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5 za matematiko v 5. razredu osnovne šole 1. del SVET MATEMATIČNIH ČUDES 5 Delovni zvezek Mara Cotič Darjo Felda Bruna Bremec Danila Grželj Marija Pisk Vesna Vršič Nevija Benčina Smotlak

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Page 1: SMC 5-DZ

518,00 EUR

za matematiko v 5. razredu osnovne šole 1. del

SVET MATEMATIČNIH ČUDES 5 Delovni zvezek

Mara CotičDarjo FeldaBruna BremecDanila GrželjMarija Pisk Vesna VršičNevija Benčina Smotlak

UČNI KOMPLET za matematiko v 5. razredu osnovne šole

ISB

N 9

78-9

61-0

2-0

327-

8

Delovni zvezek Učbenik

SVET

MAT

EMAT

IČNI

H ČU

DES

5 de

lovn

i zve

zek

za m

atem

atiko

v 5

. raz

redu

osn

ovne

šol

e 1.

del

Page 2: SMC 5-DZ

5

Delovni zvezekza matematiko v 5. razredu osnovne šole 1. del

SVET MATEMATIČNIH ČUDES 5

Mara CotičDarjo FeldaBruna BremecDanila GrželjMarija Pisk Vesna VršičNevija Benčina Smotlak

Page 3: SMC 5-DZ

Delovni zvezek so napisali dr. Mara Cotič, dr. Darjo Felda, Marija Pisk, prof., Bruna Bremec, Nevija Benčina Smotlak, Danila Grželj, prof., Vesna Vršič, prof.

SVET MATEMATIČNIH ČUDES 5Delovni zvezek, 1. del Delovni zvezek sta ilustrirala Uroš Hrovat in Edo Podreka (str. 56)Fotografija na naslovnici ©Peter Zijlstra, Valentina_G | Shutterstock.comFotografije so prispevali Bedenk & Co, D. n. o., ©Michael Wiggenhauser, Maksym Deliyergiyev, Makarova Viktoria, LeonP, Mogens Trolle, IrinaK, Goncharuk, altanaka, Pablo H Caridad, Leroy Harvey, John Wollwerth, Debby Wong, Tish1, WilleeCole, Seregam, Antonio S, Amott, ppart, Poznyakov, serrnovik, Sony Ho, trainman32, Shaun Jeffers | Shutterstock.com in arhiv DZS d. d.

Rokopis so strokovno pregledali dr. Zlatan Magajna, dr. Tatjana Hodnik Čadež in Sonja Kosič, prof.Rokopis je jezikovno pregledala Maja Kraigher, prof.

Uredila Soraya Sternad Notranjost oblikovala Ksenija Konvalinka Idejna in oblikovna zasnova naslovnice Mojca Bizjak in Roman RažmanGlavni urednik Vasja KožuhIzvršna direktorica Divizije založništev Ada de Costa Petan

© DZS, založništvo in trgovina d. d, 2013Vse pravice pridržane.Brez pisnega dovoljenja Založbe je prepovedano reproduciranje, distribuiranje, dajanje v najem, javna priobčitev, dajanje na voljo javnosti (internet), predelava ali vsaka druga uporaba tega avtorskega dela ali njegovih delov v kakršnem koli obsegu ali postopku, vključno s fotokopiranjem, tiskanjem ali shranitvijo v elektronski obliki. Odstranitev tega podatka je kazniva.

CIP – Kataložni zapis o publikaciji

Narodna in univerzitetna knjižnica, Ljubljana 51(075.2)(076.1)     SVET matematičnih čudes 5. Delovni zvezek za matematiko v 5. razredu osnovne šole / Mara Cotič ... [et al.] ; [ilustrirala Uroš Hrovat, Edo Podreka ; fotografije Bedenk & Co ... et al.]. - 2. izd., 1. natis. - Ljubljana : DZS, 2013 - - Svet matematičnih čudes 5. Delovni zvezek. Rešitve nalog ISBN 978-961-02-0327-8 1. Cotič, Mara 266578432

