Črnivčeve petdelne računice 1. del. Računica za osnovne šole. Zvezek 1. Oddelek A: Števila 1—20. Sestavil A. Črnivec. Sedma neizpremenjena izdaja. Odobril Prosvetni oddelek za Slovenijo z odlokom št. 9123 z dne 1. julija 1924. Dovolilo ministrstvo prosvete z odlokom O. N. br. 39.599 od 16. julija 1927. Cena vezani knjigi 7 Din. 1927. Državna zaloga šolskih knjig in učil v Ljubljani. K Sl/VIT. Šolske knjige, izdane v Drž. zalogi šolskih knjig in učil v Ljubljani, se ne smejo prodajati za višjo nego na čelni strani označeno ceno. Pridržujejo se vse pravice. Za Jugoslovansko tiskarno v Ljubljani: Karel Čeč. 3 Števila do pet. (Ponazorovanje, štetje, obrazci, številke.) 2 3 2 1 3 2 3 1 2 4 • « 1 :2 .:3 ::4 « 0 0 0 0 0 0 0 0 0 0 0 0 5 9 9 9 9 9 ••• (Prištevanje in dopolnjevanje.) • * 1 +1 = : i + • = 2 • • 1 + 2 = . 2+ • =3 •• 1 + • :,= 3 • • • • 9 9 4 + 1 = •1+4 = 3 + • = 4 4 + • = 5 1 + • = 4 ••• 1 + • = 5 9 9 9 9 6 1 . 1+3 = 2+1 = 1 + 1 = 4+1 = 1 +4 = 2 + • =3 1 + • = 4 1 + • =2 1 + • =5 4 + • =5 • • 2 + 2 = • • 3 + 2 — •• • 2 + 3 = • •9 — A • • 3 • 5 •• z 1 4 ••• 2 + =5 l. 1 + • =2 2 + • =4 2 + • =3 1 + • =3 3 . 3 + ■ = 4 1 + • =4 4 + • = 5 1 + • =5 2 + • =5 3 + • = 5 7 1 j j [ | — 1 + 1+2 = 2 + 1 + 3 = 1 + 1 + 2 = 1 + 3 + 1 - 3 + 1 + 1 = 1 + 2 + 2 = 2 + 2 + 1 = 1+3 +1 = 4 3 + • = 4 3 2+•=5 5 l +=2 4 2+•=4 4 3+•=5 2 + 1 + 1 = 3 + 1 + 1 = 1 + 2 + 1 = s Števila do deset. (Ponazorovanje, štetje, obrazci, številke.) OOOOO OOOOO 10 9 Prištevanje in dopolnjevanje. (1. Vrsta 1 + 1, 2 4 1, 3 + 1, 4 + 1, 5 + 1, 6 1 1, 7 + 1, 8 + 1, 9 1 in obratni računi.) • • • • • 9 1 = • •••• 9 + • = 10 ••••• 1+9= • •••• 1 + • = 10 1 . 4^ 00 10 1 + • =2 2+ • =3 1 + • =3 3+ • =4 1 + • = 4 2 . 4+ • = 5 1 + • =5 5 + • = 6 1 + • =6 6+ • = 7 1+ • = 7 7 + • = 8 1 + • =8 8+ • = 9 1 + • = 9 9+ • = 10 1 + • = 10 5+ 1 = 1 + 7 = 1 + ■ = 10 1 + • = 7 1 + 5 = 3+ 1 = 1 + • = 4 1 + • = 8 9+ • =10 7+ • = 8 3 . 1 + • = 2 3+ • = 4 2+ • = 3 1 + 3 = 7+ 1 = 9+ 1 = 1 + • = 6 1 + • = 3 1 + • = 5 4+ 1 = 1 + 8 = 1 + 9 = 5+ • = 6 6+ 1 = 2 + 1 = 4 . 5 . 1 + 8 + 1 = 6 + 1 + 1 = 4+l+1= 1+4+1= 2 + 3 + 1 = (2. Vrsta 1 + 2, 2 + 2, 3 + 2, 4 + 2, 5 + 2, 6 +2, 7 + 2, 8 + 2 in obratni računi.) 2 + • = 3 2 + • = 4 2 + • = 5 + + 4 - 11 •• • 5 + 2 = ••• • 5 + • =7 • • • 2 + 5 = •••• 2 + • = 7 ••• • 7 + 2 = • ••• • 7 +•= 9 •••• 2 + 7 = • •••• 2 +•= 9 •••• • 8 + 2 = • ••• • 8+-=10 ••••• 2 + 8 = • •••• 2 + • = 10 1 . 2 . 3 . 6 + 2 = 2 + 8 = 2 + • =9 5 + 2 = 2 + • =8 o o 12 4 . 5 . (3. Vrsta 1+3. 2 + 3, 3 + 3, 4 + 3, 5 + 3, 5 + 3, 7 3 in obratni računi .) 1+3= 1 + ■=4 2 + 3= 2 + ■ =5 3 + • =6 • • • • • • yi oo 13 •• •• 5 + 3 = • •• • 5 =8 • • • • 3 5 = •••• 3+=8 • • • • • • • • • • • • • e • • • • • • •e« • 6 + 3 = ••• •• 6 + • =9 •••• 3 + 6 = • •••• 3 +•= 9 7 + 3 = 7 + • =10 3 + 7 = 3 + • =10 2 . 