SMC 5-DZ

Page 1

ISBN 978-961-02-0327-8

Mara Cotič Darjo Felda Bruna Bremec Danila Grželj Marija Pisk Vesna Vršič Nevija Benčina Smotlak

Delovni zvezek

Učbenik

SVET MATEMATIČNIH ČUDES 5

UČNI KOMPLET za matematiko v 5. razredu osnovne šole

delovni zvezek za matematiko v 5. razredu osnovne šole 1. del

18,00 EUR

SVET MATEMATIČNIH ČUDES 5 Delovni zvezek

za matematiko v 5. razredu osnovne šole 1. del

5


Mara Cotič Darjo Felda Bruna Bremec Danila Grželj Marija Pisk Vesna Vršič Nevija Benčina Smotlak

SVET MATEMATIČNIH ČUDES 5 Delovni zvezek

za matematiko v 5. razredu osnovne šole 1. del

5


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 5 Delovni zvezek, 1. del Delovni zvezek sta ilustrirala Uroš Hrovat in Edo Podreka (str. 56) Fotografija na naslovnici ©Peter Zijlstra, Valentina_G | Shutterstock.com Fotografije 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 Ražman Glavni urednik Vasja Kožuh Izvršna direktorica Divizije založništev Ada de Costa Petan učna tema

učna enota

zelo zahtevna naloga

preprosto navodilo

zahtevna naloga

© DZS, založništvo in trgovina d. d, 2013 Vse 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


VSEBINA OBDELAVA PODATKOV Prikazi . . . . . . . . . . . . . . . . . . . . . . . 6 ARITMETIKA Števila do 10 000 . . . . . . . . . . . . . . . 8 Števila do 10 000 . . . . . . . . . . . . . . 10 Pisno seštevanje in odštevanje . . . . . . 12 Pisno seštevanje in odštevanje . . . . . . 14 Pisno seštevanje in odštevanje . . . . . . 16 Števila do sto tisoč . . . . . . . . . . . . . . 18 Števila do sto tisoč . . . . . . . . . . . . . . 20 Števila do milijona . . . . . . . . . . . . . . 22 Števila do milijona . . . . . . . . . . . . . . 24 Števila do milijona . . . . . . . . . . . . . . 26 Števila do milijona . . . . . . . . . . . . . . 28 Števila do milijona . . . . . . . . . . . . . . 30 Pisno seštevanje . . . . . . . . . . . . . . . . 32 Pisno odštevanje . . . . . . . . . . . . . . . 34 Matematični problemi . . . . . . . . . . . . 36 Matematični problemi . . . . . . . . . . . . 38 Matematični problemi . . . . . . . . . . . . 40 GEOMETRIJA Geometrijska telesa in liki . . . . . . . . . Daljica . . . . . . . . . . . . . . . . . . . . . . Daljica, poltrak, premica . . . . . . . . . . Daljica, poltrak, premica . . . . . . . . . . Koti . . . . . . . . . . . . . . . . . . . . . . . .

42 44 46 48 50

ARITMETIKA Enačbe . . . . . . . . . . . . . . . . . . . . . 52 LOGIKA IN JEZIK Kombinatorika . . . . . . . . . . . . . . . . . 54 Prikazi . . . . . . . . . . . . . . . . . . . . . . 56 Prikazi . . . . . . . . . . . . . . . . . . . . . . 58

ARITMETIKA Seštevanje in odštevanje količin . . . . . 59 Seštevanje in odštevanje količin . . . . . 60 GEOMETRIJA Z MERJENJEM Dolžina daljice . . . . . . . . . . . . . . . . 62 Dolžina daljice . . . . . . . . . . . . . . . . 64 GEOMETRIJA Pravokotnik . . . . . . . . . . . . . . . . . . . Pravokotnik . . . . . . . . . . . . . . . . . . . Pravokotnik . . . . . . . . . . . . . . . . . . . Kvadrat . . . . . . . . . . . . . . . . . . . . . Kvadrat . . . . . . . . . . . . . . . . . . . . .

