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Skrivnosti Å¡tevil in oblik 7

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RE©ITVE<br />

R<br />

8. To sta ulomka 15<br />

7 <strong>in</strong> 15<br />

8 .<br />

2 3 5 5<br />

9. To so ulomki: , , , ,<br />

3<br />

4<br />

7<br />

8<br />

7<br />

9<br />

15 29 17 33 43<br />

10. a) 2 < < 3, 3 < < 4, 4 < < 5, 3 < < 4, 7 < < 8<br />

7<br />

8 4 10<br />

6<br />

27 12 21 19 30<br />

b) 3 < < 4, 2 < < 3, 3 < < 4, 6 < < 7, 7 < < 8<br />

8 5<br />

6 3<br />

4<br />

8 11 14 11 14 11 7 22<br />

11. a) < 2 < , < 4 < <strong>in</strong> < 5 < , < 3 < 5 5 4 2 4 2 3 7<br />

15 23 7 26 19 31<br />

b) < 2 < , < 4 < , < 5 < 8 8 2 6 4 6<br />

12. a) Med 2<br />

7 <strong>in</strong> 2<br />

21 leæijo πtevila 4, 5, 6, 7, 8, 9 <strong>in</strong> 10.<br />

9 16<br />

Med 4 <strong>in</strong> 3 leæijo πtevila 3, 4 <strong>in</strong> 5.<br />

12 22<br />

Med 8 <strong>in</strong> 3 leæijo πtevila 2, 3, 4, 5, 6 <strong>in</strong> 7.<br />

NajveË πtevil leæi med ulomkoma 2<br />

7 <strong>in</strong> 2<br />

21 .<br />

13 27<br />

b) Med 4 <strong>in</strong> 4 leæijo πtevila 4, 5 <strong>in</strong> 6.<br />

15 37<br />

Med 4 <strong>in</strong> 6 leæijo πtevila 4, 5 <strong>in</strong> 6.<br />

Med 3<br />

20 <strong>in</strong> 5<br />

43 leæita πtevili 7 <strong>in</strong> 8.<br />

13 27 15 37<br />

NajveË πtevil je med ulomkoma 4 <strong>in</strong> 4 ter 4 <strong>in</strong> 6 .<br />