preprosto navodilo

zahtevna naloga

zelo zahtevna naloga

učna enotaučna tema

Page 4: SMC 5-DZ

VSEBINA

OBDELAVA PODATKOVPrikazi. . . . . . . . . . . . . . . . . . . . . . . 6

ARITMETIKA Števila do 10 000 . . . . . . . . . . . . . . . 8Števila do 10 000 . . . . . . . . . . . . . 10Pisno seštevanje in odštevanje . . . . . . 12Pisno seštevanje in odštevanje . . . . . . 14Pisno seštevanje in odštevanje . . . . . . 16Števila do sto tisoč. . . . . . . . . . . . . . 18Števila do sto tisoč. . . . . . . . . . . . . . 20Števila do milijona. . . . . . . . . . . . . . 22Števila do milijona . . . . . . . . . . . . . 24Števila do milijona. . . . . . . . . . . . . . 26Števila do milijona. . . . . . . . . . . . . . 28Števila do milijona. . . . . . . . . . . . . . 30Pisno seštevanje . . . . . . . . . . . . . . . 32Pisno odštevanje . . . . . . . . . . . . . . . 34Matematični problemi . . . . . . . . . . . 36Matematični problemi . . . . . . . . . . . 38Matematični problemi . . . . . . . . . . . 40

GEOMETRIJAGeometrijska telesa in liki . . . . . . . . . 42Daljica . . . . . . . . . . . . . . . . . . . . . 44Daljica, poltrak, premica . . . . . . . . . 46Daljica, poltrak, premica . . . . . . . . . 48Koti . . . . . . . . . . . . . . . . . . . . . . . 50

ARITMETIKAEnačbe . . . . . . . . . . . . . . . . . . . . . 52

LOGIKA IN JEZIKKombinatorika . . . . . . . . . . . . . . . . 54Prikazi. . . . . . . . . . . . . . . . . . . . . . 56Prikazi. . . . . . . . . . . . . . . . . . . . . . 58

ARITMETIKASeštevanje in odštevanje količin . . . . . 59Seštevanje in odštevanje količin . . . . . 60

GEOMETRIJA Z MERJENJEMDolžina daljice . . . . . . . . . . . . . . . . 62Dolžina daljice . . . . . . . . . . . . . . . . 64

GEOMETRIJAPravokotnik. . . . . . . . . . . . . . . . . . . 65Pravokotnik. . . . . . . . . . . . . . . . . . . 66Pravokotnik. . . . . . . . . . . . . . . . . . . 68Kvadrat . . . . . . . . . . . . . . . . . . . . . 69Kvadrat . . . . . . . . . . . . . . . . . . . . . 70

MERJENJEMerjenje mase . . . . . . . . . . . . . . . . 72Merjenje mase . . . . . . . . . . . . . . . . 74Merjenje mase . . . . . . . . . . . . . . . . 76Merjenje mase . . . . . . . . . . . . . . . . 78

ARITMETIKAMnoženje . . . . . . . . . . . . . . . . . . . 80Množenje . . . . . . . . . . . . . . . . . . . 82Množenje . . . . . . . . . . . . . . . . . . . 84Množenje . . . . . . . . . . . . . . . . . . . 86Matematični problemi . . . . . . . . . . . 87Matematični problemi . . . . . . . . . . . 88Matematični problemi . . . . . . . . . . . 90Matematični problemi . . . . . . . . . . . 92Številski izrazi . . . . . . . . . . . . . . . . . 94

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5

X

+?

:

+ xX ::

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6

1. Učenci petih razredov so se pri naravoslovju učili o planetih. Vsak učenec je moral poiskati podatke o enem planetu. Iz preglednice je razvidno, koliko se jih je odločilo za posamezni planet.

V tretji stolpec preglednice zapiši ustrezno število.

Oblikuj prikaz z vrsticami.