65 66 68 69 70

MERJENJE Merjenje Merjenje Merjenje Merjenje

mase . . . . . . . . . . . . . . . . . mase . . . . . . . . . . . . . . . . . mase . . . . . . . . . . . . . . . . . mase . . . . . . . . . . . . . . . . .

72 74 76 78

ARITMETIKA Množenje . . . . . . . . . . . . . . . . . . . . Množenje . . . . . . . . . . . . . . . . . . . . Množenje . . . . . . . . . . . . . . . . . . . . Množenje . . . . . . . . . . . . . . . . . . . . Matematični problemi . . . . . . . . . . . . Matematični problemi . . . . . . . . . . . . Matematični problemi . . . . . . . . . . . . Matematični problemi . . . . . . . . . . . . Številski izrazi . . . . . . . . . . . . . . . . .

80 82 84 86 87 88 90 92 94



X – + x ? X : : :

+

5


OBDELAVA PODATKOV

1.

PRIKAZI

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. Planet

Beleženje Število

MERKUR

¦¦

VENERA

¦¦¦¦ ¦¦¦

ZEMLJA

¦¦¦

MARS

¦¦¦¦ ¦¦¦¦

JUPITER

¦¦¦¦ ¦¦¦¦ ¦¦¦

SATURN

¦¦¦¦ ¦¦¦¦ ¦

URAN

¦

NEPTUN

¦¦

Oblikuj prikaz z vrsticami. Merkur

Legenda: = 1 otrok

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? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

6


2.

S prikazov s stolpci je razvidna letna količina padavin v milimetrih po mesecih v Portorožu in na Kredarici. 250

250

200

200

150

150

100

100

50

50

0

J F M A M J

J A S O N D

0

J F M A M J

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

J A S O N D

Kredarica (2514 m nadmorske vi{ine)

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? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7


ARITMETIKA

1.

ŠTEVILA DO 10 000

Prikaži števila na pozicijskem računalu.

T

S

D E

T

3725

2.

7 T 5 D 4 E = 1 D 8 E =

T

4008

S

D E

T

240

S

D E

6023

T

S

D E

27

___________________________________________________________

_______________________________________________________________________________________

______________________________________________________________________________________________________________________

3 T  2 E =

___________________________________________________________________________________________

9 T 9 D 9 E = 8 T  3 S =

___________________________________________________________

___________________________________________________________________________________________________

9 T 4 S 5 E = 4 D =

___________________________________________________________

______________________________________________________________________________________________________________

6 T 9 S 8 D 3 E =

__________________________________

Zapiši števila z desetiškimi enotami. 3456 = 319 =

39 =

________________________________________________________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________________________________________________________

9801 =

________________________________________________________________________________________________________________________________________________________________________________________________________________

____________________________________________________________________________________________________________________________________________________________________________________________________________________________

6093 =

4.

D E

Števila, izražena z desetiškimi enotami, zapiši s številkami.

4 T 2 S 5 D 3 E =

3.

S

________________________________________________________________________________________________________________________________________________________________________________________________________________

1004 = 22 =

__________________________________________________________________________________________________________________________________________________________________________________________

___________________________________________________________________________________________________________________________________________________________________________________________________________

659 =

__________________________________________________________________________________________________________________________________________________________________________________________________

8100 =

__________________________________________________________________________________________________________________________________________________________________________________________

9876 =

__________________________________________________________________________________________________________________________________________________________________________________________

Uredi števila po velikosti, tako da a) 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

8

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


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,

__________________

_________________, __________________, __________________, __________________, __________________, __________________, __________________

f) 2975, 2980, 2985,

_________________, __________________, __________________, __________________, __________________, __________________, __________________

__________________, __________________, __________________,

6185, 6285, _________________, 6485, __________________, __________________,

__________________

Izpolni preglednice. –1

+1

–10

+10

100

85

251

290

1220

3460

45

–100

7395

2001

+100

500

800

1120

7.