©PELA SE PREIZKUSI<br />

1.<br />

2.<br />

3.<br />

3 7 4 1 , , ,<br />

4 8 8 6<br />

Moæne so tudi druge reπitve. Pomembno je,da sta pobarvana<br />

1, 2 oziroma 5 delov.<br />

4. 45 m<strong>in</strong> (1 t) 480 kg (2 t)<br />

120 cm 2 (1 t) 75 m<strong>in</strong> (2 t)<br />

18 A (1 t) 27 dl (2 t)<br />

5. »etrti deËek dobi 20 A.<br />

6.<br />

3 17 17 8 35 35 42 42 2 1 < 1; > 1, = 1 ; > 1, = 5; > 1, = 5 = 5 ;<br />

5 9 9 9 7 7 8 8 8 4<br />

12 4 48 48 = 1; < 1; > 1, = 8; (vsaka primerjava 1 t)<br />

12 11 6 6<br />

7. 4 2 22<br />

5<br />

= 1 36 , 5 5 7<br />

= 7 33<br />

, 2 7 13<br />

= 13<br />

8.<br />

9.<br />

0 1 7 2 5 1<br />

2 12 3 6<br />

4 24<br />

= 5 35 8 ,<br />

9 54 8<br />

= , = 56 7 63<br />

72 5 29 87<br />

, (vsak po 1 t), 4 = = (2 t)<br />

6 6 18<br />

15 1<br />

= 28 2 80 2 ,<br />

45 3 42<br />

= , (vsak po 1 t), = (2 t)<br />

3 360 9<br />

10. a) 12<br />

5 < 15<br />

8 < 10<br />

7 b) 3<br />

2 < 4<br />

3 < 5<br />

4<br />

12 3<br />

11. Prehoditi mora πe 20 = 5 poti.<br />

1<br />

1 12<br />

RA»UNANJE Z ULOMKI<br />

3.1 SE©TEVANJE IN OD©TEVANJE<br />

ULOMKOV Z ENAKIMI IMENOVALCI<br />

1.<br />

4<br />

a) 1<br />

9<br />

6 10<br />

9<br />

1<br />

9<br />

9<br />

7 4 3<br />

- = 11 11 11<br />

2.<br />

1 2 3 2 4 6 1 15 7 8 4<br />

a) + = b) + = = c) - = =<br />

4 4 4 12 12 12 2 30 30 30 15<br />

3.<br />

3 1 8 2 9 3 40 4 2 1<br />

a) = b) = c) = Ë) = d) 3 = 3<br />

6 2 12 3 15 5 50 5 4 2<br />

2 8 1<br />

e) 2 = 3 f) 3 = 3<br />

2 16 2<br />

4 g) 7 7<br />

3 h) 4 4<br />

1 i) 5 2<br />

2 j) 7 3<br />

2 k) 7 5<br />

7 2<br />

4. a) 1 8 4 17 = b) 2 2 51 3<br />

= = c) = 113 Ë) = 2 =<br />

5 5 14 14 7 13<br />

24 24<br />

3 4 1 7 2 3<br />

d) 5 e) 3 = 3 f) 8 = 9 g) 4 Okrajπali smo: b, Ë, e.<br />

4 8 2 5 5 4<br />

J23<br />

17<br />

N<br />

20 1<br />

1<br />

5. 1 - K + = =<br />

60 60<br />

O<br />

Miha <strong>in</strong> Tadej sta pojedla<br />

60 3<br />

3 bonbonov.<br />

L P<br />

4 2<br />

2 4<br />

6. a) 3; 4; ; 2 b) 4 ; ; 2; 3<br />

5 3 7 6<br />

7.<br />

3 4 1 2 10<br />

1 + 2 + 1 + 5 = 9 = 11 Mama je kupila 11 kg zelenjave.<br />

5 5 5 5 5<br />

2 4 1 3 2 4 1 3<br />

8. , , 1 , 1 , 2, 2 , 2 , 3 , 3 , 4<br />

5 5 5 5 5 5 5 5<br />

1<br />

J<br />

1 2<br />

N J<br />

1 2 2<br />

N<br />

1<br />

9. o = 1 + 1 + + 1 + + =<br />

3<br />

K 3 3<br />

O K 3 3 3<br />

O 1 3<br />

o = 6 m; L P L<br />

P<br />

1 2 3 1 2 3 1<br />

10. 6 , 5 , 4 , 4, 3 , 2 , 1 , 1, 4 4 4 4 4 4 4<br />

2 3<br />

+ 2 + 2 = 5 = 6;<br />

3 3<br />

3.2 SE©TEVANJE ULOMKOV Z RAZLI»NIMI<br />

IMENOVALCI<br />

1.<br />

3 1 22 7 59<br />

a) = b) = 115 c)<br />

6 2 15<br />

72<br />

7<br />

5 1<br />

d) 6 e) 16 = 16 24 20 4<br />

1 f) 56 10<br />

15 7 5 1<br />

7<br />

2. a) = 1 b) 2 = 2 c) 23<br />

8 8 20 4 40<br />

3.<br />

7 2 35 24 59<br />

+ = + =<br />

12 5 60 60 60<br />

4.<br />

11 8 55 32 27 9<br />

+ = + = 1 = 1<br />

12 15 60 60 60 20<br />

5.<br />

3<br />

a) m<br />

4<br />

6.<br />

1<br />

a) 3 3<br />

3<br />

b) 1 l 10<br />

b) 5 3<br />

1<br />

9<br />

c) 5 kg 20<br />

c) 17 5<br />

4<br />

11<br />

11<br />

7. a) 6 kg b) DA, ker je 20<br />

20 kg jagod preveË.<br />

37 3<br />

8. Porabila je 40 denarja; ostalo ji je 40 denarja.<br />

33<br />

9. a) 40<br />

7<br />

b) 40<br />

17 5<br />

Ë) 7 = 8<br />

12 12<br />

62<br />

g) 35 63<br />

11<br />

Ë) 81 12<br />

11<br />

Ë) t<br />

30<br />

Ë) 17 12<br />

5<br />

54 7 29<br />

10. 8 + = 9 K Tjaπi je prispela ob 9. uri <strong>in</strong> 29 m<strong>in</strong>ut;<br />

60 12 60<br />

7 ure = 35 m<strong>in</strong>ut, nato seπtejeπ skupaj ure <strong>in</strong> skupaj m<strong>in</strong>ute:<br />

12<br />

8 h 54 m<strong>in</strong> + 35 m<strong>in</strong> = 8 h 89 m<strong>in</strong> = 9 h 29 m<strong>in</strong><br />

7<br />

J<br />

7 5<br />

N<br />

11. 1234 + 1234 + 951 =<br />

8<br />

K 8 6<br />

L<br />

P<br />

O 1234 7 2186 17 7<br />

+ = 3421 ;<br />

8 24 12<br />

7<br />

Posestvo meri 3421 12 m<br />

2 .<br />

9<br />

J<br />

9 81<br />

N J<br />

9 81 81<br />

N<br />

12. 4 + 4 9 4 9 9 10<br />

K + + + + =<br />

10 100<br />

O K 10 100 100<br />

O<br />

L<br />

P L<br />

P<br />

9 71 52 213 13<br />

13<br />

= 4 + 14 + 24 = 42 = 44 ; Kamen pade 44<br />

10 100 100 100 100<br />

100 m.<br />

7

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