3 + 2 = 3 + 5 = 7 + 3 = 3 + • = 10 3+ • = 9 3 + • = 9 3 . 14 3 + 5+ • = 10 3 + 3 + • = 7 3 + 4 + • = 8 3+3+•= 9 2+1+•= 4 2 + 2 +• - 8 4 . 1+5+•= 9 2 + 1 + • = 5 5 + 2+ • = 10 5 + 3 + • = 9 3 + 2 + • = 7 1 + 1 + • = 5 2+1+7= 1 + 2 + 6 = 1+3+3= 6 + 1+ 3 = 2 + 2 + 3 = 4+1+3= 3+4+3= 2+1+3= 2+1+5= 3 + 4+ • = 10 2+1+•= 9 6 + 1 + • = io 5 . (4. Vrsta 1+4, 2 + 4, 3 + 4, 4 + 4, 5 + 4, 6 + 4 in ••• •• 6 + 4 = • •• •• 6 + • = 10 4 + 6 = 4 + • =10 15 1. 2 . 4 + • = 6 5 + • = 9 4 + • =10 1 + ■ = 5 6 + • =10 4 + • = 8 4 + 6 = 3 + 1 = 1+4 = 6 + 4 = 5 + 4 = 4 + 2 = 2 + • =6 4 + • =9 4 + • =8 1 + 3 + 4 = 5 + 1 + 4 = 1 + 1 + 4 = 3 + 1 + 4 = 2 + 2 + 4 = 1 + 5 + 4 = 3 + 1 +•= 7 5 + 2 +•= 8 4 + 5 + • = 10 2 + 2+•=9 1 + 2 + • =7 3 + 1+•=9 1 + 3 + 3 = 4 + 2 + 3 = 5 + 2 + 3 = 4 + 2 + 4 = 3 + 4 + 3 = 4 + 3 + 2 = 3 + 4 + • — 10 2 + 2 + • = 10 1 + 3 +•= 9 2 + 2 + • =8 2 + 3+•=9 2 + 4+•=7 2 + 1 + 4 = 2 + 2 + 6 = 2 + 4 + 4 = 2 + 2 + 3 = 3 + 2 + 4 = 4 + 1 + 4 = 4 + 1 +•= 9 5 + 4 + • = 10 3 + 2 + • = 9 4 + 1+•=8 2 + 4 + • =9 1 + 4+•=7 1 + 3 + • = 7 2 + 2 +• =6 1 + 4+•=9 4 + 3+•=8 1 + 1+.=6 4 + 4 +• =9 3 + 1+•=8 2 + 2+•=7 4 + 3 +•= 9 3 + 1 + • = 10 5 + 1 +•= 9 3 . 5 . 4 + 2 + • = 10 3+4+.= 8 2 + 4 + • = 10 16 (5. Vrsta 1 i~ 5, 2 + 5, 3 + 5, 4 + 5, 5 + 5 in obratni računi.) 1 +5 = 2 + 5 = 2 + 3 + 4 + = 6 = 7 = 8 = 9 5 + 1 5 + 2 5 + 3 5 + 4 • • • • • • • • • • 5 + 5 = 5 + • = 10 1 . 1 + 5 + 2 + 5 + = 6 = 6 = 7 = 7 3 + 5 = 4 + 5 = 1 +5 = 5 + 1 = 2 + 5 = 5 + 2 = 5 + 3 — 4+ • =9 2 + 5 = 5+ • =9 5 + 3 = 3 + 5 = 5 + 3 = 4 + 5 = 5 + 4 = 5 + 5 = 5+ 1 = 3+ • = 8 5 + 5 = 3 + • = 10 4 + 5 = 2 . 1 +5 = 5+ • = 7 3 + 5 = 2+ • = 7 5 + • = 10 5 + 2 = 5+ • =6 4 + 5 = 1 + • =6 5 + •' = 9 5+ • =6 5+ • =7 5+ • =8 5 + • =9 3+ • = 8 5+ • = 8 4+ • = 9 5+ • = 9 5 + • =10 5 + . = 10 5 + 4 = 5+ • = 8 5 + 5 = 4+ • = 9 3 . 4 + 1 + 3 = 2 + 3 + 5 = 4 + 1 + 4 = 3 + 2 + 4 = 3 + 2 + 2 = 2 + 3 + 3 = 4 + 1 + 1 = 1 + 7 + .= 10 2 + 5 + -= 9 1+5 + .= 7 1 + !'+•= 10 1+5 + -= 9 2 + 7 + -= 10 5 + 2 + -= 9 3 + 3 + -= 10 6 + 2 + -= 9 1+8 + -= 10 1 + 1 +• = 8 4 + 2 + -= 10 1 +4 + 5 — 5 + 3 + 2 = 2 + 3 + 4 = 5 + 1 + 3 = 3 + 2 + 3 = 3 + 2 + 5 = 1 + 2 + 5 = 3 + 5 + -= 9 2 + 2 + -= 10 1+6 + -= 8 2 + 6 + • = 10 1 + 1 +•= 9 1 +3 + -= 10 2 + 1 +•= 9 3 + 3 + .= 8 2 + 4 + •= 10 5+1 + • = 9 3 + 3 + .= 7 1+5 + *= 9 1 + 1 + • = 7 1 + 3 +•= 9 4 + 1 + • =- 10 3 + 2 +•= 7 5 + 1 + • = 10 4 + 1 +•= 6 1 + 5 +•= 8 5 . 3 + 6 + -= 10 2 + 6 + *= 9 3 + 1 +•= 6 5 + 3 + • = 9 6 + 2 + -= 10 4+2 + -= 8 3 + 1 +•= 10 3 + 4+.