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German Pages 36 [60] Year 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.
Sechste Auflage.
Berlin, 1904. Druck und Verlag von Georg Reimer.
Der Zahlenkreis von 1 vis 1000. Aufgaben für das mündliche Rechnen.
1. Stufe. 100, 300, 300, 400, 500, 600, 900, 1000.
700, 800,
10 Zehner — 1 Hunderter = 100 — 9 20 = 200 ", = 3 n 30 = 300 40 = 400 „ = 4 M 50 = 500 „ - 5 ff 60 = 600 „ = 6 tf 70 = 700 „ = 7 n 80 = 800 „ = 8 ff 90 = 900 „ - 9 100 = 1 Tausender = 1000. „ =w tf
Addition. Beispiel: | 11 0 [ 0 [ —1— | 11 0 I 0 1 = | I 2 I 0 I 0 | 8 j 0 10 | -f— | 2 | 0 j 0 | = | 11 0 | 0 | 0 ljO|OIO| — [5|0|0| = | j 5 | 0 j 0
1.
2.
100 4- 100 == ? 300 + 600 =- tf 500 + 400 =100 + 600 == n 400 + 300 =800 + 200 == n 100 + 300 == n 600 +100 =200 + 500 =- n 700 + 300 =~ n
300 +100 = 400 + 600 = 200 + 800 = 100 + 500 = 700 + 200 = 300 + 400 = 500 + 100 = 200 + 700 = 600 + 300 = 900 + 100 =
3. 100 + 200 = 300 + 700 = 500 + 300 = 400 + 500 = 200 +100 = 300 + 300 = 100 + 900 = 200 + 300 = 400 + 100 = 500 + 500 =
L. 600 + 400 = 100 + 800 = 700 +100 = 600 + 200 = 300 + 500 = 200 + 200 = 400 + 400 = 100 + 700 = 200 + 400 = 500 + 200 =
Subtraktion. 2. 3. 900 — 100 = 300 — 100 = 900 — 200 800 — 400 = 600 — 200 = 1000 — 500 1000 — 700 = 800 — 500 = 600 — 300 900 — 500 = 1000 — 600 = 500 — 100 500 — 200 = 700 — 300 = 800 — 600 800 — 100 = 400 — 100 = 400 — 200 700 — 400 = 900 — 400 = 600— 100 1000 — 300 = 1000 — 100 = 1000 — 800 200 — 100 = 600 — 500 = 700 — 500 900 — 600 = 800 — 200 = 900 — 300 «. S1tllfie. 100 200 300 400 500 600 700 800 110 210 310 410 510 610 710 810 120 220 320 420 520 620 720 820 130 230 330 430 530 630 730 830 140 240 340 440 540 640 740 840 150 250 350 450 550 650 750 850 160 260 360 460 560 660 760 860 170 270 370 470 570 670 770 870 180 280 380 480 580 680 780 880 190 290 390 490 590 690 790 890 Beispiel: 16 Zehner = 160 Einer.
1.
8. 11 Zehner = 21 „ = 31 „ = 41 „ = 51 „ = 61 „ = 71 „ = 81 „ = 91 „ = Beispiel:
6.
500 — 400 = 700 — 100 = 400 — 300 = 1000 — 200 = 500 — 300 = 800 — 700 = 1000 — 400 = 700 — 600 = 900 — 700 = 1000 — 900 = 900 910 920 930 940 950 960 970 980 990
7.
15 Zehner = 17 Zehner = 23 „ = 86 „ = 37 „ = 34 „ = 48 „ = 58 „ = 52 „ = 79 „ = 22 „ = 66 „ = 75 „ = 43 „ = 82 „ = 18 „ = 98 „ = 64 „ = 110 Einer = 11 Zehner.
8.
9.
10.
