186 26 2MB
German Pages 37 [40] Year 1906
Rechenbuch für Vorschulen. In drei Heften herausgegeben von
I. Augsburger, Lehrer am König!. Luisen-Gymnasium zu Berlin.
Heft II. Mündliche und schriftliche Übungen im Zahlenkreise bis 1000.
Siebente Auflage.
Berlin W. 35. Druck und Verlag von Georg Reimer.
1905.
Rechenbuch für Vorschulen. In drei Heften herausgegeben von
I. Augsburger, Lehrer am König!. Luisen-Gymnasium zu Berlin.
Heft II. Mündliche und schriftliche Übungen im Zahlenkreise bis 1000.
Siebente Auflage.
Berlin, 1905. Druck und Verlag, von Georg Reimer.
Der Zahlenkreis von 1 bis 1000 Aufgaben für das mündliche Rechnen.
1. Stufe. 100, 200, 300, 400, 500, 600, 900, 1000.
700, 800,
10 Zehner = 1 Hunderter = 100 — 2 20 „ =200 n — 3 30 „ = 300 (l = 4 40 „ = 400 f — 5 50 „ =500 n — 6 60 „ = 600 n — 7 70 „ = 700 — 8 80 „ = 800 — 9 90 „ = 900 100 „ =1 Tausender = 1000 u — 10
Addition. Beispiel: | 110101 —t— 111 0101 = | | 2 | 0 | 0‘ 18 j 0 101 —t- | 2 | 0 | 0 | = 111 0101 0 1 1 0 j 0 | 0 | — | 5 | 0 | 01 = | | 5 | 0 I 0
1.
2.
3.
100 + 100 = ? 300 600 — „ 500 + 400= „ 100 + 600=,, 400 + 300=,, 800 + 200=,, 100 + 300= „ 600 + 100 = „ 200 + 500 = „ 700 + 300 = „
300 + 100 = 400 + 600 = 200 + 800 = 100 + 500 = 700 + 200 = 300 + 400 = 500 + 100 = 200 + 700 = 600 + 300 = 900 + 100 =
100 + 200 = 300 + 700 = 500 + 300 = 400 + 500 = 200 + 100 = 300 + 300 = 100 + 900 = 200 + 300 = 400 + 100 = 500 + 500 =
600 + 400 = 100 + 800 = 700+100 = 600 + 200 = 300 + 500 = 200 + 200 = 400 + 400 = 100 + 700 = 200 + 400 = 500 + 200 =
2.
1.
Subtraktion.
3.
900 —100 = 300 — 100 = 900 — 200 = 500 -400 = 800 — 400 = 600 — 200 = 1000 — 500 = 700 -100 = 1000 — 700 = 800 — 500 = 600 — 300 = 400 -300 = 900 — 500 = 1000 — 600 = 500 —100 = 1000 -200 = 500 — 200 = 700 — 300 = 800 — 600 = 500 -300 = 800 — 100 = 400—100 = 400 — 200 = 800 -700 = 700 — 400 = 900 — 400 = 600 — 100 = 1000 -400 = 1000 — 300 = 1000 — 100 = 1000 — 800 = 700 -600 = 200 — 100 = 600 — 500 = 700 — 500 = 900 -700 = 900 — 600 = 800 — 200 = 900 — 300 = 1000 -900 =
2. Stufe. 100 200 110 210 120 220 130 230 140 240 150 250 160 260 170 270 180 280 190 290
300 400 500 600 700 800 310 410 510 610 710 810 320 420 520 620 720 820 330 430 530 630 730 830 340 440 540 640 740 840 350 450 550 650 750 850 360 460 560 660 760 860 370 470 570 670 770 870 380 480 580 680 780 880 390 490 590 690 790 890 Beispiel: 16 ZesNier == 160 Einer.
5. 11 Zehner = 21 ff — 31 ff == 41 ff == 51 ff === 61 ff == 71 ff == 81 ff == 91 " Beispiel:
6.
900 910 920 930 940 950 960 970 980 990
7.
17 Zehner 15 Zehner — 86 ,ff 23 ff == 37 ff 34 ff = 48 ff 58 ff == 52 ff 79 ff = 22 ff 66 ff == 43 ff 75 ff == 18 ff 82 ff == 64 ,ff 98 ff === 110 Einer —11 Zehner.