= 9 1+5 + -= 8 4 + 3 + -= 10 1 +2 + *= 9 7 + 1 +•= 9 1 + 5 + • = 10 2 + 3 + • = 9 5 + 2 +• = 9 1 + 4 + • = 10 2 + 2 +• =9 5 + 1 + •=8 2 + 5 +• =9 2 + 5 + • — 10 1+6 + -= 9 5 + 1 +•= 10 2 + 4 + -= 9 6 + 1 + • = 10 3 + 4 + -= 8 1 + 1 + 7 = 1 + 2 + 6 = 1+5+4= 2 + 4 + 4 = 1 + 1 + 6 = 2 + 1 + 6 = 7 . 3 + 3 + • = 10 1 + 2 +•= 9 2 + 5 + • = 8 Črnivec: Računica za osnovne šole I. 2 18 (Za ponavljanje do mehanske spretnosti med poznejšim poukom.) 1 . 2 . 1 + • =6 3+ • =9 6 + • =8 5+ • = 8 3 + • = 6 1 + • = 10 5+ * =10 7+ • = 9 4+ • = 7 2+ • =3 1+ • =9 4+ • =6 7 + • = 8 3+ • = 10 1 + • = 7 5 + 4 + 2 + 8+ • =9 1 + • =5 3+ • =8 2+ • = 9 6 + • =10 l+ = 3 9+ • =10 2 + ■ = 4 4+ • =10 2+ • = 5 2 + • = 10 5 + * = 7 3+ =5 1 + • =4 4 r ■ =9 6+ • =9 3+ • =4 2 + • =6 2 + • =8 3+ • =7 1 + • =8 5 + * = 6 4+ * = 8 7+ • =10 1 + • = 2 8 + • =10 6 + * = 7 19 Odštevanje. (Pojem „proč“ ali „manj“ in znamenje zanj.) • • • • • • • 2—1 3 — 2 • • • • • • • • © • -ME 5 — • 0 2 e 0 5 *->■ 0 0 0 — 3 <1. Vrsta 2 — 1; 3 — 1, 3 — 2; 4 - 1, 4 — 2, 4 — 3.) 0 »+0 0 0 0 0 0»0 0 0 0 0 0»0 0 0 2 - 1 = 0-ec© 3 - 1 = 3 - 2 = 1. 04-C0 0*^0 4 - 1 = 4 - 3 = 4 - 2 = 20 (2. Vrsta 5 —1, 5 — 2, 5 — 3, 5 — 4; 1 — 1, 2 — 2, 3 — 3, 4 — 4, 5 — 5.) © • • •!• 5 - 1 = 5 - 4 = 2 . 5 - 2 = 5 - 3 = 1 - 1 = 2 - 2 = 3 - 3 = 4 - 4 = 5 - 5 = 5—2+4= 1— 1+5= 4—1+2= 4—4+3= 4— 2+5= 3 — 3 + 8 = 5— 5+6= 2 — 1 + 8 = 3 — 1+•=7 5 — 4+•=2 5 — 1+•=8 5 — 3+•=9 3 —2 + • =8 5 — 3 + • = 3 4 — 1+•=9 5 — !+•=6 3 . 5 — 4 +• = 3 3 — ]+.= 8 5 — 2 +• = 7 5 — 1 + • = 10 5 —3 + • = 4 4 — 2 +•= 6 2 — 2 + • = 4 5 — 1 + • = 5 4 — 1 + • — 4 5—2+• = 8 4 —2+ • = 10 5—4+• = 4 4-3+• = 7 4—2+• = 4 3—1 + • = 5 2 — 2 + • = 10 - 6 .) (3. Vrsta 6 — 1, 6 — 2, 6 — 3, 6 — 4, 6 — 5, 6 • ©|® © • © 6 - 1 = 6 - 5 = 6 6 0 ©I© • ©I© 2 = 4 ©[• • e ©le 6 - 3 = 6 - 6 = 21 1 . 2 . • • • • • • • 7 - 3 = 7 - 4 = 7 - 7 = 1 . 22 2 . 3 . 8 - 1 = 8 - 2 = 8 ~ 7 = 8 - 6 = • ••!• 8 - 3 = 8 - 5 = • • • • • • • • 8 - 4 = 8 - 8 = + + 23 1 . 2 . 3 . 6+2—4= 5+3-2= 4+4-3= 6 + 2 - 6 = 3+5—1 = 2 + 6 - 2 = 7—1+4= 5+2—3= 2+6—3= 4+3—2= 3+5—5= 4 + 4 - 2 = 6 — 5 + • = 4 7 — 1 + - = 9 6 — 4 + • = 8 7 — 3 + • = 6 8 — 4 + • = 9 7 — e + . = 5 6 + 2 — 5 = 7+1—6 = 6 + 2 — 7 = 3+5—6= 3+4—1 = 1+7—2= 4 + 4— 1 = 6— 5+9= 6 — 1 + 2 = 7— 6 + 2 = 8 — 3 + 1 = 7—5+1 = 6 — 4 + • = 7 8 — 5 + • = 10 8 — 7 + *= 7 8 — 1 + • = 10 6- 3 + -= 4 7- 3 + -= 8 6—4+2= 8 - 6 + 8 = 8 — 5 + 3 = 6— 3+4= 7— 1+2= 6 - 6 + 3 = 24 (6. Vrsta 9 — 1, 9 — 2, 9 — 3, 9 — 4, 9 — 5, 9 — 6, 9 9 — 8, 9 — 9.) 9-9 = 7 , 1 . 7+2—5= 3+6—3= 8+1—5= 7 + 2 — 8 = 5+4—7= 2+7—4= 9 — 6 + -= 10 g_8 + .= io 9-2 + -= 8 9— 1 +•= 9 9 — 9 + • = 3 9 — 3 + .= io 9 — 4 + • = 8 9 — 5 + • = 7 9 — 8 + • = 9 9 — 7 + • = 8 9 — 6 + • = 9 9-3 + -= 7 9 — 7 + • = 6 8 — 7 7 — 6 8 — 3 + • = 6 7-6 + - = 5 8 — 2 + • = 9 3. 