110 Einer = 120 „ = 130 „ = 140 „ = 150 „ = 160 „ = 170 „ = 180 „ = 190 „ =
450 Einer = 230 „ = 350 „ = 470 „ = 510 „ = 670 „ = 730 „ = 890 „ = 940 „ =
370 Einer = 280 „ = 910 „ = 420 „ = 380 „ = 770 „ = 560 „ = 240 „ = 680 „ =
1000
Subtraktion. 2. 3. 900 — 100 = 300 — 100 = 900 — 200 800 — 400 = 600 — 200 = 1000 — 500 1000 — 700 = 800 — 500 = 600 — 300 900 — 500 = 1000 — 600 = 500 — 100 500 — 200 = 700 — 300 = 800 — 600 800 — 100 = 400 — 100 = 400 — 200 700 — 400 = 900 — 400 = 600— 100 1000 — 300 = 1000 — 100 = 1000 — 800 200 — 100 = 600 — 500 = 700 — 500 900 — 600 = 800 — 200 = 900 — 300 «. S1tllfie. 100 200 300 400 500 600 700 800 110 210 310 410 510 610 710 810 120 220 320 420 520 620 720 820 130 230 330 430 530 630 730 830 140 240 340 440 540 640 740 840 150 250 350 450 550 650 750 850 160 260 360 460 560 660 760 860 170 270 370 470 570 670 770 870 180 280 380 480 580 680 780 880 190 290 390 490 590 690 790 890 Beispiel: 16 Zehner = 160 Einer.
1.
8. 11 Zehner = 21 „ = 31 „ = 41 „ = 51 „ = 61 „ = 71 „ = 81 „ = 91 „ = Beispiel:
6.
500 — 400 = 700 — 100 = 400 — 300 = 1000 — 200 = 500 — 300 = 800 — 700 = 1000 — 400 = 700 — 600 = 900 — 700 = 1000 — 900 = 900 910 920 930 940 950 960 970 980 990
7.
15 Zehner = 17 Zehner = 23 „ = 86 „ = 37 „ = 34 „ = 48 „ = 58 „ = 52 „ = 79 „ = 22 „ = 66 „ = 75 „ = 43 „ = 82 „ = 18 „ = 98 „ = 64 „ = 110 Einer = 11 Zehner.
8.
9.
10.
110 Einer = 120 „ = 130 „ = 140 „ = 150 „ = 160 „ = 170 „ = 180 „ = 190 „ =
450 Einer = 230 „ = 350 „ = 470 „ = 510 „ = 670 „ = 730 „ = 890 „ = 940 „ =
370 Einer = 280 „ = 910 „ = 420 „ = 380 „ = 770 „ = 560 „ = 240 „ = 680 „ =
1000
Addition. 3. 400 + 60 = 130 + 10 = 200 + 70 = 140 + 10 = 110+10 = 150 + 10 = 110 + 20 = 160 + 10 = 110 + 30 = 210 + 20= 110 + 40 = 320 + 30 = 110 + 50 = 430 + 40 = 120+10 = 540 + 50 = Subtraktion.
4.
8
650 + 40 = 760 + 20 = 870+10 = 940 + 30 = 620 + 60 = 450 + 40 = 370 + 20 = 580 + 10 =
230 + 60 = 440 + 50 = 950 + 20 = 810 + 70 = 560 + 20 = 780 + 10 = 360 + 30 = 510 + 50 =
2.
100 + 10 = 200 + 20 = 300 + 40 = 400 + 50 = 500 + 60 = 600 + 70 = 700 + 80 = 800 + 90 =
6.
7.
8.
9.
10.
110--10 = 120--20 = 230--30 = 350--50 = 460--60 = 570--70 = 630--30 = 920--20 =
780--80 = 440--40 = 120-- 10 = 130--10 = 140--10 = 150--10 = 160--10 = 130--20 =
140--20 = 150--20 = 160--20 = 170--20 = 250--30 = 370--40 = 490--50 = 540--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 0" 1 ff ff ff 1 0 2 „ =102 ff ff ff 1 0 3 .. = 103 ff ff ff 0 4 „ =104 ff 1 ff ff 1 0 5 „ = 105 ff ff ff 0 1 6 „ =106 ff ff ff 7 ,, =107 ff 0 1 ff ff 0 8 „ =108 ff 1 ff ff 1 0 9 ,, = 109 ff ff ff 1 1 0 ,, =iio ff ff Beispiel: 1 H. 1 Z. 1 (S. = 111 E.
11.
12.
