Rechenbuch für Vorschulen. Heft 3 Mündliche und schriftliche Übungen im unbegrenzten Zahlraum: Resolvieren und Reduzieren [Reprint 2021 ed.] 9783112461105, 9783112461099

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Rechenbuch für Vorschulen. In drei Heften herausgegeben von

I. Augsburger, Letzter a. d. Vorschule des Königl. Luisen-GymnasiumS zu Berlin.

Heft III. Mündliche und schriftliche Übungen im unbegrenzten Zahlenraunr Resolvieren und Reduzieren.

Berlin, 1884. Druck und Verlag von G. Reimer.

Der Zahlenkreis von 1 vis 1000 nnd der unbegrenzte Zahlenkreis. Ausgaben für das mündliche Rechnen.

I.

Addition und Subtraktion.

1. Stufe. Addition.

Beispiele: Aufgabe: 1) 308 + 405= ? Rnfnnn (308 + 400 = 708 Sofung j7O8+ 5 = 713

2) 503 + 260= ? 503 + 200 = 703 703+ 60 = 763 503 + 260 = 763

folglich: 308 + 405 = 713

1.

2.

3

4.

108 +106 = 104 + 109 = 203 +107 = 209 + 208 = 305 + 607 = 406 + 205 = 507 + 403 = 208 + 309 = 804 +108 = 609 + 307 =

105 + 305 = 704 + 209 = 307 + 204 = 509 + 206 = 806 +107 = 109 + 604 = 608 + 206 = 207 + 404 = 405 + 507 = 506 + 209 =

107 + 209 = 206 + 708 = 509 + 304 = 304 + 207 = 607 +109 = 208 + 506 = 404 + 208 = 601 +109 = 302 + 508 = 706 +106 =

308 + 206 = 105 +109 = 207 + 504 = 606 +107 = 307+405 = 703 +109 = 209 + 707 = 106 + 608 = 808 + 105 = 309 + 407 =

3.

6.

7.

8.

206 + 130 = 405 + 260 = 307 + 630 = 501 + 290 = 708 + 140 = 609 + 250 = 207 + 320 = 308 + 240 = 604 +190 = 505 + 210 =

607 + 360 = 306 + 110 = 704 + 270 = 108 + 340 = 507 + 230 = 209 + 480 = 803 + 110 = 408 + 480 = 304 + 370 = 605 + 150 =

150 + 206 = 230 + 304 = 170 + 403 = 720+107 = 440 + 205 = 360 + 501 = 240 + 608 = 890 +109 = 560 + 204 = 730 + 202 =

301 +460 = 270 + 304 = 505 + 170 = 340 + 206 = 502 + 320 = 190 + 309 = 203 + 540 = 740 + 104 = 307 + 260 = 820 + 108 =

Der Zahlenkreis bon 1 bis 1000

4

Beispiel: 340 + 250 = ? 340 + 200 = 540 540+ 50 = 590 340 + 250 = 590

I. 160 + 130 150+120 130 + 150 210 + 170 250 + 230 310 + 450 670 + 220 480 + 510 = 240 + 350 520 +130

i i I

I

2.

3.

230 + 420 = 240 +130 = 130 + 610 = 570 + 220 = 340 + 440 = 610 + 170 = 460 + 230 = 220 + 460 = 560 + 210 = 260 + 320 =

170 + 310 = 240 + 530 = 410 + 270 = 340 + 320 = 630 + 110 = 210 + 360 = 560 + 430 = 430 + 310 = 650 + 220 = 540 + 330 =

350 + 230 = 680 + 110 = 530 + 260 = 320 + 340 = 170 + 220 = 450 + 330 = 640 +150 = 220 + 670 = 830 +140 = 120 + 360 =

Subtraktion.

Beispiel: 817 817 517 817

3. 416 — 209 = 815 — 407 = 712 — 208 = 917 — 609 = 211 — 104 = 314 — 206 = 513 — 105 = 415 — 309 = 912 — 707 = 614 — 308 =

— 308 = ? — 300 = 517 — 8 = 509 — 308 = 509

7.

8.

312 — 107 = 738 — 408 = 811 — 404 = 673 — 303 = 316 — 207 = 983 — 603 = 512 — 305 = 448 — 308 = 216 — 107 = 823 — 603 =

615 — 209 = 257 — 307 = 911 — 604 = 329 — 109 = 613 — 207 = 776 — 406 = 518 — 309 = 844 — 604 = 217 — 108 = 954 — 704=

6. 749 — 409 = 874 — 504 = 228 — 108 = 573 — 203 = 319 — 109 = 483 — 203 = 666 — 406 = 947 — 707 = 556 — 306 = 279 — 109 =

Beispiel: 780 — 350 = ? 780 — 300 = 480 480— 50 = 430 780^350 = 430

2. 250--130 = 370--160 = 860-- 420 = 540--210 = 660--330 = 790--560 = 480--230 = 850--720 = 390--270 = 640--410 =

1)

3)

590--260 = 760--620 = 280-- 130 = 950--740 = 430--210 = 870-- 550 = 450-- 220 = 680-- 370 = 960--450 = 350--140 =

3. 380-- 240 = 990--810 = 460--240 = 780-- 450 = 270--160 = 530--210 = 890--660 = 470--140 = 980--630 = 730--410 =

950--420 = 760--330 = 340-- 110 = 680 -- 560 = 240-- 120 = 960--640 = 590--380 = 640--220 = 770--460 = 930--610 =

8. Stufe. Addition. Beispiele: 436 + 240 = ? 2) 230 + 359 = ? 230 + 300 = 530 436 + 200 = 636 636 + 40 = 676 530+ 50 = 580 580 + 9 = 589 436 + 240 = 676 230 + 359 = 589 247 + 323 = ? 247 4-300 = 547 547+ 20 = 567 567 + 3 = 570 247 + 323 = 570

4)

448 + 329 = ? 448 + 300 = 748 748+ 20 = 768 768 + 9 = 777 448 + 329 = 777

8.

6.

7.

8.

135 + 160 = 241 + 350 = 329 + 430 = 516 + 270 = 423 + 240 = 851 +130 = 667 + 320 = 148 + 350 = 317 + 230 = 579 + 120 =

340 + 225 = 220 + 456 = 730 + 166 = 450 + 218 = 330 + 341 = 420 + 256 = 810+ 137 = 540 + 211 = 350 + 425 = 410 + 269 =

240 + 436 = 129 + 250 = 370 + 429 = 452 + 330 = 560 + 112 = 223 + 460 = 740 + 251 = 416 + 230 = 820 + 156 = 769 + 220 =

145 + 204 = 234 +102 = 361 + 406 = 233 + 205 = 656 + 303 = 414 + 201 = 872 +107 = 323 + 304 = 645 + 203 = 287 + 501 =

9.

10.

11.

12.

305 +132 = 601 +168 = 406 + 242 = 503 + 475 = 107 + 252 =

802 + 116 = 204 + 344 = 705 + 221 = 301 + 398 = 404 + 213 =

143 + 134 = 224 + 253 = 651 +118 = 347 + 421 = 875 +123 =

462 + 316 = 716 + 142 = 534 + 244= 256 + 432 = 733 + 156 =

1.

2

3.

203 4-147 = 405 4“ 225 = 307 + 333 = 706 + 164 = 504 + 236 =

201 + 179 = 602 + 348 308 + 162 — 409 + 441 = 703 + 177 —

236 + 104 = 367 + 403 = 415 + 205 = 739 + 101 = 561 + 309 =

4.