5+4—2= 4+4—6= 3+4—5= 2+5—6= 3+3—6= 4 + 5 — 1 = 2+4—5= 3+6-2= 8 — 4 + • = 9 7 — 4 + • = 5 8 — 5 + • = 7 9 — 8 + • = 3 9-3 + -= 7 8 — 3 + -= 9 7 — 1 +•= 8 9 — 2 + -= 10 + + 25 4+5 — 3 = 8+1 —4 = 6 + 3 — 6 = 9—1 + • = 10 8 — 5 +•= 6 7— 4+•= 5 9— 1+•= 9 7 —2+ • = 10 8— 8+•= 5 7—5+•= 9 2+7—8= 3+6-1= 1+8—3= 1 + 8 — 2 = 2 + 3 — 2 = 6+3—5= 1 + 8 — 1 = 7+2—4= 3+2—4= 8 + 1 — 6 = 8 —7 + • = 7 7—3+-= 5 7 —5 + • = 10 4 . 4+5—7= 7+2—3= 9—4+2= 8—4+6= 9—6+5= 8—7+1= 8—8+9= 8—1 7 — 7 9 — 5 9 —7 + • = 7 8 — 6 + ■=5 7—6+•=6 9—9+•=7 6 — 5+ • = 10 (7. Vrsta 10—1, 10 — 2, 10 — 3, 10 — 4, 10 — 5, 10 — 6, 10 — 7, 10 — 8, 10 — 9, 10—10.) • • « • I* 10-1 = 10-9 = 10-2 = 10-8 = 10 - 3 = 10-4 = 10 - 7 = 10-6 = i tiTi • 10 - 5 = 10-10 = 1 . f + + 26 2 . 3 . 10 — 7 + - = 8 10 — 4 + - = 9 10 — 6 + • = 8 8-6 + -= 4 9 — 8 + • = 10 10 — 7 + -= 9 9 — 6 + • = 5 10 — 4 + • = 8 8 — 4 + • = 9 8 — 2 + • = 7 10 — 5 + - = 6 8 — 5 + • = 4 Ponavljanje. 1 . 10-1= 9-1= 8—1= 7—1= 6—1= 5—1= .... 10 — 2= 9 — 2= 8 — 2= 7 — 2= 6 — 2= 5 — 2= . . . . 27 2 . 28 ■2 7 ■5 2 7 . ■4 ■6 ■9 ■6 (Za ponavljanje do mehanske spretnosti ined poznejšim poukom.) 29 Števila do dvajset. (Nazorna tvoritev, pisanje.) 10 30 (Prištevanje številu 10.) 3 . 1. 9+ 1 + 1 = 8 + 2+ 3 = 7 + 3+ 2 = 6 + 4+ 5 = 5 + 5 + 4 = 4 + 6+ 7 = 2 + 8+ 9 = 1 + 9+ 10 = 5+5+ 9 = 1 . 5 + 5+ • = 19 7 + 3 + • = 17 9 + 1 + • = 20 8 + 2+ • = 16 1 +9+ . = 10 5 . 8 + 2+ • = 14 6 + 4+ • = 16 1 + 9+ • = 17 2 + 8+ • = 19 5 + 5+ • = 16 2 . 5+5+6= 1+9+8= 3+7+9= 2+8+7= 6 + 4 + 3 = 7+3+8= 4 + 6 + 8 = 9+1+5= 8+2+4= 9+ 1 + • = 15 4 + 6+ • = 13 2 + 8 + • = 20 3 + 7+ . = 18 8 + 2+ • = 17 6 . 3 + 7 + • = 20 4 + 6+ • = 18 2 + 8+ • = 15 7 + 3+ . = 18 1 +9+ . = 12 1+9+ 2 = 3 + 7+ 6 = 5+5+ 8= 6 + 4+ 4 = 1+9+ 6 = 2+8+ 5= 3+7+10 = 4+6+ 3= 6 + 4+ 6 = 9+1 + 10 = 3 + 7 + • = 14 4 + 6+ • = 17 5 + 5 + • = 14 7 + 3+ • = 15 6 + 4+ • = 13 7 . 1 +9+ . = 16 6 + 4+ • = 15 2 + 8+ • = 17 6 + 4 + • = 14 5+ 5+ • = 15 4 5 + 5 + 5 = 2 + 8+ 4 = 1+9+ 5 = 4 + 6+ 4 = 7 + 3+ 5 = 3 + 7+ 4 = 8 + 2+ 7 = 2 + 8 + 10 = 1+9+ 7 = 8 + 2 + 6 = 4 . 7 + 3+ • = 12 3 + 7+ • = 19 5 + 5 + • = 18 1 + 9 + • = 15 8 + 2+ • = 13 8 . 1 + 9 + . = 18 3 + 7+ • = 16 2 + 8 + • = 14 9 + 1 + • = 11 8+ 2+ • = 14 7+3+7= (Dopolnjevanje številu 10.) 2 . 3 . (Prištevanje od 10 do 20.) 1 . 31 2 . (Dopolnjevanje od 10 do 20.) 1 . 12 + -= 18 11 -h * = 16 14 + -= 18 17 + .= 19 11 + • = 15 18 + - = 20 16 + - = 20 12 + -= 19 17+ . = 20 11 +•= 19 19 + - = 20 14 + .= 17 2 . 17 + -= 18 16 + • = 19 12 + - = 20 14 + .= 19 11+-= 17 18 + • = 19 16 + -= 18 12 + • = 15 11 + . = 20 13 + -= 19 12 + -= 17 11 4- - = 14 16 + - = 17 13 + • = 16 15 + .= 18 13 + .= 17 15 + • — 20 14 + - = 20 1 . 