8.
9.
110 Einer — 120 ff 130 ff 140 ff 150 ff 160 ff 170 ff 180 ff 190 ff
450 Einer — 230 ff === 350 ff == 470 ff == 510 ff == 670 ff === 730 ff === 890 ff == 940 ff =
10. 370 Einer 280 ff 910 ff 420 ff 380 ff 770 ff 560 ff 240 ff 680 ff
1000
1.
2.
Additiv». 3.
4.
5.
1004-10== 200 4-20 = 300 4-40 = 4004-50 = 500 4— 60 600 4-70 = 700 4-80 = 8004-90 =
1104-10 = 1104-20= 1104-30 = 1104-40 = 1104-50 = 1104-60 = 1104-70 = 1104-80 =
1204-10 = 1304-10 = 1404-10 = 1504-10 = 1604-10 = 1704-10 = 1804-10 = 1204-20 =
650 4-40 = 7604-20 = 8704-10 = 9404-30 = 6204-60 = 450 4-40 = 3704-20 = 5804-10 =
2304-60 = 4404-50 = 950 + 20 = 810 + 70 = 560 + 20 = 780 + 10 = 360 + 30 = 510 + 50 =
6.
7.
Subtraktion. 8.
9.
10.
110--10 = 120--20 = 230--30 = 350--50 = 460--60 = 570--70 = 630--30 = 920--20=
120--10 = 130--10 = 140--10 = 150--10 = 160--10 = 170--10 = 180--10 = 190--10 =
130--20 = 140--20 = 150--20 = 160--20 = 170--20 = 180--20 = 190--20 = 150--30 =
780--50 = 860--20 = 990--70 = 470--50 = 760--10 = 580--40 = 970--30 = 280--50 =
790--80= 540--20 = 880--60 = 370--50 = 830--20 = 960--50 = 250--40 = 770--30 =
3. Stufe. 1 Hunderter 0 Zehner 0 Einer = 100 Einer 1 1 ,, =101 „ 0 ff 2 1 0 „ =102 , // 1 3 „ =103 „ 0 // „ ff 4 , =104 „ 1 0 ff ff 1 0 5 „ =105 , // lf 6 , = 106 „ 1 0 ff 7 „ = 107 „ 1 0 1 8 „ =108 , 0 n 9 „ =109 „ 0 1 1 0 „ =iio „ 1 Beispiel: 1 H. 1Z. 1 @. = 111 E. u
11.
12.
13.
Beispiel: 101 E. = 1 H. 0 Z. 1. E.
1.
573 E. = E. = = 226 ff == ff, = 743 ff == ff, = 657 ff == ff, = 318 ff = ff, = 864 ff == ff, = 239 ff == ff, = 475 ff == ff, = 712 ff == ff, = 363 ff, Beispiel: 101 E. = 10 3.1 E.
4. 10 310 „ 10 „ 11 ,, 15 „ 20 „ 35 „ 72 „ 81 » „
3.
2.
101 E. = 213 105 ff 325 109 ff 376 115 ff 452 127 ff 496 135 ff 508 148 ff 580 172 ff 592 188 ff 695 195 ff 758 Beispiel: 10 Z. 16. = 101 E.
6.
5. 101 E. 104 „ 158 „ 226 „ 275 „ 308 „ 480 „ 532 „ 678 „ 713 „
1 E.= 9 „ = 4 „ = 6 „ = 2 „ = 7 „ = 5 „ — 1 „ = O „ 7 „ =
= = = = = = = = = =
172 E. = 345 428 785 368 904 593 625 246 758
Addition.
7.
8.
100 4-7 = 3004-4 = 600 4-5 = 200 4-9 = 1004-8 = 700 4- 1 = 400 4-3 = 800 4- 2 =
500 4-86 = 900 4-97 = 100 4-17 = 200 4-34 = 300 4- 72 = 400 4-98 = 500 4-25 = 600 4-31 =
9.
10.
11.
7004- 5 = 400+ 8 = 8004-82 = 600 + 43 = 9004- 3 = 200+ 7 = 500 + 64 = 800 + 24 = 100+ 5 = 300+ 6 = 300 + 36 = 700 + 89 = 500+ 3 = 700+ 7 = 900 + 62 = 400 + 43 = Subtraktion.