Merkur

Venera

Zemlja

Mars

Jupiter

Saturn

Uran

Neptun

Koliko učencev je iskalo podatke o planetih?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Za kateri planet se je odločilo največ otrok? Koliko?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Za kateri planet se je odločilo najmanj otrok? Koliko?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Planet Beleženje ŠteviloMERKUR ¦¦ VENERA ¦¦¦¦ ¦¦¦ ZEMLJA ¦¦¦ MARS ¦¦¦¦ ¦¦¦¦

JUPITER ¦¦¦¦ ¦¦¦¦ ¦¦¦ SATURN ¦¦¦¦ ¦¦¦¦ ¦ URAN ¦

NEPTUN ¦¦

Legenda:

= 1 otrok

PRIKAZIOBDELAVA PODATKOV

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2. S prikazov s stolpci je razvidna letna količina padavin v milimetrih po mesecih v Portorožu in na Kredarici.

S sošolcem si oglejta prikaza in odgovorita na vprašanja.

Kje pade letno več padavin: v Portorožu ali na Kredarici?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

V katerem mesecu pade največ padavin v Portorožu in v katerem na Kredarici?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

V katerem mesecu pade najmanj padavin v Portorožu in v katerem na Kredarici?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

V katerih mesecih pade na Kredarici več kot 200 mm padavin?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

V katerih mesecih pade v Portorožu več kot 100 mm padavin?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

V katerih mesecih pade na Kredarici med 100 in 150 mm padavin?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Portoro` – Beli Kri`(92 m nadmorske vi{ine)

0 0

50 50

J JF FM MA AM MJ JJ JA AS SO ON ND D

100 100

150 150

200 200

250 250

Kredarica(2514 m nadmorske vi{ine)

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1. Prikaži števila na pozicijskem računalu.

3725 4008 240 6023 27

2. Števila, izražena z desetiškimi enotami, zapiši s številkami.

4 T 2 S 5 D 3 E = ___________________________________________________________ 3 T 2 E = ___________________________________________________________________________________________ 9 T 4 S 5 E = _____________________________________________________________________________________________

7 T 5 D 4 E = _______________________________________________________________________________________ 9 T 9 D 9 E = ___________________________________________________________ 4 D = _______________________________________________________________________________________________________________________________________________

1 D 8 E = ______________________________________________________________________________________________________________________ 8 T 3 S = ___________________________________________________________________________________________________ 6 T 9 S 8 D 3 E = _____________________________________________________________

3. Zapiši števila z desetiškimi enotami.

3456 = _______________________________________________________________________________________________________________________________________________________________________________________________________________ 1004 = ________________________________________________________________________________________________________________________________________________________________________________________________________________________

319 = ________________________________________________________________________________________________________________________________________________________________________________________________________________________ 22 = _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

9801 = _______________________________________________________________________________________________________________________________________________________________________________________________________________ 659 = _________________________________________________________________________________________________________________________________________________________________________________________________________________________________

39 = _________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 8100 = ________________________________________________________________________________________________________________________________________________________________________________________________________________________

6093 = _______________________________________________________________________________________________________________________________________________________________________________________________________________ 9876 = ________________________________________________________________________________________________________________________________________________________________________________________________________________________

4. Uredi števila po velikosti, tako daa) začneš z najmanjšim: 3217, 1000, 5410, 732, 99, 10, 1005, 913, 4510, 10 000

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

b) začneš z največjim: 978, 1205, 16, 3341, 44, 440, 2105, 1987, 8110, 61

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

T S D E T S D E T S D E T S D E T S D E

ŠTEVILA DO 10 000ARITMETIKA

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5. Ugotovi pravilo, po katerem je tvorjeno zaporedje, in zaporedje dopolni.

a) 370, 390, 410, ____________________, ___________________, ____________________, ___________________, ____________________, ___________________, ___________________

b) 950, ___________________, 850, 800, __________________, ____________________, __________________, ___________________, ___________________, ___________________

c) 33, _____________________, 233, 333, _________________________, ______________________, 633, ______________________, ______________________, ______________________

č) 10 000, _____________________, 8000, ______________________, ______________________, 5000, ______________________, ______________________, ______________________

d) 2500, 3000, _________________, 4000, __________________, __________________, __________________, __________________, __________________, __________________

e) 6570, 6670, 6770, _________________, __________________, __________________, __________________, __________________, __________________, __________________

f) 2975, 2980, 2985, _________________, __________________, __________________, __________________, __________________, __________________, __________________

g) __________________, __________________, __________________, 6185, 6285, _________________, 6485, __________________, __________________, __________________

6. Izpolni preglednice.

7. Zapiši števila, ki so med 3996 in 4003.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8. Zapiši števila, ki so med 9989 in 10 000.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

100

251

1220

45

7395

2001

–1 +1

85

290

3460

1120

8899

23

–10 +10

500

800

4900

2910

3450

275

–100 +100

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1. Obkroži števila, ki so večja od 1000 in manjša od 4250.