10 + 7 + 2 = 15 + 2 + • =18 9+1+7= 6 + 4+ • =12 13 + 2 + • = 10+1+5 = 6 + 4 + • =18 13 + 4 + 3 = 19 10 + 2 + 2= 12 + 2 + • = 19 13 + 2+1 = 3 + 7 + • = 15 9+1+8= 1 +9 + • =19 2+8+3= 11 + 3 + * =18 3 + 7 + • =12 2 + 8 + 6 = 4 + 6 + • =16 1+9+3= 7 + 3 + •= 19 11+5+1 = 5+5+9= 12 + 3 + • =17 9+1+9= 13 + 3 + 3 = 14 + 3 + • =19 10+1+4 = 32 2 . 4+6+• —15 2 + 8 + 2 = 14+1 + • =19 10 + 6+2 = 6+4+ * =17 3+7+3 = 15+1 + * =17 10+3+6 = 5+5+ • = 17 4+6+9= 8+2+ • = 15 10+3+3 = H+6+- =19 12 + 2+2 = 7+3+ * =16 8 + 2+8 = 1 +9+ • = 14 11+3+1 = 10+5+ - =16 12+3+3 = 10+4+• =17 8+2+9= 11 + 1 + . =19 6+4+9 = 11+3+- =18 5+5+3 = 14+1 + • =18 2 + 8 + 8 = (Odštevanje do 10.) • • • • • • • • • • 2 . 13 + 5— 8 17-7+ 5 17 + 3—10 18 + 2—10 20—10+ - =15 15— 5+ • = 18 14— 4+ • = 19 H- 1 + • = 16 19— 9+ • = 19 20— 10+• = 18 11— 1 + * = 15 13— 3+ • =20 16 — 6+ 7 = 15 + 2— 7 = 14 + 6—10 = 12 — 2+10 = 33 13 + 4 — 7 = 12 — 2 + 8 = 17 — 7 + 9 = 11+7-8 = 14 — 4 + • — 19 19 — 9 + .= 17 18 —8+ - = 20 13 — 3 + *= 15 17— 7 + • = 14 14- 4 + • = 13 20 — 10 + * = 12 12— 2 + • = 19 13 + 6- 9 = 13 — 3+ 4 = 15 + 5 — 10 = 18 — 8+ 7 = (Odštevanje med 10 in 20.) 9-5= !!!! ! !l! * 19-5 = 1. 2. 3. 13 — 2 + 6 = 14 — 3 + 8 = 14 — 2 + 5 = 15 — 4 + 6 = 16 — 5 + 4 = 12— 1 +•= 14 13 — 2 + - = 18 14 —3 + - = 20 15 — 3 + .= 19 , 6 _5 + .= 17 17 — 6 + 8 = 18 — 2 + 3 = 19 — 4 + 2 = 20 — 6 + 2 = 20 — 1 — 5 = 17 — 3 + .= 15 18-4 + -.= 17 19_ 4 + . = 2o 20 — 9 + -= 19 20-5 + -= 16 Črnivec * Računica za osnovne šole. I. 5 34 20 - 3 + 2 = 20 — 5 + 3 = 20 — 7 + 6 = 20 — 9 + 4 = 19 — 2 + 3 = 19-3 + 4 = 19 — 8 + 7 = 19 — 6 + 4 = 18 —3+ 1 = 18 — 5 + 4 = 20 — 2 — 8 = 15 + 2 — 6 = 20 - 4 + 3 = 14 + 3 — 7 = 20 — 6 + 5 = 20 - 9 + 3 = 16 + 2 — 8 = 19 — 2 — 7 = 18 — 4 + 2 = 16 + 3 — 9 = 2 . 12—1 +•= 18 14 — 2 + * = 13 15 — 3 + - = 14 16 — 5 + • = 19 16 — 2 + * = 17 3 . 19 _ 5 + .-20 19-7 + *= 18 18 —2+ - = 20 18 — 5 + * = 15 18-7 + -= 19 16-4 + 5 = 16 — 3 + 6 = 17 — 5 + 3 = 17 — 3 + 5 = 18 — 6 + 5 = 19-6 + 7 = 17 — 4 + 7 = 16 — 3 + 4 = 17 — 5 + 8 = 16 — 2 + 4 = Prištevanje in dopolnjevanje črez 10. (1. Vrsta 9 + 2, 9 + 3, 9 + 4, 9 + 5, 9 + 6, 9 + 7, 9 + 8, 9 + 9 in obratni računi.) 9 + L+t-i = 9 + 2 = 2 + §_iJ = 2 + 9 = 9 + = 9 + 3 = 3 + Z_+J = 3 + 9 = 1. 9+3+7= 2+9—1= 3+9+8= 9+2+3= 6 + 3 + -=11 10 — 8 + * = 11 5 + 4 + • = 12 7 — 4 + .= 12 4— 1 +.= 12 6-3 + -= 12 7 + 2 + • = 11 10 — 7 + - = 12 6 + 3 + • = 12 7 — 5 + *= 11 3 + 6 + -: 7 + 2 + -: 5 — 3+*: 9 + 2 + * : 5 + 4 + - : 11 12 11 18 11 9 + 3 + • 4 + 5 + • 2 + 9 + ■ 8 — 6 + • 3 + 9 + ■ 17 12 19 11 19 36 9 + 4 = 4 + 9 = 9 + 5 = 5 + 9 = 3 . 9 + 4 + 3 — 4 + 9 — 3 = 9 + 5 — 4 = 5 + 9 + 6 = 9 + 2 + 9 = 9 + 4 - 3 = 9 + 5 + 6 = 4 + 9 + 5 = 5 + 9 — 4 = 3 + 9 + 4 = 2 + 7 + 4 = 8 + 1 + 5 = 8 — 4 + 9 = 2 + 3 + 6 = 9 + 3 + 6 = 5 + 9 + 2 = 9 + 4 — 2 = 9 + 5 — 3 = 4 + 9 + 7 = 2 + 9 + 5 = 6 + 3 + 4 = 6 — 2 + 9 = 10 — 5 + 9 = 4 + 5 + 5 = 3 - 1 + 9 = 9 + • = 13 9 + • - 14 4 + ’ = 13 5 + • = 14 4 . 