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German Pages 37 [54] Year 1911
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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 „ =200 20 „ --- 2 30 „ = 300 „ = 3 40 „ =400 „ = 4 „ =500 50 „ = 5 60 „ = 600 „ = 6 70 „ =700 „ = 7 80 „ =800 „ = 8 90 „ = 900 „ = 9 100 „ =1 Tausender = 1000 » =io
Addition. Beispiel: | 11 0 | 0 | —H 111 0 | Ö | = | I 2 I 0 I 0 |8|0|0| + |2|0|0| = |l|0|00 l|0|0|0| — |5|0|0| = | | 5 | 0 | 0
1.
2.
3.
4.
100 + 100 == ? 300 + 600 == M 500 + 400 =100 + 600 == 400 + 300 == 800 + 200 == 100 + 300 == n 600 +100 == n 200 + 500 =700 + 300 == N
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 =
Subtraktion a. 2. 3. 1. 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. 100 110 120 130 140 150 160 170 180 190
300 400 310 410 320 420 330 430 340 440 350 450 360 460 370 470 380 480 390 490 Beispiel: 3. 11 Zehner = — 21 ,, :-31 — 41 n ----51 n = 61 — 71 n 81 1t — — 91 Beispiel: 8. 110 Einer = 120 11 = 130 n = 140 n = 150 n = 160 tf = 170 ff — 180 11 — 190 1t == 200 210 220 230 240 250 260 270 280 290
500 600 700 800 900 1000 510 610 710 810 910 520 620 720 820 920 530 630 730 830 930 540 640 740 840 940 550 650 750 850 950 560 660 760 860 960 570 670 770 870 970 580 680 780 880 980 590 690 790 890 990 16 Zehner ---- 160 Einer. 7. 6. 17 Zehner = 15 Zehner = — 86 11 23 „ — 37 „ 34 — — 58 '' 48 n — — 52 n 79 n — — 22 „ 66 n — — 43 n 75 ff — — 18 82 n — ----64 98 110 Einer = 11 Zehner. 10. 9. 370 Einer = 450 Einer = 230 ff = 280 ff == 910 ff 350 n = = 420 ff 470 380 ff 510 ff == 770 ff 670 lf = 560 ff 730 11 = = 240 ff 890 680 11 940 11 == "
Subtraktion a. 2. 3. 1. 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. 100 110 120 130 140 150 160 170 180 190
300 400 310 410 320 420 330 430 340 440 350 450 360 460 370 470 380 480 390 490 Beispiel: 3. 11 Zehner = — 21 ,, :-31 — 41 n ----51 n = 61 — 71 n 81 1t — — 91 Beispiel: 8. 110 Einer = 120 11 = 130 n = 140 n = 150 n = 160 tf = 170 ff — 180 11 — 190 1t == 200 210 220 230 240 250 260 270 280 290
500 600 700 800 900 1000 510 610 710 810 910 520 620 720 820 920 530 630 730 830 930 540 640 740 840 940 550 650 750 850 950 560 660 760 860 960 570 670 770 870 970 580 680 780 880 980 590 690 790 890 990 16 Zehner ---- 160 Einer. 7. 6. 17 Zehner = 15 Zehner = — 86 11 23 „ — 37 „ 34 — — 58 '' 48 n — — 52 n 79 n — — 22 „ 66 n — — 43 n 75 ff — — 18 82 n — ----64 98 110 Einer = 11 Zehner. 10. 9. 370 Einer = 450 Einer = 230 ff = 280 ff == 910 ff 350 n = = 420 ff 470 380 ff 510 ff == 770 ff 670 lf = 560 ff 730 11 = = 240 ff 890 680 11 940 11 == "
2. 1004-10 = 200 4-20 = 3004-40 = 4004-50 = 5004-60 = 6004-70 = 7004-80= 8004-90 =
1104-10 = 1104-20= 1104-30 = 1104-40 = 1104-50= 1104-60= 1104-70 = 1104-80 =
Additiv«. 3. 1204-10= 1304-10 = 1404-10 = 1504-10 = 1604-10 = 1704-10 = 1804-10 = 1204-20 = Subtraktion.