2. Vstavi ustrezen znak (<, >, =).

a) 680 6800 7385 7385  4000 400

3720 2730 1002 2001 10 000 1000

5462 4625 7218 7281  245 245

380 3800 6102 6102  979 3016

b) 4 T 5 D 2 T 8 E 6 T 7 E 6 T 7 E 6 T 8 D 3 E 6 T 8 D 3 E

6 S 7 E 3 T 10 S 1 T 4 S 8 D 3 E 7 D 2 E

5 D 8 E 3 S 7 E 9 T 9 S 9 D 8 E 4 D 8 E 5 S 2 E

3. Obkroži števila, ki niso večja od 5735.

4. Iz števk 7, 3, 8 in 5 sestavi največje in najmanjše štirimestno število. Pri vsakem številu uporabi vse naštete števke.

__________________________________________________________________________________________________________________________________

__________________________________________________________________________________________________________________________________

5. Koliko različnih štirimestnih števil lahko sestaviš iz števk 4, 8, 2 in 1? Zapiši jih. Pri vsakem številu uporabi vse naštete števke.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

100 2270

32805372

6390 4254250 1005 999

50 76904120

10 0004752 6790875

5635 5735

9758

20053759

ŠTEVILA DO 10 000ARITMETIKA

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6. Planinske koče so na različnih nadmorskih višinah. V prazno preglednico vpiši navedene planinske koče po nadmorskih višinah. Začni s kočo, ki je najniže.

7. Katero od spodnjih števil je najbližje številu 4700? Obkroži ga.

a) 3058 b) 5038 c) 5308 č) 8053

8. Ugotovi, ali je izjava pravilna ali ne. Ob pravilni izjavi napiši DA, ob napačni pa NE.

a) 4371 je predhodnik števila 4370. ______________________

b) Število 1000 je za dve manjše od števila 1002. ______________________

c) Število 9000 je za 1000 manjše od števila 8000. ______________________

č) Število 2380 je naslednik števila 2379. ______________________

Ime koče Nadmorska višinaStjenkova koča na Trstelju 610 mTumova koča na Slavniku 1018 mDom Petra Skalarja na Kaninu 2260 mTičarjev dom na Vršiču 1620 mKoča pri Savici 653 mPrešernova koča na Stolu 2174 mKoča na Kriški gori 1471 mKamniška koča na Kamniškem sedlu 1864 m

Ime koče Nadmorska višina

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4 2 0 3 + 1 7 6

2 7 4 5 + 2 7 8

3 8 8 2 + 1 1 8

4 3 5 6 + 2 6 5 7

8 2 3 + 1 9 4 6 + 6 6 + 5 0 3 2

2 3 + 3 4 9 9 + 7 4 6 + 2 9 0 8 + 5 3 7

3 8 + 1 3 1

3 2 7 + 2 5 8

1 0 4 3 + 2 0 0 0 + 3 2 2

6 5 5 + 2 1 3

6 7 0 + 1 2 8 3

2 4 6 7 + 1 0 1 1 + 4 2 1 0

3 4 0 1 + 7 7 + 1 6 8 9 + 1 6 5

6 7 2 + 1 3 1 5

7 6 0 2 + 1 8 4

1. Seštej.

2. Števili oz. števila iz posamezne vrstice prepiši v stolpec in ju oz. jih seštej.

752, 31153667, 25986325, 1791034, 38, 2371246, 7037523, 254008, 155986, 16372308, 19829, 2786, 3023, 78

PISNO SEŠTEVANJE IN ODŠTEVANJEARITMETIKA

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3. Odštej.