8 + 1 +•= 13 10 — 6 + -= 13 3 + 6 + -= 14 7 + 2 + -= 14 4 — 2 + '= 11 8 — 3 + '= 14 5 — 1 +•= 13 3 + 6 + -= 13 7 + 2 + *= 14 9 — 6 + '= 12 9 + 4 + -= 17 1 +3 + -= 13 5 + 9 + -= 18 4+1 + • = 14 2 + 7 + -= 12 9 + 5 + -= 17 4 + 5 + -= 13 2 + 7 + -= 14 4 + 9 + .= i 7 1 + 8 + • = 11 9 + 4 + • = 20 2 + 2 + -= 13 5 + 9 + • = 15 1 + 8 + -= 14 9 + 6 = 9 + 7 = 5 + 9 = 7 + 9 = 5 . 9 + • = 15 6 +- • = 15 9 + • = 16 7 + • = 16 37 1 + 8 + • = 15 9 — 3 + • = 15 6 + 3 + • = 16 10 —3 + - = 16 1 + 4 + • = 14 7 _ l +. = i 5 6 9 — 2 + • = 16 4 + 5 + • = 15 1 + 8 + • = 16 9 — 5 + • =13 9 + 6 + • =20 10 — 4 + - =17 9 + 7 + • = 19 8—1 +- = 16 5 + 4 + • =13 7 + 9 + • =20 2 + 7 + • = 16 6 + 9 + • = 18 3 + 6 + • =15 6 + 3 + • = 14 4 + 2 + • = 15 2 + 5 + • = 16 4 + 5 + • =16 8+1 + • = 15 9 + 8 = 8 + 9 = 9 + 9 = 7 . 9 + • = 17 8 + • = 17 9 + • = 18 7 + 2 + • =17 3 + 6 + * = 18 9—1 +.=17 2 + 7 + . =i 8 6 + 1 +-=16 3 + 2 + • =14 6 + 3 + • =17 1 + 8 + • =18 6 + 2 + • =17 3 + 6 + • =17 5 + 1 + • =15 5 + 4 + • = 14 9 + 8 + • =20 2 + 7 + • = 17 4 + 5 + • =18 9 + 9 + • =20 7 + 2 + • =16 7 + 3 + • = 13 5 + 3 + • =17 8 + 9 + • =19 2 + 6 + • =17 5 + 4 + • = 18 2 + 7 + • =15 3+1 +- = 13 1 + 8 + • =17 8 + 9 + • = 18 6 + 1 +- = 16 4 + 4 + • = 17 38 (2. Vrsta 8 + 3, 8 + 4, 8 + 5, 8 + 6, 8 + 7, 8 + 8 in obratni računi.) 8 + 3 — 8 + 4 = 3 + 8 = 4 + 8 = 1 . 8 + • = 11 8 + * = 12 3 + * = 11 4 + • = 12 9 — 6 + - =11 4 — 1 + • =i 1 10 — 6 + - =12 6 + 2 + - =12 4 + 9 + • =16 6 — 3 + • = 11 2 . 1 + 3 + - = 12 9 — 6 + • =11 5 — 1 +-=12 9 + 5 + • =16 3 + 8 + • = 17 1 +2 + - = U 4 + 8 + - = 16 9 — 5 + • =12 5 + 9 + • = 19 4 + 8 + • =20 3+ 1 +- = 12 3 + 8 + • =20 8 — 5 + * = 11 9 + 4 + • =14 7—4 + - = 11 8 + 4 + • =20 3+1 + • =12 2 + 6 + . = 11 8 + 5 = 5 + 8 = 8 + 6 = 6 + 8 = 3 . 39 8 + • = 13 8 + • = 14 5 + • = 13 6 + • = 14 4 . 10 — 5 + -=.13 2 + 3 + • = 13 4 + 2 + • = 14 8 — 2 + • = 14 8 — 5 + • = 11 6-1 +- = 13 3 + 3 + • =14 8 — 3 + • =13 1 + 5 + • = 14 6 — 2 + - = 12 4 + 4 + • = 13 2 + 4 + • = 14 1 + 3 + • =12 3 + 3 + • = 14 3 + 5 + • =11 5 + 8 + -=20 7—1 + • = 14 6 + 8 + • =20 7 — 2 + • = 13 8 + 6 + • =20 1 + 4 + • = 13 2 + 6 + • =13 9 + 3 + • = 14 8 + 7 = 7 + 8 = 8 + 8 = 5 . 8 + • = 15 7 + • = 15 8 + • = 16 7+1 +- = 15 3 + 5 + • = 15 3 + 4 +- = 15 6 + 1 +- = 15 2 + 7 + • =14 2 + 4 + • =15 8 .+ 7 + • = 16 3 + 5 + • = 16 9 — 2 + • = 15 10 — 2 + . = 16 10 — 3 + - = 15 6 — 2 + • = 13 5 + 2 + • = 16 7 + 8 + • = 18 8—1 +- = 15 5 + 3 + • = 15 6—1 +-=14 7 — 3 + • = 12 6 + 1 +. = 15 8 + 7 + • = 18 6 + 2 + - = 16 1 + 7 + * = 15 2 + 7 + • = 15 8 — 6 + • = 11 10 — 2 + - = 16 4 + 4 + • = 15 7+1 +- = 16 9—1 +- = 16 40 8+4+4= 4+8—1= 4+4+7= 8+3+9= 4+9+3= 8—6+9= 7 . 