6.

7.

134 + 208 — 228 + 107 =»,365 + 406 — 559 + 204 — 746 + 108 = 428 + 305 — 639 + 207 = 575 + 408 = 317 + 304 — 829 + 105 —

205 + 237 = 309 + 126 = 806 + 119 = 405 + 286 = 708 + 325 = 107 + 216 = 509 + 244 = 606 + 128 = 305 707 + 137 = II

8.

C D

+

3. 124 + 236 = 219 + 441 = 435 + 155 = 748 + 132 = 362 + 418 = 811 + 129 = 553 + 237 = 627 + 163 = 246 + 524 = 351 + 319 =

616 + 204 252 + 608 423 + 107 514 + 406 748 + 202 245 + 129 137 + 316 258 + 235 634 + 127 516 + 218 328 + 346 445 + 227 827 + 119 274 + 418 628 + 233

Subtraktion. Beispiele: 579--340 == ? 2) 668--425 == ? 579--300 == 279 668--400 == 268 279--40 == 239 268--20 == 248 248-- 5 == 243 579--340 == 239 668--425 == 243 790--537 == ? 790--500 == 290 290--30 == 260 260-- 7 == 253 790--537 == 253

293--160 = 548 --320 = 769--450 = 337 --110 = 473--360 = 851--630 = 695--270 = 368--150 = 754--420 = 389--160 =

4)

482--258 == ? 482--200 == 282 282-- 50 == 232 232-- 8 == 224 482--258 == 224

10.

11.

238--105 = 359--207 = 837 --406 = 649--504 = 774--602 = 418-- 205 = 597 --104 = 364--202 = 739--506 = 876--404 =

287 — 134 = 659 — 325 = 396 — 283 = 944 — 612 = 428 — 116 = 567 — 425 = 378 — 167 = 855 — 533 = 637 — 415 = 983 — 761 =

12. 780--308 690--406 230--103 470--209 750--604 580--305 320--107 990--709 670--402 430--208

1.

2.

3.

940 — 624 = 780 — 436 = 470 — 218 = 650 — 325 = 290 —169 = 530 — 217 = 880 — 556 = 360 -- 245 = 770— 525 = 250 — 123 =

486 — 208 = 875 — 607 = 732 — 405 = 264 — 106 = 743 — 509 = 325 —107 = 687 — 408 = 944 — 705 = 275 — 109 = 861 — 504 =

352 — 139 = 764 — 527 = 575 — 248 = 983 — 736 = 227 — 119 = 694 — 455 = 332 — 214 = 885 — 668 = 752 — 223 = 964 — 548 =

»

4. 648 — 107 = 934 — 722 = 390 — 206 = 680 — 414 = 533 — 308 = 796 — 529 = 367 — 104 = 248 —125 = 640 — 307 = 975 — 608 =

Stufe. Addition.

1)

Beispiele.: 70 + 80 = ? 2) 70 + 30=^100 100 + 50 = 150 + 80=150

360 + 490 = ? 360 + 400 = 760 760+ 90 = 850 360 + 490 = 850

3.

6.

7.

8.

30 + 80 = 70 + 60 = 40 + 90 = 80 + 50 = 20 + 90 = 60 + 70 = 50 + 80 = 40 + 70 = 60 + 50 = 70 + 90 =

60 + 60 = 40 + 80 = 50 + 90 = 70 + 70 = 80 + 40 = 60 + 90 = 90 + 50 = 30 + 90 = 80 + 60 = 60 + 80 =

140 + 60 = 270 + 30 = 450 + 50 = 760 + 40 = 320 + 80 = 610 + 90 = 980 + 20 = 530 + 70 = 790 + 10 = 370 + 30 =

170 + 60 = 280 + 50 = 740 + 90 = 390+70 = 560 + 80 = 870 + 40 = 660 + 90 = 480 + 30 = 750 + 60 = 840 + 80 =

9. 560 + 70 = 370 + 80 = 890 + 50 = 450 + 60 = 760 + 70 = 280 + 90 = 860 + 50 = 590 + 30 = 160 + 60 = 380 + 50 =

10.

11.

12.

360 + 50 = 580 + 70 = 790 + 20 = 250 + 90 = 870 + 60 = 640 + 80 = 190 + 30 = 860 + 70 = 350 + 90 = 270 + 40 =

130 + 180 = 250 + 370 = 360 + 260 = 480 + 340 = 270 + 450 = 150 + 560 = 590 + 220 = 370+180 = 680 + 270 = 160 + 450 =

260 + 480 = 170 + 340 = 540 + 270 = 750 + 190 = 180 + 430 = 370 + 380 = 660 + 250 = 490 +120 = 280 + 540 = 760+170 =

8

Der Zahlenkreis von 1 bis 1000

1)

Subtraktion. Beispiele: 160 — 90 = ? 2) 550 — 380= ? 160 — 60=100 550 — 300 = 250 100--30 = 70 250— 80=170 160 -90 = "70 550 — 380 = 170

I.

3.

4.

150 — 60 = 130 — 70 = HO — 30 = 160 — 80 = 140 — 50 = 120 — 70 = 170 — 90 = 150 — 80 = 180 — 90 = 120 — 40 =

240 — 80 = 420 — 60 = 750 — 90 = 370 — 80 = 860 — 70 = 540 — 50 = 250 — 80 = 630 — 60 = 340 — 70 = 810 — 30 =

2

100 — 70 = 200 — 50 = 400 — 60 = 300 — 90 = 700 — 60 = 1000 — 40 = 600 — 10 = 500 — 30 = 800 — 80 = 900 — 20 =

K.

100--40 = 400--70 = 700--50 = 900--80 = 300--20 = 500--40 = 1000--90 = 600--30 = 200--70 = 800--60 =

(>.

230--60 = 820--40 = 350 --90 = 740--50 = 210 --30 = 830 --60 = 440--80 = 610 --20 = 320 --40 = 530 -- 90 =

250--170 = 760--490 = 310-- 130 = 530-- 250 = 950--780 = 440-- 160 = 820--430 = 730-- 270 = 210 --140 = 660--380 =

7.

8.

240--160 = 550--370 = 830--540 = 710-- 180 = 230 --150 = 620--290 = 510 --230 = 220 -- 140 = 840--470 = 750 -- 260 =

740--370 = 310--160 = 850--590 = 230-- 180 = 420--240 = 860--580 = 550--160 = 280--190 = 640--470 = 910--830 =

L. Stufe. Addition. Beispiele:

1)

9.

70 + 58 = ? 70 + 50=120 120+ 8 = 128 70 + 58 = 128

10.

80 + 74 = ! 340 + 89 = 150 + 68 = 90 + 48 = 450 + 63 = 70 + 53 = 50 + 84 = 290 + 85 = 580 + 92 = 60 + 77 =

2)

440 + 295 = ? 440 + 200 = 640 640+ 90 = 730 730-H ö» = 7 ÖD 440 + 295 = 735

11.

12.

6 i 0 —5 4 30 + 94 = 280 + 36 = 70 + 65 = 790 + 42 =

60 + 83 = 560 + 78 = 90 + 29 = 840 + 94 = 50 —f— < i

9

und der unbegrenzte Zahlenkreis.

1.

2.