6.
7.
8.
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 =
a.
S.
6504-40 = 7604-20= 8704-10 = 9404-30= 6204-60= 4504-40 = 3704-20= 5804-10 =
2304-60 = 4404-50= 9504-20= 8104-70 = 5604-20 = 7804-10 = 3604-30 = 5104-50 =
io.
s
790--80= 540--20= 880--60= 370--50 = 830--20= 960--50= 250--40= 770— 30=
780--50 = 860--20 = 990--70 = 470--50 = 760--10 = 580--40 = 970--30 = 280--50 =
3. Stufe. 1 Hunderter 0 Zehner 0 Einer = 100 Einer n 1 0 ,, 1 , =101 n 1 0 ,/ 2 „ = 102 1 0 „ 3 , =103 ,, 1 0 „ 4 , =104 n 1 0 „ 5 „ =105 n 1 0 , 6 „ =106 1 0 „ 7 , =107 1 0 „ 8 , =108 1 0 n 9 , =109 1 1 ,, o , =uo Beispiel : 1 H. 1 Z. 1 @. = 111 E.
11.
12.
18.
1H. 1Z. ie.= 1,1.6,= 1.1.9,= 1.2,0,= 1 . 2 , 5 „ — 1.2,8,= 1,3,5,= 1,4,7,= 1 , 5 , 4 , — 1 . 6 , 2 , =
2 H. 0 Z. 0 E. = 2,0,7,= 2,4,8,= 2,7,5, = 3,5, 1 , = 9,2,0,= 4.0,8,= 6 . 8 , 3 , — 7,4,2,= 4,3,7,=
1H. 5Z. 6E.= 3 /, 8 „ 5 „ — 7 , 0 „ 7 „ = 4 „ 6 „ 2 „ = 8 „ 8 „ 0 „ — 2 „ 3 „ 4 „ — 5 , 7 „ 6 , = 9,0,9,= 1 i! 4 , 5 , = 7 fr 6 „ 3 „ —
2. 1004-10 = 200 4-20 = 3004-40 = 4004-50 = 5004-60 = 6004-70 = 7004-80= 8004-90 =
1104-10 = 1104-20= 1104-30 = 1104-40 = 1104-50= 1104-60= 1104-70 = 1104-80 =
Additiv«. 3. 1204-10= 1304-10 = 1404-10 = 1504-10 = 1604-10 = 1704-10 = 1804-10 = 1204-20 = Subtraktion.
6.
7.
8.
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 =
a.
S.
6504-40 = 7604-20= 8704-10 = 9404-30= 6204-60= 4504-40 = 3704-20= 5804-10 =
2304-60 = 4404-50= 9504-20= 8104-70 = 5604-20 = 7804-10 = 3604-30 = 5104-50 =
io.
s
790--80= 540--20= 880--60= 370--50 = 830--20= 960--50= 250--40= 770— 30=
780--50 = 860--20 = 990--70 = 470--50 = 760--10 = 580--40 = 970--30 = 280--50 =
3. Stufe. 1 Hunderter 0 Zehner 0 Einer = 100 Einer n 1 0 ,, 1 , =101 n 1 0 ,/ 2 „ = 102 1 0 „ 3 , =103 ,, 1 0 „ 4 , =104 n 1 0 „ 5 „ =105 n 1 0 , 6 „ =106 1 0 „ 7 , =107 1 0 „ 8 , =108 1 0 n 9 , =109 1 1 ,, o , =uo Beispiel : 1 H. 1 Z. 1 @. = 111 E.
11.
12.
18.