4000, __________________, __________________, __________________, __________________, __________________,

e) 6570, 6670, 6770,

g)

6.

_________________,

4900

2910 8899

23

3450

275

Zapiši števila, ki so med 3996 in 4003. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

8.

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

9


ARITMETIKA

1.

ŠTEVILA DO 10 000

Obkroži števila, ki so večja od 1000 in manjša od 4250. 100 3280 6390

2.

7690

1005

425

999

Vstavi ustrezen znak (<, >, =). a)  680      6800

7385      7385   4000      400

3720      2730

1002      2001

5462      4625

7218      7281    245      245

380      3800

6102      6102    979      3016

6 S 7 E      3 T

5 D 8 E      3 S 7 E

6 T 7 E 10 S 9 T

10 000      1000

6 T 7 E

6 T 8 D 3 E

6 T 8 D 3 E

1 T

4 S 8 D 3 E

7 D 2 E

4 D 8 E

5 S 2 E

9 S 9 D 8 E

Obkroži števila, ki niso večja od 5735. 4752

875

5635

4.

4120

50

4250

b) 4 T 5 D      2 T 8 E

3.

2270

5372

6790

9758

10 000 5735

3759

2005

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. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

10


6.

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

Nadmorska višina

Stjenkova koča na Trstelju

610 m

Tumova koča na Slavniku

1018 m

Dom Petra Skalarja na Kaninu

2260 m

Tičarjev dom na Vršiču

1620 m 653 m

Koča pri Savici Prešernova koča na Stolu

2174 m

Koča na Kriški gori

1471 m

Kamniška koča na Kamniškem sedlu

1864 m

Ime koče

7.

Nadmorska višina

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.

______________________

11


ARITMETIKA

1.

PISNO SEŠTEVANJE IN ODŠTEVANJE

Seštej.

3 8 + 1 3 1

6 5 5 + 2 1 3

4 2 0 3 + 1 7 6

6 7 2 + 1 3 1 5

7 6 0 2 + 1 8 4

3 2 7 + 2 5 8

6 7 0 + 1 2 8 3

2 7 4 5 + 2 7 8

3 8 8 2 + 1 1 8

4 3 5 6 + 2 6 5 7

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

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

3 4 + + 1 6 + 1

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

+ 3 4 + 7 + 2 9 + 5

2.

Števili oz. števila iz posamezne vrstice prepiši v stolpec in ju oz. jih seštej. 752, 3115 3667, 2598 6325, 179 1034, 38, 237 1246, 703 7523, 25 4008, 1559 86, 1637 2308, 198 29, 2786, 3023, 78

12

0 1 7 7 8 9 6 5

2 3 9 9 4 6 0 8 3 7


3.

Odštej.

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

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

9 0 0 0 – 2 9

4. Števili iz posamezne vrstice prepiši v stolpec in izračunaj njuno razliko. 375, 34 5266, 1737 9835, 1988 3005, 234 4203, 102 10 000, 785 5648, 77 6271, 99 2348,1348 3492, 238

13


ARITMETIKA

1.

PISNO SEŠTEVANJE IN ODŠTEVANJE

Izpolni preglednico. +

345

76

1379

134

479 1712

2488

1 3 4 + 3 4 5 4 7 9

2.

Izpolni preglednico. –

28

134

475 3483

4 7 5 – 2 9 9 1 7 6

14

299 176 74


3.

Izpolni preglednico. a

655

b

231

1730

5574

21

1738

4562

a + b 9645

a – b

4000

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.

175

15


ARITMETIKA

1.

PISNO SEŠTEVANJE IN ODŠTEVANJE

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 Tretji teden so si izposodili

______________________

______________________

knjig.

knjig.

Prvi in tretji teden so si izposodili skupaj V vseh treh tednih so si izposodili skupaj

16

______________________ ______________________

knjig. knjig.


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. Vrh

Nadmorska višina

Krn 2244 m Vremščica 1026 m Škrlatica 2740 m Mangart 2679 m Snežnik 1796 m Golica 1835 m Raduha 2109 m Bogatin

1977 m

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:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

17


ARITMETIKA

1.