340 + 179 = 670 + 245 = 280 + 331 160 + 468 = 790 + 126 =

450 + 282 = 370 + 367 = 580 + 143 = 290 + 455 = 660 + 273 =s=

4.

3. 168 + 290 = 384 + 440 = 752 + 180 = 291 + 330 = 564 + 270 =

357+260 = 666 +180 = 495 + 450 = 268 + 370 = 372 +150 =

Subtraktion. Beispiele: 2) 559 — 290 = ? 1) 447 — 70 = ? 559 — 200 = 359 440 — 70 = 370 370+ 7 =377 359— 90 = 269 559 — 290 = 269 447 — 70 = 377*)

1)

S.

6.

135 — 60 = 247 — 80 = 561 — 70 = 852 — 90 = 129 — 40 = 376 — 80 = 438 — 50 = 117 — 30 = 923 — 60 = 564 — 90 =

328 — 60 = 112 — 20 = 453 — 70 = 237 — 50 = 564 — 90 = 115 — 30 = 246 — 60 = 779 — 90 = 344 — 80 = 622 — 50 =

78 + 56 = ? 78 + 50 = 128 128+ 6 = 134 78 + 56 = 134

4.

8.

345— 170 = 416 — 240 = 732 — 450 = 258 — 180 = 567 — 390 = 841 — 670 = 629 — 260 = 444 — 180 = 727 — 340 = 236 — 190 =

462 — 180 = 741 — 350 = 327 — 270 = 634 — 360 = 866 — 590 = 257 — 170 = 916 — 630 = 543 — 270 = 778 — 490 = 425 — 150 =

5. Stufe. Addition. Beispiele: 2) 365 + 85 = ? 365 + 8(j = 445 445 + 5 = 450 365 + 85 = 450

3) 248 + 486 = ?_ 248 + 400 = 648 648+ 80 = 728 728+ 6 = 734 248 + 486 = 734

9.

10.

11.

12.

57 + 82 = 43 + 97 = 78 + 46 = 65 + 73 = 82 + 58 =

29 + 95 = 41 + 86 = 87+43 = 68 + 59 = 92 + 34 =

84 + 64 = 27 + 92 = 53 + 87 = 75 + 59 = 81 + 44 =

46 + 74 = 54 + 83 = 66 + 52 = 83 + 37 = 37 + 91 =

) Andere Lösung: 70 = 47 + 23; 447 — 47 = 400, 400 — 23 = 377.

10

Der Zahlenkreis von 1 bis 1000

1.

2.

3.

4.

55 + 81 = 48 + 92 = 79 + 58 = 62 4-65 = 77 4-43 =

58 + 76 = 36 + 83 = 74 + 66 = 88 + 55 = 93 + 84 =

62 + 76 = 88 + 32 = 75 + 46 = 41 + 83 = 66 + 74 =

58 + 69 = 32 + 96 = 55 + 75 = 86 + 68 = 49 + 82 =

3.

6.

7.

135 4-82 = 456 -4 74 = 528 4-96 = 7714-54 = 362 4-78 = 245 4-85 = 679 4- 48 = 867 4- 52 = 184 + 36 = 278 + 58 =

268 + 91 = 574 + 86 = 345 + 79 = 884 + 43 = 469 + 81 = 736 + 96 = 582 + 55 = 697 + 63 = 278 + 49 = 443 + 76 =

146 + 172 = 258 + 282 = 376 + 148 = 564 + 263 = 482 + 358 1'4 + 435 = 676+183 = 251 + 379 = 488 + 236 = 793 +144 =

8/ 394 +166 = 147 + 388 = 576 + 243 = 358 + 275 = 683 +154 = 277 + 463 = 791 +174 = 435 + 385 = 158 + 279 = 536 + 194 =

Subtraktion. Beispiele: 1) 156 — 79 = ? 2) 462 — 288 = ? 462 — 200 = 262 156 — 70 = 86 86— 9 = 77 262— 80 = 182 182 — 8 = 174 156 — 79 = 77 462 — 288 - 174

9. 137 — 64 = 155 — 83 = 128 — 44 = 146 — 73 = 179 — 97 = 114 — 32 = 15*7 — 75 = 138 — 84 = 164 — 92 = 133 — 58 =

10. 150 — 68 =s= 130 — 42 = 180 — 96 = 160 — 85 = 120 — 37 = 140 — 69 = 170 — 88 = 110 — 51 = 150 — 72 = 160 — 91 =

13. 125 — 49 = 243 — 78 = 664 — 97 = 317 — 39 = 924 — 56 =

435 — 88 = 718 — 49 = 251 — 73 = 545 — 87 = 322 — 66 =

11.

12.

237 — 65 = 348 — 76 = 454 — 81 = 836 — 45 = 625 — 52 = 319 — 34 = 768 — 94 = 535 — 72 = 866 — 83 = 218 — 54

570 — 88 = 330 — 64 = 750 — 77 = 410 — 45 = 660 — 92 = 320 — 36 = 950 — 81 = 240 — 64 = 510 — 32 = 870 — 89 =

VA. 326 —154 = 735 — 483 = 254 — 172 = 618 — 425 = 942 — 561 =

16. 436 — 188 = 863 — 392 = 355 —171 = 776 — 484 = 515 — 233 =

1.

2.

450 — 276 320 — 143 = 740 — 357 230 —168 = 550 — 375 =

910 — 638 = 640 — 451 = 330 — 162 = 460 — 284 250 — 195 ===

1)

3. 532 — 168 = 471 — 293 = 313 —135 ‘.'21 — 557 = 636 — 268

1. 452 —173 = 817 — 649 = 266 —188 ■ 554 — 296 = 723 — 345

ft. Stufe. Addition. Beispiele: 6004-900 = ? 2) 7804-970 = ? 600 4-400 = 1000 780 4-900 = 1680 10004-500 = 1500 1680 4- 70 = 1750 600 + 900 = 1500 780 + 970 = 1750

8.

6.

7.

8.

300 + 800 = 500 + 700 = 900 + 300 = 600 + 900 = 400 + 800 = 700 + 400 = 900 + 700 = 800 + 600 = 500 + 900 = 700 + 700 =

400 + 820 = 700 + 470 = 300 + 840 = 500 + 610 = 900 + 960 = 600 + 730 = 800 + 550 = 400 + 870 = 900 + 340 = 700 + 580 =

730 + 800 = 680 + 600 = 950 + 400 = 570 + 700 = 890 + 300 = 460 + 900 = 750 + 600 = 990 + 300 = 670 + 700 = 560 + 800 =

940 + 700 = 600 + 840 = 720 + 400 = 400 + 960 = 880 + 600 = 500 + 740 = 760 + 500 = 800 + 590 = 630 + 700 = 700 + 910 =

11.

12.

9.

10.