1H. 1Z. ie.= 1,1.6,= 1.1.9,= 1.2,0,= 1 . 2 , 5 „ — 1.2,8,= 1,3,5,= 1,4,7,= 1 , 5 , 4 , — 1 . 6 , 2 , =
2 H. 0 Z. 0 E. = 2,0,7,= 2,4,8,= 2,7,5, = 3,5, 1 , = 9,2,0,= 4.0,8,= 6 . 8 , 3 , — 7,4,2,= 4,3,7,=
1H. 5Z. 6E.= 3 /, 8 „ 5 „ — 7 , 0 „ 7 „ = 4 „ 6 „ 2 „ = 8 „ 8 „ 0 „ — 2 „ 3 „ 4 „ — 5 , 7 „ 6 , = 9,0,9,= 1 i! 4 , 5 , = 7 fr 6 „ 3 „ —
Beispiel: 101 6. = 1 H. 0 Z. 1. 6. 1. 2. 3. 101 6. = 213 6. = 573 6. = 105 „ = 325 „ = 226 „ = 109 „ = 376 „ = 743 „ = 657 „ = 452 „ = 115 „ = 127 „ = 496 „ = 318 „ = 135 „ = 508 „ = 864 „ = 148 „ = 580 „ = 239 „ = 172 „ = 475 „ = 592 „ = 188 „ = 695 „ = 712 „ = 758 „ = 363 „ = 195 „ = Beispiel: 10 Z. 16. = 101 E. Beispiel: 101 E. = 10 Z. 1 E.
6.
5.
4. 10 3. 10 „ 10 „ 11 „ 15 „ 20 „ 35 „ 72 „ 81 „ 96 „
16.= 9 11 == 4 „ = 6 „ = 2 „ = 7 „ — 5 „ = 1 „ = 0 „ = 7 „ =
101 6. 104 „ 158 „ 226 „ 275 „ 308 „ 480 „ 532 „ 678 „ 713 „
= = = = = = = = = =
172 6. = 345 428 785 368 904 593 625 246 758
Addition.
9.
7.
8.
100 4-7 = 300 4- 4 = 6004-5 = 2004-9 = 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 =
10.
11.
7004- 5 = 400-t- 8 = 800 4-82 = 6004-43 = 900 4- 3 = 2004- 7 = 5004-64 = 800 4“ 24 IOO4- 5 = 3004- 6 = 3004-36 = 700 4-89 = 5004- 3 = 7004- 7 = 9004-62 = 4004-43 = Subtraktion.
12.
13.
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 =
900 4- 5 = 3004-18 = 600 4- 9 = 1004-76 = 500 4— 8 = 2004-61 = 800 4- 4 = 300 4-22 =
14.
13.
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 =
4. Stufe. Addition.
107+3 236 + 4 241 + 9 372 + 8 506 + 4 763 + 7 884 + 6 257+3 964 + 6 125 + 5
2.
3.
120 + 5 = 170 + 8 = 460 + 2 = 530 + 6 = 950 + 7 = 270 + 2 = 110 + 4 = 320 + 7 = 680 + 5 = 150 + 6 =
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 =?
folglich: 447 + 8
8. 119 + 6 107 + 4 236 + 8 206 + 5 157 + 7 309 + 6 378 + 8 402 + 9 566 + 6 708+7
6. 917 + 4 = 805 + 6 = 485 + 8 = 907 + 5 = 224 + 7 = 306 + 6 = 457 + 8 = 509 + 4 = 643 + 9 = 407 + 6 =
=455
7. 358 + 6 = 534 + 8 = 256 + 7 = 167 + 9 = 649 + 4 = 475 + 6 = 717+8 = 328 + 5 = 844+9 = 618 + 6 =
8. 115 + 8 = 348 + 7 = 585 + 9 = 736 + 5 = 988 + 4 = 227 + 8 = 469 + 3 = 818 + 6 = 536 + 8 = 327 + 9 =
Subtraktion
9, 109 — 5 = 208 — 3 = 306 — 4 = 509 — 7 = 403 — 2 = 705 — 3 = 907 — 4 = 806 — 5 = 608 — 7 = 309 — 6 =
10. 123 — 3 = 247 — 7 = 325 — 5 = 839 — 9 = 426 — 6 = 917 — 7 = 239 — 9 = 164 — 4 = 718 — 8 = 512 — 2 =
11.