1 H. 1 Z. 1 E. = 1 ff 1 ff 6 ff 1 ff 1 ff 9 ff 1 ff 2 ff 0 ff 1 ff 2 ff 5 ff 1 ff 2 ff 8 ff 1 ff 3 ff 5 ff 1 ff 4 ff 7 ff 1 ff 5 ff 4 ff 1 ff 6 ff 2 ff
2 H- 0 Z. 0E.= 2 II 0 ff 7 ff 2 II 4 ff 8 ff 2 II 7 ff 5 ff 3 II 5 ff 1 9 II 2 ff 0 ff 4 II 0 ff 8 ff 6 II 8 ff 3 ff 7 II 4 ff 2 ff 4 II 3 ff 7 ff
ff ff ff
ff ff ff ff
ff
ff
8 0 6 8 3 7 0 4 6
ff ff
ff ff
ff ff ff
ff ff
5 7 2 0 4 6 9 5 3
ff ff
ff ff
ff
ff ff ff ff
Addition. 3. 400 + 60 = 130 + 10 = 200 + 70 = 140 + 10 = 110+10 = 150 + 10 = 110 + 20 = 160 + 10 = 110 + 30 = 210 + 20= 110 + 40 = 320 + 30 = 110 + 50 = 430 + 40 = 120+10 = 540 + 50 = Subtraktion.
4.
8
650 + 40 = 760 + 20 = 870+10 = 940 + 30 = 620 + 60 = 450 + 40 = 370 + 20 = 580 + 10 =
230 + 60 = 440 + 50 = 950 + 20 = 810 + 70 = 560 + 20 = 780 + 10 = 360 + 30 = 510 + 50 =
2.
100 + 10 = 200 + 20 = 300 + 40 = 400 + 50 = 500 + 60 = 600 + 70 = 700 + 80 = 800 + 90 =
6.
7.
8.
9.
10.
110--10 = 120--20 = 230--30 = 350--50 = 460--60 = 570--70 = 630--30 = 920--20 =
780--80 = 440--40 = 120-- 10 = 130--10 = 140--10 = 150--10 = 160--10 = 130--20 =
140--20 = 150--20 = 160--20 = 170--20 = 250--30 = 370--40 = 490--50 = 540--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 0" 1 ff ff ff 1 0 2 „ =102 ff ff ff 1 0 3 .. = 103 ff ff ff 0 4 „ =104 ff 1 ff ff 1 0 5 „ = 105 ff ff ff 0 1 6 „ =106 ff ff ff 7 ,, =107 ff 0 1 ff ff 0 8 „ =108 ff 1 ff ff 1 0 9 ,, = 109 ff ff ff 1 1 0 ,, =iio ff ff Beispiel: 1 H. 1 Z. 1 (S. = 111 E.
11.
12.
1 H. 1 Z. 1 E. = 1 ff 1 ff 6 ff 1 ff 1 ff 9 ff 1 ff 2 ff 0 ff 1 ff 2 ff 5 ff 1 ff 2 ff 8 ff 1 ff 3 ff 5 ff 1 ff 4 ff 7 ff 1 ff 5 ff 4 ff 1 ff 6 ff 2 ff
2 H- 0 Z. 0E.= 2 II 0 ff 7 ff 2 II 4 ff 8 ff 2 II 7 ff 5 ff 3 II 5 ff 1 9 II 2 ff 0 ff 4 II 0 ff 8 ff 6 II 8 ff 3 ff 7 II 4 ff 2 ff 4 II 3 ff 7 ff
ff ff ff
ff ff ff ff
ff
ff
8 0 6 8 3 7 0 4 6
ff ff
ff ff
ff ff ff
ff ff
5 7 2 0 4 6 9 5 3
ff ff
ff ff
ff
ff ff ff ff
Beispiel: 101 E. ---1 H. 0 Z. 1. E.
1.
2.
3.
101 E. = 213 E. = 573 E. = 105 ii 325 226 ii 109 ii 376 ii 743 ii 115 ii 452 ii 657 ii 127 ii 496 ii 318 ii 135 ii 508 ii 864 ii 580 ii 148 ii 239 ii 172 ii 592 ii 475 ii 695 ii 712 ii 188 ii 195 ii 758 ii 363 Beispiel: 10 Z. 1 E. = 101 E. Beispiel: 101 E. = 10 Z. 1 E.
4. 10 Z. 10 „ 10 „ 11 „ 15 „ 20 „ 35 „ 72 „ 81 „ 96 „
5.
1 E. 9 „ 4 „ 6 „ 2 „ 7 „ 5 „ 1 „ 0 „ 7 „
= = = = = = = = = =
101 E. 104 „ 158 „ 226 „ 275 „ 308 „ 480 „ 532 „ 678 „ 713 „
6. = = = = = = = = = =
172 345 428 785 368 904 593 625 246 758
E. = „ = „ = „ = „ = „ = „ = „ = „ = „ =
Addition.
10.
9.
7.
8.
100 4- 7 = 300 4- 4 = 600 4- 5 = 200 4- 9 = 100 4- 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 =
11.