950 + 320 = 760 + 530 = 820 + 450 = 440 + 820 = 630 + 730 = 920 + 260 = 550 + 840 = 380 + 910=5= 730 + 560 = 910 + 670 =

630 + 870 = 480 + 720 = 750 + 850 = 960 + 440 = 570 + 930 = 880 + 520 = 930 + 370 = 470 + 830 = 340 + 960 = 580 + 620 =

570 + 750 = 850 + 580 = 630 + 890 = 760 + 460 = 960 + 560 = 370 + 790 = 450 + 780 = 540 + 870 = 880 + 930 = .980 + 630 = 790 + 550 = 670 + 750 = 560 + 860 = 350 + 960 = 940 + 380 = 590 + 620 = 370 + 970 = 780 + 950 = 780 + 640 = 870 + 780 =

Subtraktion. Beispiele: 1) 1700 — 900 = ? 2) 1530 — 870 = ? 1700—.700 = 1000 1530 — 800 = 730 1000 — 200 = 800 730— 70 = 660 1700 — 900= 800 1530 — 870 = 660

1. 1200 — 500 = 1700 — 900 = 1100 — 300 = 1400 — 600 = 1800 — 900 = 1500 — 700 = 1300 — 400 = 1600 — 800 = 1100 — 600 = 1700 — 900 =

4. 1500 — 830 = 1300 — 470 = 1100 — 390 = 1600 — 940 = 1200 — 560 = 1400 — 810 = 1700 — 930 = 1500 — 620 = 1800 — 990 = 1600 — 850 =

| I

2. 1350 — 600 = 1470 — 800 = 1130 — 400 = 1780 — 900 = 1520 — 700 = 1670 — 800 = 1230 — 500 = 1480 — 600 = 1160 — 300 = 1590 — 900 = 3. 1270 — 850 = 1790 — 930 = 1160 — 420 = 1480 — 760 = 1750 — 810 = 1390 — 570 = 1540 — 620 = 1460 — 950 = 1630 — 810 = 1250 — 530 =

3. 1450 — 650 = 1730 — 930 = 1870 — 970 = 1580 — 780 = 1240 — 440 = 1860 — 960 = 1120 — 520 = 1390 — 790 = 1650 — 850 = 1430 — 630 = 6. 1320 — 570 = 1140 — 460 = 1450 — 790 = 1260 — 680 = 1610 — 930 = 1330 — 870 = 1520 — 740 = 1740 — 980 = 1120—350 = 1630 — 870 =

Aufgaben für das schriftliche Rechnen. Lesen und Schreiben der Zahlen im unbegrenzten Zahlenkreise. 10 Einer = 1 Zehner =................................................... 10 10 Zehner = 1 Hunderter =............................................100 10 Hunderter = 1 Tausender =.................................... 1000 10 Tausender = 1 Zehntausender =.......................... 10 000 10 Zehntausender = 1 Hunderttausender = . . 100000 10 Hunderttausender = 1 Millioner = .... 1000 000 10 Millioner = 1 Zehnmillioner = .... 10000000 10 Zehnmillioner = 1 Hundertmillioner = . 100 000 000 10 Hundertmillioner = 1 Tausendmillioner = 1000 000 000 Die Einer (E) .... stehen in der Isteu Stelle Zehner (Z) ... . 2ten von rechts itach links Hunderter (H) . . . 3 ten 4 ten Tausender (T) . . . ,, Zehntausender (ZT) . 5 ten Hunderttausender (HT) Giert Millioner (M) . . . 7 ten ii ii Zehnmillioner (ZM) . 8 ten ii ii 9 ten Hundertmillioner (HM) Tausendmillioner (TM) ,, 10 ten » ii

TM HM ZM 10

9

8

M

HT

ZT

7

6

5

i

1

T

H

Z

E

4

3

2

1

5

7

2

8

4

8

9

3

4 1 4 2 7 8 In vorstehendes Schema werden die folgenden Zahlen eingetragen, nachdem sie vorher zerlegt und gelesen worden; z. B.: 5 728 = 5 T, 7 H, 2 Z, 8 E.

1.

2.

3.

4.

S.

5 728 7 964 3 570 6 780^ 9 900 7 600 5 806 2109 4 800 7 990

7 039 6 094 2 085 3 007 8 005 5 090 9 000 4 006 7 015 8 762

14 893 57 236 91 680 55 800 21 906 43 007 60 384 50 607 40080 51601

20 340 80 066 70 000 30 074 10 203 33 040 92 935 40 700 80036 73 008

142 784 237 950 528 600 450 000 700000 385 308 926 005 813 070 640 039 200058

6.

7.

8.

9.

306 062 700 803 680004 350 256 190070 820 600 304009 600 005 309 008 500070

1 462 783 5 259 130 8 730 295 2 855 000 7 060 840 3 000 998 4008 070 9 060 809 6 900 024 8 000 900

3 820 306 4 059 280 9 300 542 7 806 004 6 205 833 1 007 080 5 500 209 2 760 000 8 375 681 1802 749

13 251 896 26 530 290 40 708 005 95 007 308 51 300 746 72 958 000 32 070408 89 042 700 23 704 809 11 095 003

10.

11.

12.

27 6 538 924 560 320 800 705 803 904 100 090080 678 000 432 1 964 432 000 5 170 004 029 3 528 943 261

2 030 700 503 9 008 050 086 4000000 57 903 8 400 306 080 15 020 034 107 500

3 008 7 000 628 50 207 300 084 277 080 590 5 700 308 66 800 4 070

13. 603 089 63 081 543 150 240 037 1 603 408 10040 ,13 233 878 370 209 080 4056 309

I.

1) 5 700 + 2 890 + 3 482 + 5 034 + 4 509 + 7 008 + 9 532 + 1680 + 5 426 + 8190

2) 3 629 4 853 9 076 5 007 2 685 7 060 8 530 4 209 1237 6 041

Addition. 4) 7 790 3) 2 700 4 582 3 000 5 982 3 009 4 280 8 654 8 763 6102 5 954 3 051 4 268 6 700 2 880 7 690 5 299 9 247 3 426 3 860

5) 2 832 9 466 7 800 3 040 5 000 8 007 4 249 1658 5 794 9 808

=?

6) 2 790 4-8 000 +2 466+ 5 090 + 7 004 + 1 694 + 5 433 + 2084 + 7 140 + 9234 = 7) 7 633 + 5 820 + 4 900 + 6 081 + 2 090 + 4 956 + 3 820 + 9 683 + 3 409 + 7 642 = 8) 5 672 + 7 084 + 9 007 + 3 800 + 2 784 + 8 462 + 4 703 + 2640 + 7 814 + 4206 = 9) 2 940 + 5 762 + 8 972 + 4 070 + 8 262 + 9 365 + 7 993 + 2 685 + 6 403 + 7 009 = 10) 8 456 + 9466 + 7 030 + 6550 + 8 362 + 4268 + 9 773 + 1 234 +6400 + 7 216 = 11) 8 860 + 2 340 + 7 003 + 4 268 + 7 135 + 3 402 + 2 680 + 2 315 + 6 200 + 1 294 = 12) 5 662 +1 468 + 7 234 + 5 062 + 6 400 + 7 102 + 2 344 + 7 000 + 8414 + 6 124 = 13) 3 368 + 1 426 + 2 816 + 3 474 + 7030 + 2119 + 7 008 + 5203 + 9000 + 7 610 = 14) 9 400 + 3 268 + 9 211 + 2 344 + 1 563 + 5 000 + 2 133 + 7 428 + 5 300+1507 = 15) 7 614 + 8 007 + 3 426 + 9 862 + 4 636 + 7 048 + 2 990 + 5 784 + 3 970 + 5 018 =