8+7+1= 8+5+5= 8 + 6 — 2 = 2+5+8= 5+9+2= 2+7+2= (3. Vrsta 7 + 4, 7 + 5, 7 + 6, 7 + 7 in obratni računi.) 7 + 4 = 7 + 5 = 4 + 7 = 5 + 7 = 1 . 7 + • = 11 7 + • = 12 4 + • = 11 5 + • = 12 10 — 3 + - =11 1 + 3 + • =11 5 + 2 + • =12 8 — 3 + • = 12 7+ 1 +- = 15 10 — 2 + • =11 5— 1 +- = 11 6 — 1 +-=12 1 + 6 + - = 11 9 — 2 + * = 12 5 + 2 + • = 15 9 _ 1 +. = ,, 7 + 4 + - = 19 3 + 4 + * =11 7 — 3 + • =11 7 + 5 + • =19 4 + 4 + • =16 10 — 2 + - = 12 7 — 2 + • =12 8 — 4 + • = 11 5 + 7 + • =20 3 + 4 + • =12 1 + 7 + • =11 9—1 +- = 12 41 7 + 6—3 6 + 7+6 7 + 7—4 6 + 7-3 7 + 4-7 5 + 2 + • 10 — 3 + • 9 — 2+ • 5 + 2 + • 4+ 1 + • 3 + 3 + • 6 + 5 + 3— 5 + 6 + 4= 6 + 6 — 2 = 5 + 6 + 9= 7 + 6—1 = 5 + 7 + 3= 7 + 6 — 6 + 7 = 7 + 7 = 3 (4. Računi 6 + 5, 5 + 6, 6 + 6.) 6 + 5 = 5 + 6 = 6 + 6 = 1 . 42 = 11 = 11 6 + • = 12 6 + • 5 + • 3 + 3+-=11 8 — 2 +- = 11 4 + 2 + - = 12 7 — 1 + - = 12 1 + 6 + - = 13 8 — 1 + • — 11 3 + 2 + • — 11 7 — 2 + • = 11 3 + 4 + * = 14 8 — 2 + * =12 10 — 4 + - = 13 10 — 5 + • = 11 10 — 4 + - = 11 3 + 4 + • = 13 10—4 + - = 12 1 + 5 + * = 11 2 + 3 + - — 12 4+1 + • =11 6 + 1 + - = 14 4 + 2 + • = 11 2 + 4 + • = 12 3 + 3 + • = 12 9 — 4 + • = 11 1 + 6 + - =12 (Za ponavljanje do mehanske spretnosti med poznejšim poukom.) 1 . 4- + * = 11 8 + =17 6 + * = 11 7 + • = 13 5 + -= 12 6 + *= 14 9 + *=16 3 + *=12 7 + = 11 8 + *= 12 2 + = 11 7 + -= 15 6 + *= 12 9 + -=ll 8 + - = 14 2 . 7 + •= 16 5+=14 6 + -= 15 8 + * = 16 9 + * = 17 5 + * = 11 4 + * = 12 8 + * = 15 9 + - = 12 7 + * = 14 5 + * = 13 9 + ,= 18 8 + • = 11 9 + -=13 4 + •= 13 8 + * = 12 3 + -= 11 9 + *= 14 7 + *= 12 9 + * = 15 6 + *= 13 43 Odštevanje črez 10. (1. Vrsta 11-2, 11-3, 11-4, 11-5, 11-6, 11-7, 11 — 8 , 11 — 9 .) 10 — 2 = 1 44 (2. Vrsta 12 — 3, 12 — 4, 12 — 5, 12 — 6, 12 — 7, 12 — 8, 12 — 9.) 12 — 3 = 12 - 5 = 12 — 4 = 12 - 6 = 1 2 . 3 . 45 (3. Vrsta 13-4, 13-5, 13-6, 13-7, 13-8, 13-9.) 13 - 4 = 13 - 5 = 13-6 = 1 . 3 . (4. Vrsta 14 — 5, 14 — 6, 14 — 7, 14 — 8, 14 — 9.) 14 - 5 = 14 - 6 = 14-7 = 1 . 46 14-8+6 14— 9+8 13+1—8 9+5—9 15— 1—8 12—4+5 6+6—5 12 - 6+8 6+6—7 4+8—9 15—6+2 15—7+4 15—8+7 15—9+5 12+3—6 15—8+9 20—6—7 13+2-9 15—7+8 19—4—9 14 - 8 = 14-9 = 2 . 3 . (5. Vrsta 15 — 6, 15 — 7, 15 — 8, 15 — 9.) 15 - 6 = 15-8 = 15 - 7 = 15-9 = 1 . 2 . 47 (6. Vrsta 16 — 7, 16 — 8, 16 — 9.) 16 - 7 = 16 - 8 = 16-9 = (7. Računi 17 - 8, 17-9, 18 — 9.) 17 - 8 = 17 - 9 = 18-9 = 1 . 17- 8 + 5= 18- 9 + 7= 17-9 + 6= 15 + 3 — 9= 19- 2 — 9= 11 + 6 - 8 = 13 + 5 — 9= 12 + 3 — 7= 11+7 — 9= 3 + 8-4= 5 + 7 — 5= 6+7—6= 19 = 5 — 7= 12 + 3 — 8= 17 + 5-8= 11+6-9= 9 + 8 9= jl7 — 8 + 6= 20—2 — 9= 16—7 + 4= 17 — 8 + 9= 12 — 6 + 7= 16-3-7= 5+9—8= 17 — 2 — 9= 19—8—6= 12 — 7 + 9= 20 — 7 = 8= 10 + 6 — 9= 17 — 9 + 7= 17- 8 + 4= 18- 9 + 5= 17-9+8= 15+1—8= 18 — 9 + 6= 2 . 