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