ŠTEVILA DO STO TISOČ

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

Dt T

S

D E ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Dt T

S

D E ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Dt T

S

D E ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Dt T

S

D E ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Dt T

2.

S

D E

Števila ponazori na pozicijskem računalu.

Dt T

S

D E

376

3.

S

D E

24 005

S

D E

9078

Dt T

S

D E

65 267

Dt 6 T 2 D 3 E = _________________________________________________________________________________________________ T 7 S 2 E = ____________________________________________________________________________________________________________ Dt 3 S = ___________________________________________________________________________________________________________________ Dt 4 E = ___________________________________________________________________________________________________________________

Zapiši z desetiškimi enotami. 235 = _________________________________________________________ 60 245 = __________________________________________________ 40 001 = __________________________________________________ 23 768 = __________________________________________________

18

Dt T

Zapiši s številkami. 7 4 5 9

4.

Dt T

707 = _________________________________________________________ 15 720 = __________________________________________________ 81 327 = __________________________________________________ 30 109 = ___________________________________________________

Dt T

S

D E

386


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.

8.

_________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________

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. Dopolni tabele. Predhodnik

ŠTEVILO

Naslednik

100 7345 72 999 35 789 – 10

ŠTEVILO

+ 10

100 21 382 84 395 7003 – 100

ŠTEVILO

+ 100

100 34 240 7865 95 003 – 1000

ŠTEVILO

+ 1000

5000 63 200 74 415 97 453

19


ARITMETIKA

1.

ŠTEVILA DO STO TISOČ

Nadaljuj zaporedja. a) 5500, 5700, 5900,

______________, ______________, ______________, ______________, ______________, ______________.

b) 93 735, 93 725, 93 715, c) 4500, č)

2.

______________,

4700, 4800,

_____________, ______________, ______________,

3603, 3583, 3563,

65 399 3425

1879

66 306

33 999

187

73 482

65 467

______________ 4897 3452 ______________ ______________ 23

23 456

3 Dt 4 T 7 E 3S8E

5T7E

654

______________

______________

8 Dt 2 D

______________

9 T

93 401

700

7T

9 S 1 E

4 Dt

9 Dt 8 E

1T

4235

______________

4S8D3E

3 S 8 D

______________

______________

______________

7 Dt 2 E

9S9D9E

______________

______________

94 301

7S8D9E

9S3E

Obkroži število, ki se po velikosti najmanj razlikuje od števila 43 000. 45 300

33 000

45 009

52 900

53 000

Katero število po tvojem mnenju ne sodi med zapisana? a) 17 296

67 129

Utemelji svoj odgovor. b) 21 347

71 692

26 279

96 217

____________________________________________________________________________________________________________________________________________________

24 156

Utemelji svoj odgovor.

20

10 000

Vstavi ustrezen znak <, >, =. 6000

5.

______________, ______________, ______________.

42 008

100 000

4.

______________, ______________, ______________, ______________.

Obkroži števila, ki so večja od 65 467. 10 000

3.

______________, ______________, ______________, ______________, ______________, ______________.

89 231

7426

12 003

25 682

____________________________________________________________________________________________________________________________________________________


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 37 584 13 352 24 979

Kranj 37 129

Ptuj 18 127

Velenje 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

9.

10 522

________________________________________________________________________________________________________________

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.

_____________________________________________________________________________________________________________________________________________________________________________________________________________

21


ARITMETIKA

1.

ŠTEVILA DO MILIJONA

Nadaljuj zaporedja. a) 10 000, 30 000, 50 000,

____________________________________________________________________________________________________________________________________

b) 90 000, 80 000, 70 000,

____________________________________________________________________________________________________________________________________

c) 100 000, 80 000, 60 000,

2.

3.

_________________________________________________________________________________________________________________________________

Števila zapiši z besedami. 60 000

_____________________________________________________________________________________

50 000

_____________________________________________________________________________________

90 000

_____________________________________________________________________________________

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.