12.
650 — 3 = 160 — 5 = 740 — 6 = 190 — 7 = 210 — 5 = 240 — 3 = 170 — 4 = 320—9 = 440—7 = 480 — 4 = 390 — 9 = 570 — 2 = 520 — 1 = 760 — 8 = 230 — 7 = 930 — 7 = 750 — 2 = 270 - 4 = 930 — 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 =
2.
3.
257 — 8 = 544—9 = 375 — 6 = 836 — 7 = 455 — 8 = 798-9 = 325 — 8 = 682 — 4 = 164 — 5 = 736 — 8 =
132 — 9 = 246 — 8 = 173 — 7 = 485 — 6 = 863 — 5 = 541 — 9 = 285 — 7 = 777 — 8 = 351—4 = 634 — 9 =
4.
s.
325 — 6 = 221 — 4 = 871 — 7 = 543 — 8 = 643 — 6 = 667 — 9 = 262 — 3 = 715 — 6 = 535 — 7 = 135 — 7 = 196 — 8 = 413 — 8 = 742 — 5 = 854 — 5 = 384 — 7 = 612 — 7 = 626 — 8 = 322 — 9 = 471 — 4 = 753 — 4 =
5. Stufe. Addition. Beispiel: 240 + 39*) = ? 240 + 30 = 270 270 + 9 = 279 240 + 39 = 279
6.
7.
8.
9.
1604-23 = 2504-34 = 5204-51 = 4104-17 = 2704-28 = 3104-32 = 7404-27 = 8204-46 = 6304-62 = 5404-38 =
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. 1214-40 = 236 4-60 = 3184-30 = 4564-20 = 841 + 50 =
11.
12.
627 + 50 = 543 + 40 = 728 + 60 = 915 + 40 = 229 + 30 =
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.
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 =
2.
3.
257 — 8 = 544—9 = 375 — 6 = 836 — 7 = 455 — 8 = 798-9 = 325 — 8 = 682 — 4 = 164 — 5 = 736 — 8 =
132 — 9 = 246 — 8 = 173 — 7 = 485 — 6 = 863 — 5 = 541 — 9 = 285 — 7 = 777 — 8 = 351—4 = 634 — 9 =
4.
s.
325 — 6 = 221 — 4 = 871 — 7 = 543 — 8 = 643 — 6 = 667 — 9 = 262 — 3 = 715 — 6 = 535 — 7 = 135 — 7 = 196 — 8 = 413 — 8 = 742 — 5 = 854 — 5 = 384 — 7 = 612 — 7 = 626 — 8 = 322 — 9 = 471 — 4 = 753 — 4 =
5. Stufe. Addition. Beispiel: 240 + 39*) = ? 240 + 30 = 270 270 + 9 = 279 240 + 39 = 279
6.
7.
8.
9.
1604-23 = 2504-34 = 5204-51 = 4104-17 = 2704-28 = 3104-32 = 7404-27 = 8204-46 = 6304-62 = 5404-38 =
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. 1214-40 = 236 4-60 = 3184-30 = 4564-20 = 841 + 50 =
11.
12.
627 + 50 = 543 + 40 = 728 + 60 = 915 + 40 = 229 + 30 =
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.