900+ 5 = 300 + 18 = 600+ 9 = 100 + 76 = 500+ 8 = 200 + 61 = 800+ 4 = 300 + 22 =
12.
13.
14.
18.
105 — 5 = 203 — 3 = 807 — 7 = 402 — 2 = 506 — 6 = 704 — 4 = 301 — 1 = 608 — 8 =
929 — 29 = 594 — 94 = 117 — 17 = 258 — 58 = 364 — 64 = 228 — 28 = 478 — 78 = 883 — 83 =
506— 6 = 772 — 72 = 104— 4 = 313 — 13 = 308— 8 = 425 — 25 = 709— 9 = 664 — 64 =
207— 7 = 938 — 38 = 503— 3 = 818 — 18 = 304 — 4 = 653 — 53 = 706— 6 = 989 — 89 =
Aufgaben für das mündliche Rechnen.
4. Stufe. Addition.
1.
2.
107 4-3 = 2364-4 = 2414-9 = 372 4-8 = 506 4-4 = 7634-7 = 8844-6 = 257 4-3 = 9644-6 = 125 4-5 =
1204-5 = 1704-8 = 4604-2 = 530 4-6 = 9504-7 = 2704-2 = 1104-4 = 3204-7 = 6804-5 = 1504-6 =
3.
4.
1144-5 = 2564-3 = 4714-8 = 3114-7 = 7284-1 = 9744-3 = 8314-6 = 5234-5 = 6224-7 = 3164-3 =
103 4-60 305 4-20 7044-40 507 4-50 906 4-30 2014-20 408 4-40 6024-70 805 4-60 302 + 30
Beispiel: Aufgabe: 447 4-8 — ?
folglich: 447 + 8
=455
8.
6.
7.
8.
1194-6 = 107 4-4 = 2364-8 = 2064-5 = 157 4-7 = 3094-6 = 3784-8 = 4024-9 = 566 + 6 = 708 + 7 =
917 + 4 = 805 + 6 = 485 + 8 = 907 + 5 = 224 + 7 = 306 + 6 = 457 + 8 = 509 + 4 = 643 + 9 = 407 + 6 =
358 + 6 = 534 + 8 = 256 + 7 = 167 + 9 = 649 + 4 = 475 + 6 = 717 + 8 = 328 + 5 = 844 + 9 = 618 + 6 =
115 + 8 = 348 + 7 = 585 + 9 = 736 + 5 = 988 + 4 = 227 + 8 = 469 + 3 = 818 + 6 = 536 + 8 = 327 + 9 =
Subtraktion.
9.
10.
11.
12.
109 — 5 = 208 — 3 = 306 — 4 = 509 — 7 = 403 — 2 = 705 — 3 = 907 — 4 = 806 — 5 = 608 — 7 = 309 — 6 =
123 — 3 = 247—7 = 325 — 5 = 839 — 9 = 426 — 6 = 917 — 7 = 239 — 9 = 164 — 4 = 718 — 8 = 512 — 2 =
650 — 3 = 740 — 6 = 210 — 5 = 170 — 4 = 440 — 7 = 390 — 9 = 520 — 1 = 230 — 7 = 750 — 2 = 930 — 4 =
160 — 5 = 190 — 7 = 240 — 3 = 320 — 9 = 480 — 4 = 570 — 2 = 760 — 8 = 930 — 7 = 270 - 4 = 890 — 6 =
13. 330-5 180 — 9 450 — 7 980 — 3 230 — 8 740 — 2 520 — 6 870 — 9 630 — 5 150 — 7
Beispiel: 156 — 8 = ? 156 — 6 = 150 150 — 2 = 148 156 — 8 = 148
1.
118 — 7 = 123 — 2 = 268 — 5 = 349 — 6 = 577 — 2 = 936 — 5 = 774 — 3 = 216 — 4 = 499 — 7 = 376 — 5 =
3.
2.
257 — 8 = 132 — 9 = 548 — 9 = 246 — 8 = 375 — 6 = 173 — 7 = 836 — 7 = 485 — 6 = 455 — 8 = 863 — 5 = 798-9 = 541 — 9 = 327 — 8 = 285 — 7 = 682 — 4 = 777 — 8 = 164 — 5 = 351 — 4 = 736 — 8 = 634 — 9 =
4.
3.