4. Števili iz posamezne vrstice prepiši v stolpec in izračunaj njuno razliko.

375, 345266, 17379835, 19883005, 2344203, 10210 000, 7855648, 776271, 992348,13483492, 238

3 8 – 2 5

2 5 7 – 4 2

8 7 5 3 – 1 4 0

2 6 0 8 – 1 2 0 5

7 6 0 2 – 1 8 4

2 8 5 – 4 6

8 2 5 – 1 7 2

3 6 2 8 – 1 7 1 3

2 5 0 6 – 1 8 5 5

6 2 5 1 – 1 8 7 5

9 0 0 0 – 2 9

5 6 7 3 – 1 7 2 8

4 0 0 6 – 2 8 4

3 2 1 7 – 9 9

9 8 7 5 – 8 8 8 8

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1. Izpolni preglednico.

2. Izpolni preglednico.

+ 345 76 1379 134 479 1712 2488

– 28 134 299 475 176 74 3483

1 3 4 + 3 4 5 4 7 9

4 7 5 – 2 9 9 1 7 6

PISNO SEŠTEVANJE IN ODŠTEVANJEARITMETIKA

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3. Izpolni preglednico.

4. Vsoto števil 3725 in 1877 zmanjšaj za 785.

5. Izračunaj vsoto števil 5475, 382 in 1769.

6. Izračunaj razliko števil 8472 in 988.

7. Razliki števil 6307 in 789 prištej 2885.

8. Vsoto števil 243, 98 in 8743 zmanjšaj za razliko števil 9345 in 7049.

a 655 1730 5574 b 231 21 1738 4562 a + b 9645 a – b 4000 175

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1. Vrh Everesta, najvišje gore na svetu, je na nadmorski višini 8848 m. Vrh Triglava, ki je najvišja gora v Sloveniji, je na nadmorski višini 2864 m. Za koliko je Everest višji od Triglava?

O: _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

2. Srečko Kosovel se je rodil leta 1904 in umrl leta 1926. Koliko let je živel?

O: _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

3. Popoln Sončev mrk je bil iz Slovenije viden leta 1999. Takrat so napovedali, da bo naslednji popoln Sončev mrk iz Slovenije viden čez 82 let. Katerega leta bo to?

O: _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

4. Petrov oče je bil junija na službenem potovanju v Moskvi, julija pa v Pekingu. Med Ljubljano in Moskvo je 1179 km, med Ljubljano in Pekingom pa 8350 km.

Koliko kilometrov je preletel na obeh potovanjih skupaj v obe smeri?Koliko kilometrov več je preletel, ko je šel v Peking in nazaj?

O: _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

5. V mestni knjižnici so si obiskovalci prvi teden izposodili 1758 knjig, drugi teden 89 knjig manj kot prvi teden, tretji teden 467 knjig več kot drugi teden.

Dopolni:

Drugi teden so si izposodili ______________________ knjig.

Tretji teden so si izposodili ______________________ knjig.

Prvi in tretji teden so si izposodili skupaj ______________________ knjig.

V vseh treh tednih so si izposodili skupaj ______________________ knjig.

PISNO SEŠTEVANJE IN ODŠTEVANJEARITMETIKA

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Vrh Nadmorska višinaKrn 2244 mVremščica 1026 mŠkrlatica 2740 mMangart 2679 mSnežnik 1796 mGolica 1835 mRaduha 2109 mBogatin 1977 m

6. V sadovnjaku so nabrali 4182 kg jabolk in 1185 kg hrušk. Sliv so nabrali 379 kg manj kot hrušk. Koliko kg jabolk, hrušk in sliv skupaj so nabrali v sadovnjaku?

O: _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7. Ninin oče je izkušen planinec. Nina je iz njegove planinske izkaznice izpisala osem vrhov, ki jih je oče nazadnje obiskal.

Izmed navedenih vrhov je najvišji _____________________________________________________ , najnižji pa _________________________________________________________

Kolikšna je razlika nadmorskih višin Mangarta in Snežnika? Koliko metrov nadmorske višine je premagal Ninin oče, ko se je na Krn povzpel s 590 m visokega Vrsna?