1. 161 — 40 = 152 — 10 = 258 — 30 = 732 — 20 = 468 — 60 = 235 — 20 = 376 — 50 = 489 — 60 = 964 — 30 = 227 — 20 =
5. 112 + 16 = 251 + 23 = 176 + 12 = 342 + 36 = 415 + 74 = 736 + 21 = 263 + 15 = 821 + 68 = 145 + 14 = 532 + 42 =
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 =
6. Stufe. Addition. 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 + 33 = 178 + 11 = 723 + 46 = 536 + 43 = 964 + 12 = 748 + 31 = 246 + 23 = 216 + 52 = 147 + 32 = 331 + 27 = 832 + 15 = 465 + 14 = 324 + 25 = Subtraktion. Beispiel: 275 — 32 = ? 275 — 30 = 245 245 — 2 = 243 275 — 32 = 243
*) Die zweite Zahl wird zerlegt.
4. 479-50 = 853 — 40 = 764 — 20 = 297 — 80 = 165 — 30 = 657 — 20 = 592 — 70 = 366 — 40 = 855 — 30 = 741 — 10 =
8. 951 + 27 — 824 + 43 — 311 + 66 — 522 +17 ----638 + 41 = 876 + 23 — 442 + 34 = 517 + 81 — 241 + 35 = 777 +12 —
1. 161 — 40 = 152 — 10 = 258 — 30 = 732 — 20 = 468 — 60 = 235 — 20 = 376 — 50 = 489 — 60 = 964 — 30 = 227 — 20 =
5. 112 + 16 = 251 + 23 = 176 + 12 = 342 + 36 = 415 + 74 = 736 + 21 = 263 + 15 = 821 + 68 = 145 + 14 = 532 + 42 =
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 =
6. Stufe. Addition. 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 + 33 = 178 + 11 = 723 + 46 = 536 + 43 = 964 + 12 = 748 + 31 = 246 + 23 = 216 + 52 = 147 + 32 = 331 + 27 = 832 + 15 = 465 + 14 = 324 + 25 = Subtraktion. Beispiel: 275 — 32 = ? 275 — 30 = 245 245 — 2 = 243 275 — 32 = 243
*) Die zweite Zahl wird zerlegt.
4. 479-50 = 853 — 40 = 764 — 20 = 297 — 80 = 165 — 30 = 657 — 20 = 592 — 70 = 366 — 40 = 855 — 30 = 741 — 10 =
8. 951 + 27 — 824 + 43 — 311 + 66 — 522 +17 ----638 + 41 = 876 + 23 — 442 + 34 = 517 + 81 — 241 + 35 = 777 +12 —
1.
2.
S.
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
3.
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 = 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.
S.
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
3.
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 = 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 =
8. Stufe. Addition. Beispiel: 237 4-49 = ? 237 4-40 = 277 277 4- 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 = 96o4“ 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 =
263--34 = 427--19 = 875--47 = 363--25 = 784--58 = 992--63 = 543--16 = 284--28 = 848--19 = 731--25 =
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 =
8. Stufe. Addition. Beispiel: 237 4-49 = ? 237 4-40 = 277 277 4- 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 = 96o4“ 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 =
263--34 = 427--19 = 875--47 = 363--25 = 784--58 = 992--63 = 543--16 = 284--28 = 848--19 = 731--25 =
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 =
s. Stufe. Subtraktion.
Addition.
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
100 + 130 = 170 + 100 = 200 + 240 = 150 + 300 = 600 + 310 = 190 + 800 = 400 + 420 = 160 + 700 = 500 + 370 = 780 + 200 =
6.
7.
8.
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 =
s. Stufe. Subtraktion.
Addition.
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
100 + 130 = 170 + 100 = 200 + 240 = 150 + 300 = 600 + 310 = 190 + 800 = 400 + 420 = 160 + 700 = 500 + 370 = 780 + 200 =
6.
7.
8.
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 =
Aufgaben für das schriftliche Rechnen.
13
1L Stufe. Addition. 100+109 = 300 + 402 = 600 + 203 = 200 + 508 = 800 + 101 = 400 + 307 = 700 + 204 = 500 + 406 = 300 + 605 = 800 + 108 =
2. 100 + 236 = 345 + 200 = 400 + 173 = 218 + 700 = 300 + 681 = 327 + 500 = 800 + 162 = 243 + 600 = 400 + 317 = 799 + 200 = Subtraktion.