700+ 5 = 400+ 8 = 800 + 82 = 600 + 43 = 900 + 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.
IS.
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 =
ck. Stufe. Addition.
1.
2.
107 + 3 = 236 —i— 4 241 + 9 = 372 + 8 = 506 + 4 = 763 + 7 = 884 + 6 = 257 + 3 = 964 + 6 = 125 + 5 =
120 + 5 = 170 + 8 = 460 + 2 = 530 + 6 = 950 + 7 = 270 + 2 = 110 + 4 = 320 + 7 = 680 + 5 = 150 + 6 =
3.
114 + 5 — 256 + 3 471 + 8 — 311 + 7 — 728 + 1 — 974 + 3 = 831 + 6 — 523 + 5 = 622 + 7 — 316 + 3 —
4. 103 + 60 = 305 + 20 = 704 + 40 = 507 + 50 = 906 + 30 = 201 + 20 = 408 + 40 = 602 + 70 = 805 + 60 = 302 + 30 =
Beispiel: Aufgabe: 447 + 8 —? ßs(,IM. s447 + 3*) = 450 ßofung. |450 + 5 ? = 455 folglich: 447 -1-8
=455
S.
6.
7.
8.
119 + 6 = 107 + 4 = 236 + 8 = 206 + 5 = 157 + 7 = 309 + 6 = 378 + 8 = 402 + 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.
13.
109 — 5 = 208 — 3 = 306 — 4 = 509 — 7 = 403 — 2 = 705 — 3 = 907 — 4 = 806 — 5 = 608 — 7 = 309 — 6 =
I 123 — 3 = 247 — 7 = 325 — 5 = 839 — 9 = 426 — 6 = 917 — 7 = 239 — 9 = 164 — 4 = 718 — 8 = 512 — 2 =
668 — 8 = 753 — 3 = 213 — 3 = 155 — 5 = 449 — 9 = 398 — 8 = 546 — 6 = 233 — 3 = 751 — 1 = 938 — 8 =
160 — 5 = 190 — 7 = 240 — 3 = 320 — 9 = 480 — 4 = 570 — 2 = 760 — 8 = 930 — 7 = 270 — 4 = 890 — 6 =
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.
2.
3.
4.
8.
118 — 7 = 123 — 2 = 268 — 5 = 349 — 6 = 577 — 2 = 936 — 5 = 774 — 3 = 216 — 4 = 499 — 7 = 376 — 5 =
257 — 2 = 548 — 6 = 379 — 4 = 836 — 5 = 455 — 3 = 798 — 7 = 327 — 4 = 686 — 2 = 164 — 3 = 739 — 8 =
132 — 9 = 246 — 8 = 173 — 7 = 485 — 6 = 863 — 5 = 541 — 9 = 285 — 7 — 777 — 8 = 351 — 4 = 634 — 9 =
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.
160 4- 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 =
10.
11.
121 +40 = 236 + 60 = 318 + 30 = 456 + 20 = 841 + 50 =
627 + 50= 543 + 40 = 728 + 60 = 915 + 40 = 229 + 30 =
8.
9.
I ! I ! I
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 = HO + 83 =
12.
13.
!
134 + 40 = 315 + 20 = 862 + 30 = 455 + 40 = 261 + 10 =
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.
Beispiel: 156 — 8 = ? 156 — 6 = 150 150 — 2 = 148 156 — 8 = 148
1.
2.
3.
4.
8.
118 — 7 = 123 — 2 = 268 — 5 = 349 — 6 = 577 — 2 = 936 — 5 = 774 — 3 = 216 — 4 = 499 — 7 = 376 — 5 =
257 — 2 = 548 — 6 = 379 — 4 = 836 — 5 = 455 — 3 = 798 — 7 = 327 — 4 = 686 — 2 = 164 — 3 = 739 — 8 =
132 — 9 = 246 — 8 = 173 — 7 = 485 — 6 = 863 — 5 = 541 — 9 = 285 — 7 — 777 — 8 = 351 — 4 = 634 — 9 =
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.
160 4- 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 =
10.
11.
121 +40 = 236 + 60 = 318 + 30 = 456 + 20 = 841 + 50 =
627 + 50= 543 + 40 = 728 + 60 = 915 + 40 = 229 + 30 =
8.
9.
I ! I ! I
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 = HO + 83 =
12.
13.
!
134 + 40 = 315 + 20 = 862 + 30 = 455 + 40 = 261 + 10 =
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.