O: ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8. Slovenija ima 235 km kopenske meje z Italijo, 324 km meje z Avstrijo, 102 km meje z Madžarsko in 546 km meje s Hrvaško. Koliko kilometrov kopenske meje ima Slovenija z vsemi sosednjimi državami skupaj?

O: ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Page 19: SMC 5-DZ

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ŠTEVILA DO STO TISOČARITMETIKA

1. Števila, prikazana na pozicijskih računalih, zapiši s številkami in z besedami.

2. Števila ponazori na pozicijskem računalu.

376 24 005 9078 65 267 386

3. Zapiši s številkami.

7 Dt 6 T 2 D 3 E = _________________________________________________________________________________________________

4 T 7 S 2 E = ____________________________________________________________________________________________________________5 Dt 3 S = ___________________________________________________________________________________________________________________9 Dt 4 E = ___________________________________________________________________________________________________________________

4. Zapiši z desetiškimi enotami.

235 = _________________________________________________________ 707 = _________________________________________________________ 60 245 = __________________________________________________ 15 720 = __________________________________________________40 001 = __________________________________________________ 81 327 = __________________________________________________ 23 768 = __________________________________________________ 30 109 = ___________________________________________________

TDt S D E

TDt S D E

TDt S D E

TDt S D E

TDt S D E

TDt S D E TDt S D E TDt S D E TDt S D E TDt S D E

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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5. Števila iz 4. naloge uredi od najmanjšega do največjega.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

6. Zapiši vsa števila, ki bi jih lahko zapisal namesto a.

425 < a < 433 _________________________________________________________________________________________________

2453 < a < 2453 _________________________________________________________________________________________________

32 498 < a < 32 501 _________________________________________________________________________________________________

56 999 < a < 57 002 _________________________________________________________________________________________________

7. Štej:po 1 naprej od 3278,po 20 naprej od 24 269,po 100 naprej od 9999,po 1000 naprej od 6798,po 2 nazaj od 45 832,po 10 nazaj od 87 250,po 300 nazaj od 100 000.

8. Dopolni tabele.

Predhodnik ŠTEVILO Naslednik100

734572 999

35 789

– 10 ŠTEVILO + 10100

21 38284 395

7003

– 100 ŠTEVILO + 100100

34 2407865

95 003

– 1000 ŠTEVILO + 10005000

63 20074 415

97 453

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ŠTEVILA DO STO TISOČARITMETIKA

1. Nadaljuj zaporedja.

a) 5500, 5700, 5900, ______________, ______________, ______________, ______________, ______________, ______________.

b) 93 735, 93 725, 93 715, ______________, ______________, ______________, ______________, ______________, ______________.

c) 4500, ______________, 4700, 4800, ______________, ______________, ______________, ______________.

č) _____________, ______________, ______________, 3603, 3583, 3563, ______________, ______________, ______________.

2. Obkroži števila, ki so večja od 65 467.

10 000 65 399 42 008 10 000 33 999

3425 1879 66 306 187

100 000 73 482 65 467 700

3. Vstavi ustrezen znak <, >, =.

6000 ______________ 4897 3452 ______________ 4235

23 456 ______________ 23 654 93 401 ______________ 94 301

3 Dt 4 T 7 E ______________ 9 T 4 S 8 D 3 E ______________ 7 Dt 2 E

3 S 8 E ______________ 3 S 8 D 7 T ______________ 9 S 9 D 9 E

8 Dt 2 D ______________ 9 S 1 E 4 Dt ______________ 7 S 8 D 9 E

5 T 7 E ______________ 9 Dt 8 E 1 T ______________ 9 S 3 E

4. Obkroži število, ki se po velikosti najmanj razlikuje od števila 43 000.

45 300 33 000 45 009 52 900 53 000

5. Katero število po tvojem mnenju ne sodi med zapisana?

a) 17 296 67 129 71 692 26 279 96 217

Utemelji svoj odgovor. ____________________________________________________________________________________________________________________________________________________

b) 21 347 24 156 89 231 7426 12 003 25 682

Utemelji svoj odgovor. ____________________________________________________________________________________________________________________________________________________

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6. Izmisli si tri petmestna števila. Števila zapiši s številko in z besedo.