325 — 6 = 871 — 7 = 643 — 6 = 262 — 3 = 535 — 7 = 196 — 8 = 742 — 5 = 384 — 7 = 626 — 8 = 471 — 4 =
221 — 4 = 543 — 8 = 667 — 9 = 715 — 6 = 135 — 7 = 413 — 8 = 854 — 5 = 612 — 7 = 322 — 9 = 753 — 4 =
5. Stufe. Addition. Beispiel: 240 + 39*) = ? 240 + 30 = 270 270+ 9 = 279 240 + 39 = 279
6.
7.
8.
9.
160 + 23 = 250 + 34 = 520+51 = 410+17 = 270 + 28 = 310 + 32 = 740 + 27 = 820 + 46 = 630 + 62 = 540 + 38 =
130 + 54 = 420 + 38 = 370 + 15 = 720 + 23 = 260 + 18 = 910 + 66 = 440 + 37 = 320 + 75 = 150 + 42 = 530+12 =
170 + 22 = 610 + 35 = 450 + 18 = 760 + 29 = 580+12 = 620 + 47 = 180 + 11 = 360 + 24 = 920 + 48 = 770+16 =
560 + 23 = 750 + 19 = 640 + 31 = 430 + 58 = 510 + 73 = 930 + 25 = 840 + 47 = 660 + 13 = 570 + 24 = 110 + 83 =
10. 121 + 40 = 236 + 60 = 318 + 30 = 456 + 20 = 841 + 50 =
11. 627 + 50 = 543 + 40 = 728 + 60 = 915 + 40 = 229 + 30 =
12. 134 + 40 = 315 4-20 = 862 + 30 = 455 + 40 = 261 + 10=
13. 924 + 60 — 253 + 20 = 734 + 40 = 111 + 70 = 249 + 30 =
*) Diejenige Zahl, welche Zehner und Einer enthält, wird in eine reine Zehner- und Einerzahl zerlegt.
Subtraktion. Beispiel: 458 — 40 = ? 450 — 40 = 410 410+ 8=418 458 — 40 = 418
161 — 40 = 152 — 10 = 258 — 30 = 732 — 20 = 468 — 60 = 235 — 20 = 376 — 50 = 489 — 60 = 964 — 30 = 227 — 20 =
2.
3.
4.
239--20 = 875--40 = 139--30 = 355--20 = 248--30 = 995--70 = 436--20 = 572--50 = 791--60 = 185--40 =
496--40 = 573--60 = 861--20 = 256--30 = 784--50 = 567--40 = 188--70 = 296-- 60 = 372--40 = 888--50 =
479 - 50 = 853 — 40 = 764 — 20 = 297 — 80 = 165 — 30 = 657 — 20 = 592 — 70 = 366 — 40 = 855 — 30 = 741 — 10 =
H. Stufe. Addition. Beispiel: 236 + 43 = ?*) 236 + 40 = 276 276+ 3 = 279 236 + 43 = 279
5. 112 + 16 = 251 + 23 = 176 + 12 = 342 + 36 = 415 + 74 = 736 + 21 = 263 + 15 = 821 + 68 = 145 + 14 = 532 + 42 =
6.
7.
235 + 44 = 431 + 62 = 921 + 36 = 142 + 35 = 375 + 22 = 631 + 28 = 224 + 53 = 255 + 33 = 723 + 46 = 178 + 11 = 964 + 12 = 536 + 43 = 748 + 31 = 246 + 23 = 147 + 32 = 216 + 52 = 331 + 27 = 832 + 15 = 465 + 14 = 324 + 25 = Subtraktion. Beispiel: 275 — 32 = ? 275 — 30 = 245 245— 2 = 243 275 — 32 = 243
8.
951 + 27 — 824 + 43 311 + 66 — 522 +17 = 638 + 41 — 876 + 23 = 442 + 34 — 517 + 81 = 241 + 35 — 777 +12 —
1.
2. .
3.
4.