161 — 40 = 152 — 10 = 258 — 30 = 732 — 20 = 468 — 60 = 235 — 20 = 376 — 50 = 489 — 60 = 964—30 = 227 — 20 =
Subtraktion. Beispiel: 458 — 40 = ? 450 — 40 = 410 410+ 8 = 418 458 — 40 = 418 2. 3. 239--20 = 496--40 = 875--40 = 573--60 = 139--30 = 861--20 = 355--20 = 256--30 = 248--30 = 784--50 = 995--70 = 567--40 = 436--20 = 188--70 = 572--50 = 296--60 = 791 --60 = 372--40 = 185--40 = 888--50 =
4. 479-50 = 853 — 40 = 764 — 20 = 297 —80 = 165 — 30 = 657 —20 = 592 — 70 = 366 — 40 = 855 — 30 = 741 — 10 =
6. ©tu f e.
8. 112 + 16 = 251 + 23 = 176 +12 = 342 + 36 = 415 + 74 = 736 + 21 = 263 + 15 = 821+68 = 145 + 14 = 532 + 42 =
Additiv«. Beispiel: 236 + 43 = ?*) 236 + 40 = 276 276+ 3 = 279 236 + 43 = 279 6. 7. 235 + 44 = 431 + 62 = 921 + 36 = 142 + 35 = 375 + 22 = 631 + 28 = 224 + 53 = 255 H“ 33 = 178 + 11 = 723 + 46 = 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 =
161 — 40 = 152 — 10 = 258 — 30 = 732 — 20 = 468 — 60 = 235 — 20 = 376 — 50 = 489 — 60 = 964—30 = 227 — 20 =
Subtraktion. Beispiel: 458 — 40 = ? 450 — 40 = 410 410+ 8 = 418 458 — 40 = 418 2. 3. 239--20 = 496--40 = 875--40 = 573--60 = 139--30 = 861--20 = 355--20 = 256--30 = 248--30 = 784--50 = 995--70 = 567--40 = 436--20 = 188--70 = 572--50 = 296--60 = 791 --60 = 372--40 = 185--40 = 888--50 =
4. 479-50 = 853 — 40 = 764 — 20 = 297 —80 = 165 — 30 = 657 —20 = 592 — 70 = 366 — 40 = 855 — 30 = 741 — 10 =
6. ©tu f e.
8. 112 + 16 = 251 + 23 = 176 +12 = 342 + 36 = 415 + 74 = 736 + 21 = 263 + 15 = 821+68 = 145 + 14 = 532 + 42 =
Additiv«. Beispiel: 236 + 43 = ?*) 236 + 40 = 276 276+ 3 = 279 236 + 43 = 279 6. 7. 235 + 44 = 431 + 62 = 921 + 36 = 142 + 35 = 375 + 22 = 631 + 28 = 224 + 53 = 255 H“ 33 = 178 + 11 = 723 + 46 = 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
8.
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 = 394- — 24 = 158 — 27 = 296 — 55 =
Stufe. Addition. Beispiel: 252 + 38 = ? 252+30 = 282 282+ 8 = 290 252 + 38 = 290
5.
6.
7.
8.
143 + 27 = 225 H— 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 = 925 + 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.
2
8.
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 = 394- — 24 = 158 — 27 = 296 — 55 =
Stufe. Addition. Beispiel: 252 + 38 = ? 252+30 = 282 282+ 8 = 290 252 + 38 = 290
5.
6.
7.
8.
143 + 27 = 225 H— 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 = 925 + 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.
2.
3.
4.
470--54 = 290--32 = 880--47 = 360--39 = 750--16 =
570--24 = 990--67 = 340--21 = 780--58 = 350--41 =
490--47 = 260--18 = 970--56 = 850-- 14 = 360--25 =
770 — 39 = 590 — 51 = 840 — 19 = 280 — 62 = 190 — 33 =
S. Stufe. Additiv«. Beispiel: 237 + 49 = ? 237 + 40 = 277 277+ 9 = 286 237 + 49 = 286
5.
6.
7.
8.
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 =
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. 153 —17 = 146 — 29 = 173 — 46 = 135 — 18 = 192 — 58 = 164 — 37 = 171 — 13 = 195 — 69 = 182 — 37 = 155 — 28 =
10 263 — 34 = 427 — 19 = 875 — 47 = 363 — 25 = 784 — 58 = 992 — 63 = 543 — 16 = 284 — 28 = 848 — 19 = 731 — 25 =
11.