____________________________________________________________________________________________________________________________________________________

____________________________________________________________________________________________________________________________________________________

____________________________________________________________________________________________________________________________________________________

7. Rok je s spletne strani Statističnega urada Republike Slovenije prepisal podatke o številu prebivalcev nekaterih naselij.

Celje Jesenice Koper Kranj Ptuj Velenje

37 584 13 352 24 979 37 129 18 127 25 378

a) Uredi naselja po velikosti glede na število prebivalcev, začni z naseljem z največ prebivalci.

_____________________________________________________________________________________________________________________________________________________________________________________________________________

b) Zapiši naselja, katerih število prebivalcev je zapisano z manj kot 5 različnimi števkami.

_____________________________________________________________________________________________________________________________________________________________________________________________________________

8. Maja je zapisala petmestni števili, ki imata število desetic enako številu enic. Zapiši še tri taka petmestna števila.

47 677 10 522 ________________ ______________ ______________ ______________ ______________ ______________________________ __________

9. Zapiši štirimestno število, za katerega velja:

na mestu stotic je števka 2,

število tisočic je enako številu desetic in je dvakrat tolikšno kot število stotic,

število enic je za ena večje od števila desetic.

_____________________________________________________________________________________________________________________________________________________________________________________________________________

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1. Nadaljuj zaporedja.

a) 10 000, 30 000, 50 000, ___________________________________________________________________________________________________________________________________

b) 90 000, 80 000, 70 000, ___________________________________________________________________________________________________________________________________

c) 100 000, 80 000, 60 000, ________________________________________________________________________________________________________________________________

2. Števila zapiši z besedami.

60 000 _____________________________________________________________________________________

50 000 _____________________________________________________________________________________

90 000 _____________________________________________________________________________________

3. Pod vsakim zapisom zapiši ustrezno število s številko, nato pa števila uredi po velikosti od največjega do najmanjšega.

dvajset tisoč, štirideset tisoč, sedemdeset tisoč, osemdeset tisoč, sto tisoč, trideset tisoč

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

4. Prikaži števila na pozicijskem računalu.

34 200 40 021 13 850 14 628

TDt S D E TDt S D E TDt S D E TDt S D E

ŠTEVILA DO MILIJONAARITMETIKA

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5. Zapiši števila z desetiškimi enotami.

90 340 = ________________________________________________________________________ 80 238 = ___________________________________________________________________________

21 876 = ________________________________________________________________________ 70 402 = ___________________________________________________________________________

6. Pobarvaj tisto polovico vsakega kroga, v kateri je večje število.

7. Vstavi ustrezen znak (<, >, =).

34 789 43 789 10 000 100 000 67 008 6708 23 189 22 891

50 456 50 456 70 080 70 800  4578 875 95 346 95 346

8. Zapiši števila s številkami.

štiristo triinpetdeset tisoč dvesto sedemdeset _____________________________________________________

osemsto triinpetdeset tisoč oseminštirideset _____________________________________________________

sto osemintrideset tisoč ena _____________________________________________________

štiristo tisoč tristo petinosemdeset _____________________________________________________

šeststo dvainpetdeset tisoč sedemsto petinštirideset _____________________________________________________

dvesto tri tisoč osem _____________________________________________________

9. Preberi števila.

374 500 520 408 700 459 988 573 34 089 800 002 178 565

Prva tri števila zapiši z besedami.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

2003

3002

12 119

21 119

605 100

650 001

1 000 000

100 000

564 012

465 102

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1. Nadaljuj zaporedja.

a) 5310, 5320, 5330, ____________________________, _____________________________, ____________________________, ____________________________

b) 10 390, 10 490, 10 590, ___________________________, ____________________________, ____________________________, _____________________________

c) 240 000, 230 000, 220 000, ___________________________, ____________________________, _____________________________, ______________________________