4. 206 — 100 = 305 — 200 = 801 — 600 = 409 — 300 = 703 — 200 = 507 — 100 = 909 — 700 = 602 — 200 = 308 — 100 = 804 — 500 =
5. 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 =
«. 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.
7)
2 7 9 3 6 4 8 4 1 5
8)5 7 3 8 2 6 9 4 3 1
I. Addition. 1. Stufe. 9)9 10)5 11)7 12)9 13)5 14)9 2 5 4 9 6 9 1 4 3 2 9 9 7 1 3 3 3 6 5 2 2 8 9 2 7 5 7 1 8 5 1 2 6 6 8 9 9 7 6 5 4 4 4 4 9 8 8 8 1 6 2 4 3 3
Aufgaben für das schriftliche Rechnen.
13
1L Stufe. Addition. 100+109 = 300 + 402 = 600 + 203 = 200 + 508 = 800 + 101 = 400 + 307 = 700 + 204 = 500 + 406 = 300 + 605 = 800 + 108 =
2. 100 + 236 = 345 + 200 = 400 + 173 = 218 + 700 = 300 + 681 = 327 + 500 = 800 + 162 = 243 + 600 = 400 + 317 = 799 + 200 = Subtraktion.
4. 206 — 100 = 305 — 200 = 801 — 600 = 409 — 300 = 703 — 200 = 507 — 100 = 909 — 700 = 602 — 200 = 308 — 100 = 804 — 500 =
5. 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 =
«. 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.
7)
2 7 9 3 6 4 8 4 1 5
8)5 7 3 8 2 6 9 4 3 1
I. Addition. 1. Stufe. 9)9 10)5 11)7 12)9 13)5 14)9 2 5 4 9 6 9 1 4 3 2 9 9 7 1 3 3 3 6 5 2 2 8 9 2 7 5 7 1 8 5 1 2 6 6 8 9 9 7 6 5 4 4 4 4 9 8 8 8 1 6 2 4 3 3
123456789 11) 12) 13) 14) 15) 16) 17) 18) 19) 20)
10
2 —p- 7 H~ 9 —5 —f- 3 —f- 2 •+ 8 —t— 5 —|— 4 —|— 3 — 9 + 44-54-74-5 + 44-5 + 7 + 8 + 7 = 5+3+7+2 +2+6+ 7+4+2+2= 3 4— 6 4~ 4 4— 1 4— 1 4- 8 4— 2 4— 8 4- 9 4— 4 8 4— 2 + 6 4— 5 4- 9 4— 9 4— 1 4— 2 4— 7 4— 6 = 6 4“ 9 4— 2 4" 3 4- 4 4— 7 4— 9 4— 6 4- 6 4— 5 == 2 4- 1 4- 9 4— 8 4- 6 4— 5 4— 3 4— 9 4— 1 4— 9 = 9 4— 5 —f— 3 4— 9 4- 2 4- 3 4— 6 4— 4 4“ 5 4— 4 —3 4— 3 4“ 8 4— 6 4— 8 4- 1 4— 2 4— 3 4— 8 4— 7 = 1 + 8 + 44-2 + 7 + 7 + 5 + 1+4 + 3 =
21
22
23
24
25
26
27
28
29
30