Dt T

S

D E

Dt T

S

D E

Dt T

S

D E

Dt T

S

D E

34 200 40 021 13 850 14 628

22


5.

6.

7.

8.

9.

Zapiši števila z desetiškimi enotami. 90 340 =

________________________________________________________________________

80 238 =

___________________________________________________________________________

21 876 =

________________________________________________________________________

70 402 =

___________________________________________________________________________

Pobarvaj tisto polovico vsakega kroga, v kateri je večje število. 2003

12 119

605 100

1 000 000

564 012

3002

21 119

650 001

100 000

465 102

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

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

_____________________________________________________

Preberi števila. 374 500   520 408   700 459   988 573   34 089   800 002   178 565 Prva tri števila zapiši z besedami. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

23


ARITMETIKA

1.

ŠTEVILA DO MILIJONA

Nadaljuj zaporedja. a) 5310, 5320, 5330,

____________________________, _____________________________, ____________________________, ____________________________

b) 10 390, 10 490, 10 590,

___________________________, ____________________________, ____________________________, _____________________________

c) 240 000, 230 000, 220 000,

2.

3.

___________________________, ____________________________, _____________________________, ______________________________

Ugotovi pravilo, po katerem je tvorjeno zaporedje, in zaporedje dopolni. a)

____________________________, _____________________________,

b)

___________________________, ____________________________,

c)

____________________________, _____________________________,

23 102, 23 103, 23 104,

50 020, 50 030, 50 040,

___________________________, _____________________________

___________________________, _____________________________

62 160, 62 260, 62 360,

____________________________, ___________________________

Ali bo v dvoranah dovolj sedežev za vse gledalce? Število Število DVORANA DA NE sedežev gledalcev

4.

Rdeča

3880

3808

Modra

4990

499

Zelena

5050

5505

Siva

2202

2302

Rumena

1900

11 900

Bela

3000

3000

Zapiši s številkami. 4 Dt 2 T 5 S 2 D 3 E = 7 St 2 D =

_______________________________________________________________________

3 St 2 Dt 7 T =

_______________________________________________________________

6 St 5 Dt 3 T 2 D = 4 Dt 8 T 2 S =

24

_____________________________________________

_____________________________________________________

______________________________________________________________

8 St 5 S 3 D 2 E = 8 Dt 4 D 3 E = 5 St 5 E = 1 M =

_______________________________________________

________________________________________________________

________________________________________________________________

_________________________________________________________________________

4 T 5 D =

_________________________________________________________________


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

Soda števila

Liha števila

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

7.

108 520      108 520

697 351      69 753  71 130      253 110

230 005      500 032

987 932      987 932  10 591      100 591

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. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

25


ARITMETIKA

1.

ŠTEVILA DO MILIJONA

Izpolni preglednico.

a

a – 1000

a – 100

a – 10

a – 1

1278 3525 9010 60 815 120 380 5719 4000

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. –1 +1 c) –1000 a) 100 000

563 258

231 000

236 730

872 345

–100 +100 452 356 b) 739 671 125 200 001 4590

349 671

456 460 110 120 839 999 510 120

26

+1000

1000

100 450 275 785


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. 498 003 100 567 87 234

9.

674 480 67 437 345 129

10 000 876 540

888 888

987 569

1 000 000

674 370

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

Leto

Število obiskovalcev

2004

710 222

2006

642 840

2007

697 533

2008

618 846

2009

530 634

2010

537 334

2011

631 940

Največ mladih je muzeje po Sloveniji obiskalo leta Najmanj ljudi je muzeje po Sloveniji obiskalo leta Leta 2006 je muzeje po Sloveniji obiskalo

_____________________________.

______________________________.

_____________________________________

Bilo jih je Bilo jih je

___________________________________________. ________________________________________.

ljudi.

Navedena števila uredi po velikosti od največjega do najmanjšega. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Še ti sestavi vprašanje in nanj odgovori. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

27


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