16) 13 728 45 818 96 274 22 806 74 005 36 000 57 009 2L818 17 506 28 300

17) 25 813 77 040 50 800 33 659 12 703 85 209 70 033 64 213 96 485 55 207

18) 42 080 73 512 26 909 30048 67 532 44 819 39 000 72150 19 831 11 502

19) 10 932 91468 20213 47 002 32 804 16 259 55 638 77400 35 OK 12 345

1) 72 344 + 18 660 + 43 924 + 80 900 4- 25 406 + 15 639 + 20 000 + 65 403 + 12 307 + 56 900 = 2) 41 036 + 50 733 + 60008 + 15 789 + 32 009 + 19 503 + 33 684 + 17 804 + 23 806 + 60 713 = 3) 10 805 + 19 360 + 44 631 + 70 300 + 18 000 + 21 369 + 99 804 + 15 123 + 41030 + 77 146 = 4) 25 308 + 16 908 + 35 297 + 23 965 + 13 200 + 61 433 + 53 100 + 62 814 + 50 260 + 25 840 = 5) 23 000 + 77 483 + 16 009 + 24 833 + 87 163 + 12 345 + 60 038 + 27 349 + 10 770 + 18 512 = 6) 50 800 + 33114 + 60 120 + 34 620 + 12 903 + 19 140 + 41'250 + 23 667 + 15 500 + 70 039 = 7) 96 814 + 60 080 + 35 104 + 20 070 + 21 818 + 16 900 + 12 349 + 67 400 + 19 876 + 66 904 = 8) 86 402 + 13 140 +10001 + 17 406 + 19 753 + 19 042 + 16 938 + 13 192 + 61 823 + 33 668 = 9) 7 305 159 27 8 35 268 9 470 706 98 1207

10) 5 869 237 6 009 5 86 3 532 41 600 25 9

11) 70 340 1520 96 377 8 613 6 23 975 466 80 41039

12) 20 348 6 495 '7 006 42 98 037 5 864 73 . 8 190

13) 3 740 + 82 + 460 + 9 + 2 307 + 48 + 1 005 + 65 + 489 +1 299 I I 446 + 7 230 + 88 + 5 690 + 7+26 + 416 + 6900 + 659 +6= 15) 5 + 199 + 3 7Ö0 + 68 + 290 + 5 000 + 673 + 76 + 5 144 + 42 = 16) 91 + 2 794 + 5 + 133 + 5 84O + 6778 + 4OO + 2 + 1997 + 36 = 17) 4 983 + 2 + 7 600 + 8 + 6 413 + 276 + 3 842 + 11 298 + 16 + 6 508 = 18) 76 + 322 + 8 +160 + 4 836 + 26 + 5 804 + 296 + 3 568 + 56 = 19) 15 260 + 3 942 + 608 + 18 + 4 + 77 642 + 17 + 60 084 + 9+‘50 206 = 20) 6 180 + 39 + 76 235 + 148+ 7+ 1884 +13-+ 160 + 85 ■ + 34 809 = A ugüb u r g e r, Recbniheft. II r. 2

16

Der Zahlenkreis von 1 bis 1000

1) 70 492 + 6418 + 196 + 17 + 3 + 62 406 + 908 +1 786 + 619 + 65 = 2) 88 + 4 239 + 53 290 + 49 273 + 16 + 6 + 188 + 37 804 + 2 900 + 40 = 3) 46 104 + 126 + 5 038 + 12 + 9 + 930 + 52 + 177 + 59 +13 259 = 4) 6 + 288 + 54 260 + 81+633 + 2 + 4 340+19 + 4 833 + 70944 = 5) 104 260 7) 219 003 8) 574 862 6) 526 903 730040 259 304 169 847 567 986 506 800 193 715 192 541 406 043 700 090 847 436 200 368 270 400 260080 904203 456 793 135 680 534 173 260054 246 914 116 800 400 600 186 409 703 268 307 418 215 460 217 844 870 306 793 085 100 500 919 736 714 200 138 179 408 090 648 155 217 483 183 640 9) 125 615 + 304 819 + 102 889 + 200 053 + 761 800 + 337 060 + 459 281 + 610 008 + 152 408 + 387 407 = 10) 220 703 + 562 110 + 703 040 + 884 713 + 216 899 + 167 003 + 450 206 +187 309 + 400 093 + 123 567 = 11) 386 571 + 219 030 + 863 057 + 445 833 +109 807 + 217 340 + 760 408 + 246 803 +100 800 + 462 318 = 12) 551 623 + 173 031 + 284 039 + 476 005 +121 347 + 198 784 + 204 207 + 987 006 + 640 832 + 735 080 = 13) 362 179 + 261 653 + 223 671 + 861 500 + 208 709 + 500 703 + 420 018 + 501 502 + 369 258 + 416 001 = 14) 678 903 + 546 284 + 195 009 + 123 004 + 540 389 + 281 660 + 107 302 + 207 306 + 500 678 + 712 407 = 15) 562 481 + 210 058 + 678 100 + 280 084 + 640 238 + 122 304 + 734 619 + 347 040 + 642 305 + 564 310 = 16) 680 310 + 471 640 + 216 384 + 388 000 + 963 805 + 472 843 + 837 400 + 847 612 + 706 042 + 406 030 = 19) 16 807 18) 49 20) 200 800 17) 209 408 6 030 204090 57 053 17 653 6189 107 468 3 245 4 009 704 259 673 681 46 300 72 5 59 3 200 783 4 49 9 247 322 948 35 5 020 354 5 600 206 62 17 933 25 4 355 208 469 4 830 149 670809

1) 460 920 + 170 + 3 508 + 440 + 200 509 + 17 800 + 1 935 —H i —|— 30 OoO —H i 4 880 2) 68 + 8 + 199 + 5000 + 43672 + 174009 + 23 + 406 789 —f~~ 14 330 -4- 3 4 = 3) 468 957 + 269 + 44 + 5 + 10 300 + 569 + 188 + 200 600 + 8 + 77 = 4) 564 + 18 + 310 620 + 3 + 198 + 33 + 169 + 22 709 +17 + 304 296 = 5) 124 800 + 7369 + 5009 + 29 + 143 + 11 + 76 + 105 210 + 123 + 5 432 = 6) 4000 + 270 + 980765 + 2 + 127 + 3OOO + 763 700 + 46 + 189 + 4 880 = 8) 7 523 004 7) 6 480 713 9) 768 2 003 805 306 940 16 904 7 416 329 63 872 4090 830 5 830 072 4 600 65 1 050 304 109 7 8 200 948 76 406 051 6 395 004 4 288 2 040 680 35 70 840 5 736 810 270 213 986 7 403 709 8 409 609 157

10) 6 219 400 + 97 + 850 940 +133 + 2 780 + 54 + 660 890 + 13 004 + 8 + 299 = 11) 51 459 + 7 229 580 + 130 + 5769 + 16 + 3200 + 15 430 + 220 + 4 + 6 890 080 = 12) 67 + 183 + 16 840 + 3 009 482 + 7 + 122 904 + 583 073 + 13 + 449 + 62 819 = 13) 4 623 + 1 200 300 + 17 460 + 59 + 3 + 2 819 + 104 035 + 673 + 18 + 2 936 = 14) 8517 930 + 2 694 + 550900 +14 + 396 + 8 + 77 + 368 + 406 709 + 226 = 15) 13 482 920 + 114 840 + 17 + 5 208 709 + 59 + 6 780 368 + 13 709 + 199 + 6 + 6 840 =

II. Subtraktion. Beispiel: 2 764 — 1352 1412 16) 9 856 17) 7 346 18) 5 814 19) 7 685 20) 8925 21) 6879 — 3 425 — 4 132 — 2 102 —3 455 — 612 —468