2. Ugotovi pravilo, po katerem je tvorjeno zaporedje, in zaporedje dopolni.

a) ____________________________, _____________________________, 23 102, 23 103, 23 104, ___________________________, _____________________________

b) ___________________________, ____________________________, 50 020, 50 030, 50 040, ___________________________, _____________________________

c) ____________________________, _____________________________, 62 160, 62 260, 62 360, ____________________________, ___________________________

3. Ali bo v dvoranah dovolj sedežev za vse gledalce?

4. Zapiši s številkami.

4 Dt 2 T 5 S 2 D 3 E = _____________________________________________ 8 St 5 S 3 D 2 E = _______________________________________________

7 St 2 D = _______________________________________________________________________ 8 Dt 4 D 3 E = ________________________________________________________

3 St 2 Dt 7 T = _______________________________________________________________ 5 St 5 E = ________________________________________________________________

6 St 5 Dt 3 T 2 D = _____________________________________________________ 1 M = _________________________________________________________________________

4 Dt 8 T 2 S = ______________________________________________________________ 4 T 5 D = _________________________________________________________________

DVORANA Število Število DA NE sedežev gledalcev Rdeča 3880 3808 Modra 4990 499 Zelena 5050 5505 Siva 2202 2302 Rumena 1900 11 900 Bela 3000 3000

ŠTEVILA DO MILIJONAARITMETIKA

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5. Soda števila prepiši v levi stolpec, liha pa v desnega.375 532, 88 657, 200 001, 465 218, 462 899, 365 000, 777 334, 8356, 63 003, 8427

Še ti zapiši tri soda in tri liha števila.

Soda števila: _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Liha števila: ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

6. Vstavi ustrezen znak (<, >, =).

345 543 543 345 63 522 200 000 325 817 74 251

275 800 27 580 10 000 100 000 82 536 632 258

108 520 108 520 697 351 69 753 71 130 253 110

230 005 500 032 987 932 987 932 10 591 100 591

7. Uredi števila po velikosti.a) Začni z najmanjšim. 346 783, 387 643, 38 764, 34 067, 700 234, 100 278, 834 579, 3478

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

b) Začni z največjim. 98 564, 465 678, 34 987, 5678, 230 016, 976 123, 23 016, 98 056

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8. Štej od 347 296 do 347 302 in zapiši ta števila.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

9. Štej od 900 003 nazaj do 899 997 in zapiši ta števila.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Soda števila Liha števila

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1. Izpolni preglednico.

2. Štej po deset od 627 485 do 627 545 in zapiši števila.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

3. Štej po sto od 735 582 do 736 182 in zapiši števila.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

4. Štej po tisoč od 726 882 do 732 882 in zapiši števila.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

5. Izpolni preglednice.

a) c)

b)

a a – 1000 a – 100 a – 10 a – 1 1278 3525 9010 60 815 120 380 5719 4000

100 000

563 258

236 730

452 356

739 671

200 001

–1 +1

125

4590

456 460

110 120

839 999

510 120

–100 +100

1000

231 000

872 345

349 671

100 450

275 785

–1000 +1000

ŠTEVILA DO MILIJONAARITMETIKA

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6. Zapiši števila, ki so med 234 567 in 234 573.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7. Zapiši števila, ki so med 499 996 in 500 002.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8. Obkroži števila, ki so manjša od 674 370.

9. V preglednici je za nekatera leta zapisano število otrok in mladine, ki so obiskali muzeje po Sloveniji.

Največ mladih je muzeje po Sloveniji obiskalo leta _____________________________. Bilo jih je ___________________________________________.

Najmanj ljudi je muzeje po Sloveniji obiskalo leta ______________________________. Bilo jih je ________________________________________.

Leta 2006 je muzeje po Sloveniji obiskalo _____________________________________ ljudi.

Navedena števila uredi po velikosti od največjega do najmanjšega.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Še ti sestavi vprašanje in nanj odgovori.

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

498 003 674 480100 567 67 437

87 234 345 129 888 888 1 000 000 674 370

876 540987 569

10 000

Leto Število obiskovalcev 2004 710 222 2006 642 840 2007 697 533 2008 618 846 2009 530 634 2010 537 334 2011 631 940