14 9 + 6= 5+6 — 7= 6 + 7 — 9= 14-3-8= 7+5-9= 15 — 4—9= 17-8 + 7= 7 + 8-7= 15 + 2—8= 10 + 5 — 9= 14—5 + 7= 18—1—9= 14—1 — 7= 20 — 3 — 9= 18 — 9 + 4= 7 + 9—8= 16 — 9 + 5= 17-8 + 3= 10 + 7 — 9= 12 + 5—9= 4+9—8= 15-7 + 5= 18 — 9 + 8= 18 — 3 — 8= 8+9—8= 11+4-6= 18 — 9 + 3= 5+8—7= 17 — 9 + 5= 14 — 5 + 3= 10 + 7—8= 20—6—9= 16-7 + 2= 10 + 8 — 9= 13 + 4—8= 48 (Za ponavljanje do mehanske spretnosti.) 16-8 = 15-7 = 13- 5= 12-9= 14- 8 = 12-3 = Množenje v številnem obsegu do dvajset. (Pojem „krat“ in znamenje zanj.) • • • • 2X2 • • • • • • 3X2 • • • • • • 2X3 • • • • • • • • • • • • 3X4 (1. Množenje števila 2.) 1. 2 . 3 x 2+ • = 10 4 x 2+ • = 16 7 x 2+ • = 19 5 X 2+ • = 17 1X 2+• = 9 9X2— 8 = 2X2+ 7 = 6X2— 3 = 10 X 2 —10 = 7X2— 5 = 8 X 2+ • = 19 7 X 2 + • = 16 1 X 2+ • = 11 2 X 2+ ■ = 12 4 X 2+ • = 11 3X2+5= 6X2—4= 8X2—7= 10 X 2 —8 = 9X2—6= 49 4X2-8= 3X2+6= 7X2—6= 1X2+8= 9X2—3= 8X2- 4 = 10 X 2— 7 = 2X2+ 5 = 5 X 2+ 10 = 6X2— 8 = 1X2 + -= 8 3 X 2 + -= 15 5 X 2 + •= 19 4 X 2 + -= 12 2X2 + -= 6 (2. Množenje števila 3.) 1. 2 . 2 + 3 = 3X2 = 2X3+4= 3X2+7= 2X3+9= 3X2+5= 1X3 + -= 7 3 X 3 + -= 14 2 X 3 + -= 12 3 X 3 + *= 16 2 X 3 + -= 12 3X 3 + ■ = 18 4X3—4= 5X3—8= 6X3—5= 5X3—6= 4X3—3= 6X3—7= (3. Množenje števila 4.) 1. • ••• 4 • e • • 4 + 4 = •••• 8+4= • • • • 12 + 4 = • ••• 16 + 4 = 7X2—4= 10X2—3 = 8X2 — 5=' 9X2—4= 6X2+5= 3X3+3= 5X3+4= 6X3=4= 4X3—7= 2X3+3= 1X3+5= 1X3+9= 5X3—7= 4X3-9= 2X3+8= 3X3—4= 5X3+5= 2X4+2= 4X4—6= 3X4—5= 1 X 4 + 3 = 5X4-3= Černivec. Računica za osnovne šole I. 1 50 2X4 = 4X2 = 2X4—3= 4X2+6= 2X4+5= 4X2—6= 3X4 = 4X3 = 3X4+3= 4X3—4= 3X4+5= 4X3—6= 1X4+5= 3X4—3= 4X4—5= 2X4+7= 5X4—4= 2X4—8= 3. (4. Množenje števila 5.) 1. 3X5 1 X 5 4X5 2X5 2 . ali 1X5 = m 2X5 = „ 3X5 = „ 4X5 = 2X5 = 5X2 = 2 + 5 + 5 = 5X2+8 = 2 X 5-9 = 5 X 2— 10 = 5 5 + 5 = 10 + 5 = 15 + 5 = 3X5 = 5X3 = 3X5—9= 5X3—6= 3X5+5= 5X3—5= 4X5 = 5X4 = 4X5—9= 5X4—7= 4X5—6= 5X4—8= 2 X 4 + • = 17 4 X 4 + • = 20 1 X 4 + • = 10 3 X 4 + • = 20 2 X 4 + • = 12 4 X 4 + • = 19 4X4—8= 5X4—5= 3X4+7= 1 X 4 + 8 = 2X4—6= 3X4-9= 1 X 5 + 3 = 3X5—5= 2X5—6= 4X5—7= 2X 5+ • = 17 5 x 2+ • = 15 3 X 5+ • = 19 5 X 3 + • = 20 1 X 5+ • = 11 2 X 5+ • = 18 51 3. 3X3+4= 3X4+6= 3X2+7= 3X5—8= 1 X 2 + 9 = 1X5+4= 1X3+7= 1X4+8= 2X2+7= 2X4+6= 2X5—7= 2X3—6= 1X5— 5 = 3X5— 7 = 2X5— 6 = 4X5— 8 = 2 X 5— 10 = 3X5— 9 = (5. Množenje števil 6 in 7.) • • • • • 1 . 2 . 3. 1X6+8= 3X6—4= 2X7—6= 1 Xj7 — 7 = 2]X 6 — 5 = 2X7—8= 1 X 7+ • = 11 2 X 7 + • = 20 1 X 7+ • = 16 2 X 7+ • = 19 1 X 7+ • = 10 1 X 7+ • = 12 52 (6. Množenje števil 8, 9, 10.) 1 . 2 . (7. Množenje števila 1 s števili od 1 do 10.) 1 53 2 . 3. 1 . 54 2 ’ ' --V '■ ■ ,/• * ' - . s ■ . • • ' . . •