7 952 — 5 311 = 8 765 — 4 232 = 9 424 — 6 221 = 8 307 — 5 106 = 6 540 — 2 330 =

6) 7) 8) 9) 10)

5 432 — 4 212 = 7 096 — 5 074 = 4380 — 2160 = 5 097 — 3 084 = 9 008 — 7 007 =

28 935 — 14 523 = 59 279 — 27 043 = 38 668 — 15 405 = 54 097 — 2 046 = 60 805 — 502 =

16) 17) 18) 19) 20)

26 987 — 56 700 — 68 421— 79 906 — 85 094—

153 642 — 121520 = 604 939— 2 717 = 983 720— 41610 = 670 853— 50421 = 764009 — 3 004 =

26) 27) 28) 29) 30)

843 260 — 321 050 = 905 096— 4 075 = 364 069 — 22 046 = 457 823 — 304 702 = 509 204 — 7 103 =

1) 2) 3) 4) 5) 11) 12) 13) 14) 15)

21) 22) 23) 24) 25)

14 562 = 3 400 = 5 301 = 802 = 3 063 =

Beispiele: 10

10

1) 26.09.0 — 2 74 8 23 34 2

32) 6 507 — 3 264

31) 8 640 — 3 526 34) 37 084 — 4 813

2) 9.07.0 4 63 9 4 431

35) 45 680 —31 423

37) 9 640 — 4 328 = 38) 17 060— 4 723 = 39) 7 084— 4 813 = 40) 45 680— 31423 = 41) 6 507 — 3 264 = 42) 536 090— 13 746 = 43) 87 908— 26 374 = 44) 5 680 — 329 = 45) 1073 084 — 461 723 = 46) 8 070 — 4 7 26 =

33) 4093 — 2 741

36) 867 320 — 42:18

47) 3 607 038 — 462 314 32 416 48) 70 630 — 42 617 49) 506 030 — 273 50) 63 406 — 51) 9 080 736 — 3 948 614 52) 9 080 — 2 435 53) 4070 308 — 643 281 54) 8 342 10 693 — 7 608 — 543 55) 7 647 56) 428 090 —

Beispiele: 12

1)

11

68.3 4.16 — 183 74 66 5 042

2) 8 3.54 — 4 2 91 4 0 63

11) 1 293 452 — 491 837 = 12) 428 070 — 19 436 = 8 094 — 837 = 13) 7 684 — 2 837 = 14) 15) 438 206 — 72 184 = 16) 4 416 280 — 4 963 = 17) 7 860 — 948 = 77 124 — 26 913 = 18) 19) 509 213 — 74 609 = 20) 144 271 — 72 839 =

4 862— 1 439 = 45 463 — 1 392 = 2) 3) 7 043 681 — 4 921 247 = 4) 625 034 — 512 617 = 73 038 — 429 = 5) 9 482 — 4 739 = 6) "0 3 706 204 — 394 881 = 3 284 = 8) 186 318 — 6 051 — 738 = 9) 22 493 — 1746 = 10)

Beispiele: 12 10 11

1) 8.3.1.1 —6923 1388

21) 79 411 — 22) 41 216 — 23) 84 523 — 24) 162 412 — 25) 1 573 218 — 26) 782 314 — 27) 4 234152 — 1 28) 8 412 — 17 625 — 29) 30) 224 842 —

23 894 = 37 684 = 3 549 = 48 156 = 938149 = 45 618= 463 968 = 7 923 = 8 537 = 5 938 =

2) 45.3.2.3 — 367 8 416 45 31) 471243 — 81 946 = 32) 2 714 312 — 128 913 = 33) 732 844 — 6 479 = 65 327 — 8194 = 34) 35) 761 852 — 432 973 = 36) 2 713 315 — 946 219 = 37) 317 852 — 164 897 = 38) 4 613 — 2 984 = 39) 76 312 — 19 358 = 40) 1 212 619 — 516 973 =

1

1

Beispiele:

1) 7 6.0.0 — 4346 3254

41) 70 084— 32146 = 42) 560 000 — 234 983 = 43) 1 500 300 — 732 948 = 44) 9 000 — 4213 = 45) 76 000— 14 320 = 46) 242 000 — 176 321 = 47) 500 638 — 14 829 = 48) 4 006 318 — 213 481 = 49) 16 080— 9 814 = 50) 8 000— 4612 =

2)

2.1.0.0.4.0 156374 53666

51) 1050007 — 732 164 = 52) 516 300 — 434 953 = 17 800 — 53) 8 364 = 54) 5 638 = 9 000 — 35 000 — 55) 16 728 = 20 000 — 56) 18 640 = 57) 740 080 — 26 357 = 58) 4 200 630 — 1 632 847 = 59) 18 300 — 8 490 = 60) 213 000 — 14 857 =

2) 3) 4) 5) 6) 7) 8) 9) 10)

21) 22) 23) 24) 25) 26) 27) 28) 29) 30)

Wiederholungsaufgaben. 11) 13 260—10 245 6 718 — 2 834 = 12) 76 481 — 32 870 9 400 — 3 245 = 2 030 — 1 568 = 13) 87 300 — 75 324 14) 18 036 — 12 480 9 564 — 5 321 = 8 000 — 6 329 = 15) 97 350 — 54 852 16) 52 000 — 27 348 3 600 — 2 460 = 5 818 — 3 544 = 17) 27 803 — 14 932 18) 86100 — 53 408 7 060 — 6 450 = 8 145 — 6 000 = 19) 36 507 — 25 982 2 706 — 1 458 = 20) 88 900 — 73 644

523 680 — 165 945 = 208 950 — 108 562 = 700000 — 326 917 = 613 009 — 528 628 = 750008 — 352 719 = 398 496 — 103 845 = 279 003 — 124 200 = 608 903 — 456 987 = 763004 — 293 856 = 897 600 — 462 903 =

31) 32) 33) 34) 35) 36) 37) 38) 39) 40)

1 263 890 — 239 462 = 8 559 = 7 200 800 — 77 812 = 3 560 940 — 395 = 5 000 000 — 8 946 300 — 1216 830 = 57 963 = 2 607 030 — 4008129 — 116 875 = 3 914 = 7 654 321 — 895 = 9 004 002 — 17 975 = 1 563 027 —

Aufgaben für das mündliche Rechnen.

II.

Multiplikation und Division. I. Stufe. Multiplikation.

41.

42.

43.

44.

1 X15 = 2 X 15 = 3X15 = 4X15 = 5X15 = 6X15 = 7X15 = 8X15 = 9X15 = 10 X 15 =

3X15 = 9X15 = 5X15 = 7X15 = 1X15 = 4X15 = 6X15 = 10 X 15 = 2 X 15 = 8X15 =

1X16 = 2X16 = 3X16 = 4X16 = 5X16 = 6 X 16 = 7X16 = 8X16 = 9X16 = 10 X 16 =

9X16 = 7X16 = 4X16 = 10X16 = 2X16 = 6X16 = 1X16 = 5X16 = 3X16 = 8X16 =

48.

46.

47.

1 X24 = 2X24 = 3X24 = 4X24 = 5X24 =

6 X 24 = 7X24 = 8 X 24 = 9 X 24 = 10X24 =

7 X 24 = 2 X 24 = 10X24 = 3 X 24 = 8 X 24 =

48. 1X24 = 6 x 24 = 4X24 = 9X24 = 5X24 =

3.