136 — 12 = 159 — 32 = 267 — 23 = 249 — 16 = 376 — 42 = 485 — 53 = 297 — 26 = 938 —14 = 744 — 23 = 359 — 34 =
559 — 27 = 264 — 31 = 178 — 47 = 349 — 13 = 436 — 24 = 994 — 51 = 653 — 32 = 266 — 14 = 837 — 25 = 647 — 31 =
164 - 32 = 279 — 58 = 864 — 23 = 789 — 46 = 246 — 12 = 187 — 35 = 655 — 41 = 539 — 18 = 287 — 44 = 793 — 61 =
396 — 54 = 582 — 31 = 479 — 68 = 348 — 21 = 259 — 35 = 798 — 54 = 647 — 13 = 339 — 24 = 158 — 27 = 296 — 55 =
7. Stufe. Addition. Beispiel: 252 + 38 = ? 252 + 30 = 282 282+ 8 = 290 252 + 38 = 290
8.
6.
7.
8.
143 + 27 = 225 + 35 = 172 + 18 = 251 + 29 = 315 + 15 = 469 + 21 = 714 + 56 = 332 + 28 = 623 + 57 = 541 + 29 =
236 + 54 = 168 + 22 = 574+16 = 836 + 24 = 249 + 31 = 711 + 49 = 924 + 36 = 812+18 = 633 + 37 = 419 + 41 =
159 + 11 = 341 + 39 = 667 + 13 = 923 + 47 = 555 + 35 = 217 + 13 = 166 + 24 = 452 + 18 = 731 + 59 = 546 + 24 =
219 + 11 = 326 + 54 = 438 + 42 = 751+19 = 92o —H 65 = 247 + 23 = 144 + 16 = 526 + 34 = 833 + 47 = 269 + 21 =
Subtraktion. Beispiel: 390 — 57 = ? 390 — 50 = 340 340— 7 = 333 390 — 57 = 333
9. 170 — 32 = 140—18 = 190 — 55 = 180 — 49 = 150 — 36 =
10. 130 — 16 = 160 — 29 = 170 — 48 = 190 — 54 = 150 — 19 =
11. 250 — 12 = 370 -45 = 450 — 28 = 890 — 33 = 760—17 =
12. 530 — 13 = 790 — 44 = 270 — 25 = 630—15 = 870 — 39 =
1. 470—54 = 290 — 32 = 880 — 47 = 360 — 39 = 750—16 =
2. 570 — 24 = 990 — 67 = 340 — 21 = 780 — 58 = 350 — 41 =
3.
4.
490 — 47 = 260 — 18 = 970 — 56 = 850 —14 = 360 — 25 =
770 — 39 = 590 — 51 = 840 — 19 = 280 — 62 = 190 — 33 =
8. Stufe. Addition. Beispiel: 237 + 49 = ? 237 + 40 = 277 277+ 9 = 286 237 + 49 = 286
5.
6.
7.
135 + 18 = 127 + 34 = 154 + 29 = 165 + 28 = 137 + 29 = 113 + 18 = 146 + 26 = 139 + 15 = 158 + 34 = 119 + 46 =
224 + 49 = 318 + 35 = 456 + 17 = 738 + 34 = 529 + 63 = 664 + 27 = 842 + 39 = 953 + 28 = 256 + 18 = 628 + 34 =
8.
267 + 14 = 918 + 59 = 335 + 27 = 678 + 16 = 149 + 33 = 238 + 25 = 756 + 19 = 349 +12 = 527 + 38 = 759 + 25 =
317 + 54 = 436 + 28 = 248 + 35 = 965 + 28 = 736 + 19 = 359 + 24 = 864 + 17 = 259 + 33 = 346 + 18 = 635 + 46 =
Subtraktion. Beispiel: 294 — 57 = ? 294 — 50 = 244 244— 7 = 237 294 — 57 = 237
9.
10.
11.
153 — 17 = 146 — 29 = 173 — 46 = 135 — 18 = 192 — 58 = 164 — 37 = 171 — 13 = 195 — 69 = 182 — 37 = 155 — 28 =
12.
263 — 34 = 427 — 19 = 875 — 47 = 363 — 25 = 784-58 = 992 — 63 = 543 — 16 = 284 — 28 = 848—19 = 731 — 25 =
371 — 46 = 645 — 27 = 932 — 15 = 196 — 78 = 253 — 26 = 563 — 35 = 897 — 58 = 282 — 47 = 771 — 63 = 458 — 19 =
472 — 45 = 963 — 26 = 358 — 39 = 281 — 12 = 463 — 57 = 557 — 38 = 763 — 16 = 975 — 48 = 293 — 76 = 491 — 65 =
S. Stufe. Addition.
Subtraktion.