31) 2 + 9 4— 6 4* 3 4— 5 4— 7 4— 3 4- 4 4— 2 4- 7 = 32) 3 4- 6 4“ 2 4— 1 4— 4 4— 5 4- 2 4— i 4— 3 4— 9 = 33) 5 —f— 2 4— 7 4— 8 4— 7 4— 2 4— 7 4— 5 4— 6 4- 4 = 34) 74-34-94-5 + 3 + 1+4 + 74-5 + 8 = 35) 9 4— 5 4— 4 + 6 4- 2 4— 9 4- 6 4— 2 4- 6 4— 9 = 36) 4 4— 7 4— 5 4— 2 4— 8 4— 4 4- 5 4- 1 4- 7 4— 4 — 37) 6 + 9 + 6 + 7 + 9 + 8+9 + 3 + 2 + 8 = 38) 8 + 4 + 8 + 1 + 4 + 7 + 4 + 5 + 7 + 5 = 39) 9 + 6 + 44-5 + 6 + 54-1 + 4 + 4 + 9 = 40) 2 + 3 + 9 + 8 + 1 + 3 + 2 + 94-3 + 6 =
2. Stufe. 41
42
43
44
45
46
47
48
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
27 49 32 68 72 64 15 29 30 48
26 19 11 27 32 28 26 49 77 60
38 49 88 26 17 65 49 28 34 16
99 56 32 69 78 35 42 13 30 70
75 37 90 39 45 66 32 48 95 90
123456789 11) 12) 13) 14) 15) 16) 17) 18) 19) 20)
10
2 —p- 7 H~ 9 —5 —f- 3 —f- 2 •+ 8 —t— 5 —|— 4 —|— 3 — 9 + 44-54-74-5 + 44-5 + 7 + 8 + 7 = 5+3+7+2 +2+6+ 7+4+2+2= 3 4— 6 4~ 4 4— 1 4— 1 4- 8 4— 2 4— 8 4- 9 4— 4 8 4— 2 + 6 4— 5 4- 9 4— 9 4— 1 4— 2 4— 7 4— 6 = 6 4“ 9 4— 2 4" 3 4- 4 4— 7 4— 9 4— 6 4- 6 4— 5 == 2 4- 1 4- 9 4— 8 4- 6 4— 5 4— 3 4— 9 4— 1 4— 9 = 9 4— 5 —f— 3 4— 9 4- 2 4- 3 4— 6 4— 4 4“ 5 4— 4 —3 4— 3 4“ 8 4— 6 4— 8 4- 1 4— 2 4— 3 4— 8 4— 7 = 1 + 8 + 44-2 + 7 + 7 + 5 + 1+4 + 3 =
21
22
23
24
25
26
27
28
29
30
31) 2 + 9 4— 6 4* 3 4— 5 4— 7 4— 3 4- 4 4— 2 4- 7 = 32) 3 4- 6 4“ 2 4— 1 4— 4 4— 5 4- 2 4— i 4— 3 4— 9 = 33) 5 —f— 2 4— 7 4— 8 4— 7 4— 2 4— 7 4— 5 4— 6 4- 4 = 34) 74-34-94-5 + 3 + 1+4 + 74-5 + 8 = 35) 9 4— 5 4— 4 + 6 4- 2 4— 9 4- 6 4— 2 4- 6 4— 9 = 36) 4 4— 7 4— 5 4— 2 4— 8 4— 4 4- 5 4- 1 4- 7 4— 4 — 37) 6 + 9 + 6 + 7 + 9 + 8+9 + 3 + 2 + 8 = 38) 8 + 4 + 8 + 1 + 4 + 7 + 4 + 5 + 7 + 5 = 39) 9 + 6 + 44-5 + 6 + 54-1 + 4 + 4 + 9 = 40) 2 + 3 + 9 + 8 + 1 + 3 + 2 + 94-3 + 6 =
2. Stufe. 41
42
43
44
45
46
47
48
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
27 49 32 68 72 64 15 29 30 48
26 19 11 27 32 28 26 49 77 60
38 49 88 26 17 65 49 28 34 16
99 56 32 69 78 35 42 13 30 70
75 37 90 39 45 66 32 48 95 90
Aufgaben für das schriftliche Rechnen.
15
12345678
11) 12) 13) 14) 15) 16) 17) 18) 19) 20)
10
9
12 4— 24 4— 49 4— 60 4— 28 4—17 4- 34 *4** 26 -4* 90 -4*