4.

4X25 = 9X25 = 7 X 25 = 1 X 25 = 3X25 =

8X25 = 5 X 25 = 2 X 25 = 10X25 = 6 X 25 =

2.

1. 1X25 = 2x25 = 3X25 = 4x25 = 5 X 25 =

6 X 25 = 7 X 25 = 8X25 = 9X25 = 10 X 25 =

1

Division.

6.

7.

8.

112:16 = 64:16 = 160:16 = 96:16 = 144:16 = 80:16 = 32:16 = 128:16 = 16:16 = 48: 16 =

168:24 = 72:24 = 216:24 = 96:24 = 240 : 24 = 24: 24 = 120: 24 = 192:24 = 48 : 24 = 144:24 =

150:25 = 75:25 = 200:25 = 50:25 = 175:25 = 250: 25 = 100:25 = 25:25 = 225:25 = 125:25 =

S. 45:15 = *) 60:15 = 105: 15 = 150:15 = 15:15 = 120:15 = 75:15 = 135:15 = 30:15 = 90:15 =

Stufe. Multiplikation. Beispiel: 8x78 = ? 8X70 = 560 8X 8= 64 8X78 = 624

9.

10.

11.

12.

13.

i X o3 — 8X64 = 3X92 = 5X48 = 7X79 = 4X87 = 9X45 = 6X63 = 4X85 = 8X67 =

6X68 = 9X77 = 5X98 = 7 X 46 = 3X86 = 8X39 = 5X59 = 4X67 = 7X 73 = 8x85 =

5X94 = 6x59 = 9X98 = 7X36 = 6X88 = 8X65 = 9 X 74 = 5 X 49 = 7X63 = 9X84 =

6X95 = 9X83 = 5X87 = 8X46 = 4 X 96 = 8X63 = 9X47 = 6 X 38 = 8X59 = 5X97 =

9X59 = 8X87 = 7X74 = 9X96 = 6X47 = 4X98 = 7X56 = 8X78 = 6X49 = 9X94 =

Division. Beispiele: 1) 355 : 5 = ? 2) 483 : 7 350 : 5 = 70 420: 7 5:5= 1 63:7 355 : 5 = 71 483:7

=? = 60 = 9 = 69

1.

2.

3.

4.

243 : 3 = 205:5 = 284:4 = 366:6 = 819:9 = 155:5 = 128:2 = 328:4 = 455: 5 = 549 :9 =

728:8= 248:4 = 186:2 = 219: 3 = 306:6 = 729:9 = 408: 8 = 305:5 = 276:3 = 186:6 =

426: 6 = 204:4 = 568: 8 = 124:4 = 546:6 = 459: 9 = 168:4 = 164:2 = 364:4 = 567 : 7 =

270:5 = 336:7 = 432:8 = 255: 3 = 702:9 = 399:7 = 177:3 = 230:5 = 658:7 = 768:8 =

S.

6.

7.

8.

384:4 = 470 : 5 = 343: 7 = 243: 9 = 192 :4 = 237 : 3 = 704:8 = 425 : 5 = 438: 6 = 231 : 3 =

600:8 = 304:4 = 873:9 = 525:7 = 260:5 = 258:3 = 756:9 = 356:4 = 776:8 = 588:6 =

297 :3 = 504:9 = 290:5 = 344:8 = 228: 3 = 539:7 = 621:9 = 664:8 = 285:5 = 336: 7 =

282: 3 = 616:8 = 395:5 = 294:6 = 512:8 = 288:3 = 891:9 = 693:7 = 264:4 = 258:6 =

3. Stufe. Multiplikation. Beispiel: 3 x 189 = ? 3x100 = 300 3 X 80 = 240 3 X 9= 27 3 X 189 = 567

9.

10.

11.

12.

3 X 218 = Gx 135 = 2 X 379 = 4 X 225 = 6X143*=

3x316 = 2 X 167 = 7x113 = 4 X 249 = 3X192 =

5 x 153 = 8 X 125 = 2X416 = 4 X 137 = 7 X 129 =

3 X 278 = 6x 119 = 2 X 395 = 7 X 142 = 4X 164 =

1. 2X159 = 8 X 123 = 5 X 157 = 7 X 136 = 3 X 197 =

2. 6 x~165 = 4X213 = 2 X 428 = 5X179 = 7X127 =

3 5X166 = 2 X 397 = 8X114 = 3 X 237 = 6 X 118 =

4. 4 X 186 = 2X279 = 8x 123 = 3 X 196 = 5X 155 =

Division. Beispiele:

1) 705 : 5 = ? 500: 5 = 100 200:5= 40 5:5 = 1 705 : 5 = 141 5. 6. 352:2 = 364:2 = 516:3 = 534: 3 = 905:5 = 704:4 = 987 :7 = 635:5 = 644:4 = 570:2 = 906: 6 = 959:7 = 932:4 = 782: 2 = 655:5 = 585: 3 = 576: 3 = 992:8 = 756:2 = 548:2 =

2) 936 : 4 = ? 800:4 =: 200 120:4 =: 30 16:4 =: 4 936:4 -234 7. 8. 973 :7 = 616:4 = 894:6 = 795: 3 = 984:8 = 915:5 = 745:5 = 398: 2 = 708:4 = 804:6 = 596: 2 = 796:4 = 940:5 = 938: 7 = 980:5 = 894:3 = 882:6 = 762:6 = 536:2 = 858:3 =

4. Stufe. Multiplikation. Beispiele:

1)

3) 30 X 26 = ? 2) 27 X 20 = ? 30 X 20 = ?*) 20 X 20 = 400 30 X 20 = 600 30 X 10 = 300 7X20 = 140 30 X 6 = 180 300 X 2 = 600 30 X 26 = 780 27 X 20 = 540 30 X 20 = 603 10. 11. 9. 12. 20 X 20 = | 14X10 = 27 X 20 = 10X10 = 17 X 40 = 30 X 30 = I 17x10 = 20X10 = 40 X 20 = j 25 X 10 = 14X60 = 10 X 70 = 13X70 = 20 X 50 = i 37X10 = 50 X 10 = 12 X 80 = 10X80= | 49 X 10 = 10X90 = 73X10 = 42 X 20 = 30 X 10 = i 30 X 20 = 54X10 = 25 X 40 = 10X80 = I 20 X 40 = 10X30 = 13 X 60 = 40 X 10 = 68 X 10 = 20 X 30 = i 86X10 = 28 X 30 = 10x60 = 19X40 = 50 X 20 = ; 95 X 10 = 100X10 = *) 20 = 10 x 2; also ist 30 X 20 = 30 X 10 X 2.

1.

2.

3.

4.

15X40 = 14 X 70 = 16X30 = 29 X 20 = 16x60 = 18x40 = 35X20 = 26 X 30 = 25 X 40 = 47X20 =

30X26 = 20 X 27 = 40 X 16 = 20 X 19 = 50 X 18 = 70X13 = 40 X 24 =s 20 X 17 = 50X19 = 30 X 28 =

20 X 43 = 30 X 25 = 70X14 = 40 X 19 = 20 X 38 = 60X14 = 30 X 29 = 40 X 17 = 20 X 29 = 30X16 =

30 X 15 = 70 X 12 = 40 X 13 = 20 X 26 = 60 X 13 = 50 X 15 = 20 X 46 = 30 X 27 = 20 X 35 = 50X17 =

i

Division. Beispiele:

2) 360: 20 = ? 200 : 20 = 10 160:20 = 8 360:20 = 18

1) 280: 20 = ? 200 : 20=10 80:20 = 4 280 : 20=14

5.