1.
2.
3.
196 + 4 = 195 + 5 = 199 +1 = 191 + 9 = 294 + 6 = 392 + 8 = 498 + 2 = 593 + 7 = 697 + 3 = 792 + 8 =
894 + 6 = 991 + 9 = 397 + 3 = 194 + 6 = 692 + 8 = 895 + 5 = 399 +1 = 596 + 4 = 993 + 7 = 497 + 3 =
100 — 1 = 200 — 2 = 400 — 5 = 300 — 3 = 600 — 6 = 900 — 8 = 500 — 4 = 700—7 = 800 — 9 = 1000—1 =
4. 600 — 9 400 — 7 900 — 2 200 — 5 100-3 300 — 8 700 — 1 500 — 6 800 — 7 1000 — 4
10. Stufe. Addition.
S.
6.
7.
8.
100 + 130 = 170 + 100 = 200 + 240 = 150 + 300 = 600 + 310 = 190 + 800 = 400 + 420 = 160 + 700 = 500+370 = 780 + 200 =
700 + 180 = 670 + 300 = 800 + 110 = 360 + 400 = 200 + 530 = 120 + 800 = 500 + 290 = 580 + 300 = 600 + 230 = 840 + 100 =
100 + 340 = 540 + 400 = 200 + 460 = 270 + 700 = 300 + 450 = 190 + 500 = 600 + 280 = 130 + 800 = 200 + 690 = 230 + 300 =
300 + 270 = 460 + 500 = 200 + 630 = 650 + 300 = 700 + 170 = 380 + 400 = 500 + 260 = 240 + 700 = 600 + 150 = 130 + 200 =
Subtraktion.
9.
10.
11.
12.
280—100 = 340 — 200 = 140 — 100 = 470 — 300 = 850 — 500 = 630 — 400 = 990 — 700 = 560 — 200 = 720 — 600 = 390—100 =
730--400 = 180--100 = 950--600 = 490--200 = 360--200 = 930--500 = 770--300 = 540--100 = 270--200 = 680--300 =
870--500 = 930--200 = 460--300 = 290--100 = 740--500 = 370--200 = 950--400 = 640--300 = 380--100 = 960--500 =
590 — 300 = 430—100 = 970 — 400 = 760 — 500 = 840 — 200 = 170—100 = 630 — 500 = 980 — 700 = 790 — 400 = 350 — 200 =
11. Stufe. 100+109 = 300 + 402 = 600 + 203 = 200 + 508 = 800 + 101 = 400 + 307 = 700 + 204 = 500 + 406 = 300 + 605 = 800 +108 =
Addition. 2. 100 + 236 = 345 + 200 = 400 +173 = 218 + 700 = 300 + 681 = 327 + 500 = 800+162 = 243 + 600 = 400 + 317 = 799 + 200 =
3 307 + 300 = 500 + 281 = 406 + 200 = 700 + 153 = 406 + 400 = 600 + 193 = 309 + 200 = 800 H- 155 = 204 + 500 = 400 + 426 =
4. 206 — 100 = 305 — 200 = 801 — 600 = 409 — 300 = 703 — 200 = 507 — 100 = 909 — 700 = 602 — 200 = 308 — 100 = 804 — 500 =
Subtraktion. 8. 256 — 100 = 532 — 300 = 341 — 200 = 767 — 400 = 973 — 700 = 419 - 200 = 625 — 100 = 844 — 500 = 599 — 300 = 738 — 600 =
6. 309 - 200 = 473 — 300 = 208 — 100 = 935 — 600 = 607 — 400 = 847 — 300 = 706 — 500 = 528 — 400 = 406 — 200 = 398 — 100 =
Aufgaben für das schriftliche Rechnen.
I.
Addition.
1. Stufe. 7)
2 7 9 3 6 4 8 4 1 5
8)5 7 3 8 2 6 9 4 3 1
9)9 10)5 11)7 12)9 13)5 14)9 2 5 4 6 9 9 1 9 4 3 2 9 7 3 6 1 3 3 2 5 2 2 8 9 7 7 1 8 5 5 1 6 9 8 2 6 7 4 6 9 4 5 4 4 9 8 8 8 1 6 2 4 3 3
iLWWWWWWCöWW o