o houss survy, whih will iv iml nswr...so, on vr thr r. popl in h hous, ut h hous will hv irnt numrs, lin to this rsult. Th totl mount o "Sl-X"... -....... Th mount o "Sl-X" in h jr... '..... ` Th mount o "Sl-X" in h jr. o ml. ml to thnrst wholml Evry 0. o hours vry o n hour tims n hour! # ` Th wvs inrs in hiht y m vry hour. ` Th tim tkn to t to sur-l hiht ' ' 0..... 0 0 0. o hours.0hours 0 minuts ` o hours 0 minuts ` popl strt surin tr hours, 0 minuts. 0 Dimls Solutions Mthltis Pssport P Lrnin
MULTIPLYING AND DIVIDING BY POWERS OF TEN.../.../.. DDIVIDING WIT DECIMALS IVIDING WIT DECIMALS.../.../.. ULTIPLYING WIT DECIMALS.../.../.. MMULTIPLYING WIT DECIMALS ECIMALS ON TE NUMBER LINE.../.../.. DDECIMALS ON TE NUMBER LINE.../.../.. LACE VALUE OF DECIMALS PPLACE VALUE OF DECIMALS