12.
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 =
1.
2.
3.
4.
470--54 = 290--32 = 880--47 = 360--39 = 750--16 =
570--24 = 990--67 = 340--21 = 780--58 = 350--41 =
490--47 = 260--18 = 970--56 = 850-- 14 = 360--25 =
770 — 39 = 590 — 51 = 840 — 19 = 280 — 62 = 190 — 33 =
S. Stufe. Additiv«. Beispiel: 237 + 49 = ? 237 + 40 = 277 277+ 9 = 286 237 + 49 = 286
5.
6.
7.
8.
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 =
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. 153 —17 = 146 — 29 = 173 — 46 = 135 — 18 = 192 — 58 = 164 — 37 = 171 — 13 = 195 — 69 = 182 — 37 = 155 — 28 =
10 263 — 34 = 427 — 19 = 875 — 47 = 363 — 25 = 784 — 58 = 992 — 63 = 543 — 16 = 284 — 28 = 848 — 19 = 731 — 25 =
11.
12.
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 =
9. Stufe. Addition.
Subtramort.
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 =
IO. Stufe. Addition.
8.
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 =
9. Stufe. Addition.
Subtramort.
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 =
IO. Stufe. Addition.
8.
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. Addition. 2.
100+109 = 300 + 402 = 600 + 203 = 200 + 508 = 800 + 101 = 400 + 307 = 700 + 204 = 500 + 406 = 300 + 605 = 800 + 108 =
100 + 236 = 345 + 200 = 400+173 = 218 + 700 = 300 + 681 = 327 + 500 = 800+162 = 243 + 600 = 400 + 317 = 799 + 200 =
4.
Subtraktion. 3.
206 — 100 = 305 — 200 = 801 — 600 = 409 — 300 = 703 — 200 = 507 — 100 = 909 — 700 = 602 — 200 = 308 — 100 = 804 — 500 =
256 — 100= 532 — 300 = 341 — 200 = 767 — 400 = 973 — 700 = 419 — 200 = 625 — 100 = 844 — 500 = 599 — 300 = 738 — 600 =
3 307 + 300 = 500 + 281 = 406 + 200 = 700 + 153 = 406 + 400 = 600 + 193 = 309 + 200 = 800 +155 = 204 + 500 = 400 + 426 =
6. I
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 9 4 5 9 6 2 1 3 9 4 2 9 3 7 1 6 3 3 8 2 9 5 2 2 1 7 5 7 8 5 6 6 9 8 1 2 4 7 4 6 9 5 9 4 8 8 4 8 6 1 3 3 2 4
11. Stufe. Addition. 2.
100+109 = 300 + 402 = 600 + 203 = 200 + 508 = 800 + 101 = 400 + 307 = 700 + 204 = 500 + 406 = 300 + 605 = 800 + 108 =
100 + 236 = 345 + 200 = 400+173 = 218 + 700 = 300 + 681 = 327 + 500 = 800+162 = 243 + 600 = 400 + 317 = 799 + 200 =
4.
Subtraktion. 3.
206 — 100 = 305 — 200 = 801 — 600 = 409 — 300 = 703 — 200 = 507 — 100 = 909 — 700 = 602 — 200 = 308 — 100 = 804 — 500 =
256 — 100= 532 — 300 = 341 — 200 = 767 — 400 = 973 — 700 = 419 — 200 = 625 — 100 = 844 — 500 = 599 — 300 = 738 — 600 =
3 307 + 300 = 500 + 281 = 406 + 200 = 700 + 153 = 406 + 400 = 600 + 193 = 309 + 200 = 800 +155 = 204 + 500 = 400 + 426 =
6. I
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 9 4 5 9 6 2 1 3 9 4 2 9 3 7 1 6 3 3 8 2 9 5 2 2 1 7 5 7 8 5 6 6 9 8 1 2 4 7 4 6 9 5 9 4 8 8 4 8 6 1 3 3 2 4
12) 9 4- 4 + 5
18) 9 4- 5
20) 22
23
41
42
43
35 46 12 27 48 35 22 15 40 32
57 64 80 39 62 74 85 49 51 30
29 62 84 35 79 86 90 19 81 45
24
25
26
27
9. Stufe. 45 44 27 49 32 68 72 64 15 29 30 48
26 19 11 27 32 28 26 49 77 60
28
29
46
47
38 49 88 26 17 65 49 28 34 16
99 56 32 69 78 35 42 13 30 70
30
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