6.

100:10 = 700:10 = 900:10 = 400:10 = 600:10 = 200:10 = 800:10 = 300:10 = 1000: 10 = 500:10 =

400 : 20 = 1000 : 20 = 600 : 30 = 800 : 40 = 200 : 20 = 1000:50 = 300:30 = 800:20 = 400 : 40 = 600 : 20 =

9.

10.

360:20 = 480:30 = 960:80 = 560 : 40 = 540:20 =

8.

7.

800:50 = 450 : 30= 900: 50 = 380:20 = 780:60 =

280 : 20 = 390:30 = 840 : 40 = 460:20 = 550:50 = 630:30 = 880:20 = 990:30 = 260:20 = 770:70 =

140:10 = 370:10 = 440: 10 = 560:10 = 920:10 = 170: 10 = 730:10 = 250:10 = 680:10 = 140:10 =

! i '

11.

12.

520:20 = 900 : 60 = 540:30 = 910:70 = 720:20 =

750:30 = 850:50 = 720:40 = 980:20 = 860:20 =

5. Stufe. Multiplikation. Beispiele: 2) 70X80 = ?

1) 2X630 = ? 2 X 600 = 1200 2 X 30= 60 2x630=1260

70 X 10 = 700 700 X 8 = 5600 70 X 80 = 5600

1.

2.

2x700 = 3 x 500 = 8 x 400 = 9 X 300 = 5 X 600 = 7x900 = 4 x 800 = 6 X 300 = 3X700 = 8 x 600 =

2 X 630 = 4 x 940 = 7 X 270 = 9 X 320 = 3 x 580 = 8 X 460 = 5 X 290 = 7 X 320 = 6x540 = 4 X 750 =

5.

4.

3.

70X80 = 30X50 = 40 X 60 = 80 X 90 = 30 X 70 = 60 X 80 = 90 X 40 = 50 X 60 = 70 X 50 = 30 X 80 =

5 X 350 = 3 x 690 = 7 x 430 = 2 x 870 = 9 X 440 = 4 x 630 = 6 X 380 = 8 X 270 = 5 X 620 = 7 X 460 =

60 X 50 = 40x70 = 30 x 90 = 50 X 80= 80 X 30 = 40X40 = 90X70 = 70X60 = 20 X 90 = 80x50 =

Division.

Beispiele: 1) 1 280 : 2 = ? 2) 1 540: 2 = ? 1 200: 2 = 600 1 400: 2 = 700 80:2= 40 140:2= 70 1 280 : 2 = 640 1 540:2 = 770

6.

7.

8.

9.

10.

3500:5 = 4 800 : 8 = 1 200: 4 = 1 800 : 9 = 1 600: 2 = 2 500:5 = 6 300: 7 = 2 700:3 = 3 600:6 = 6 400 : 8 =

1 280: 2 = 3 570: 7 = 4 080: 8 = 1 640: 2 = 4 590: 9 = 2 760:3 = 3 050: 5 = 1 860: 2 = 2 480:4 = 4 270: 7 =

1 540 : 2 = 2 340: 3 = 4 380: 6 = 2 160:4 = 5 200 : 8 = 3 800:5 = 5 040: 9 = 1 960: 2 = 2 340: 6 = 2 820: 3 =

2 040: 3 = 4 340: 7 = 3160:4 = 1 504 : 8 = 1 776:2 = 1 485 : 9 = 3 965 : 5 = 4 356 : 6 = 2 956 : 4 = 4 632 : 8 =

2 400 : 60 = 1800:30 = 6 300: 70 = 2 800 : 40 = 8100:90 = 3 000 : 50 = 1 600:20 = 5 600 : 80 = 4 200:70 = 2100:30 =

Aufgaben für das schriftliche Rechnen.

III. Multiplikation. 11) 765 X2

17) 562 X8 22) 3748 X5

12) 938 X3

13) 685 X4

18) 346 X9

23) 6 529 X6

14) 876 X5

19) 2317 X2

24) 7 394 X7

15) 492 X6

20) 4536 X3 25) 8056 X8

16) 747 X7

21) 8145 X4 26) 6 309 X9

1) 13 709 X 2, 3, 2) 209 508x2, 3, 3) 1 543 722 X 2, 3, 4) 4 203 859 X 2, 3, 5) 885 372X2, 3, 6) 634 089X2, 3,

1)

7) 2 857 X 20

5, 5, 5, 5, 5, 5,

6, 7, 8, 6, 7, 8, 6, 7, 8, 6, 7, 8, 6, 7, 8, 6, 7, 8,

9= 9= 9= 9= 9= 9=

Beispiele: 4 865 2) 13 420 X 70 X 50 340 550 671000

8) 5 642 X 50

12) 28 5617 X 810

4, 4, 4, 4, 4, 4,

9) 13 958 X 70

13) 12 836 X 40

14) 77 548 X 60

li0) 17 471 X 90

15) 8 640 X 30

1 1) 32 693 X 30

16) 7 970 X 50

17) 3 580 18)2 960 19)24 070 20) 63 580 21) 52 700 22) 93 600 X 70 X 40 X 60 X 90 X 20 X 80

■23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42)

438 X 10, 795 X 10, 6 804 X 10, 9 437 X 10, 5 628 X 10, . 14 209 X 10, 56 042 X 10, 43 683 X 10, 76 542 X 10, 103 208 X 10, 470 836 X 10, 234 057X10, 562 109 X 10, 305 824 X 10, 370 X 10, 6 850 X 10, 9 430 X 10, 13 270X10, 44 820 X 10, 207 400 X 10,

20, 30,, 40, 50, 60, 70, 80, L>0 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 = 20 bis 90 =

1) 6 734 X 300

2) 8 972 X 700

3) 46 374 X 900

4) 85 360 X 600

5) 74 030 X 200

6) 60 530 X 400

7) 97 650 X 800

8) 29 500 X 500

9) 17 060 X 600

10) 94 300 X 800

11) 64 530 X 700

12) 12 468 X 400

14) 2 785 X 2 000

13) 4 293 X 5 000

15) 9 374 X 8 000

7 684 X 200, 300, 400 bis 900 = 5 039X200, 300, 400 bis 900 = 8 621X200, 300, 400 bis 900 = 1 573 X 2000, 3000, 4000 bis 9000 = 3 059X2000, 3000, 4000 bis 9000 = 6 287 X 2000, 3000, 4000 bis 9000 =

18) 19) 20) 21) 22) 23)

Beispiele: 2) 1 609 X 324 6 436 3218 482 7 521 316 26) 385 X 38

1) 783 X 47 5 481 31 32 36801

24) 548 X 23

25) 927 X 59

29) 6 719 X 75

30) 3 579 X 28

34) 975 X 35) 6 238 X 36) 3 506 X 37) 5 670 X 38) 18 290 X 39) 16 008 X

40) 41) 42)

17) 7 203 X 6 000

16) 3 958 X 4 000

372 X 3 958 X 5 072 X

a) a) a) a) a) a)

37 34 38 27 53 32

31) 4 682 X 36 b) b) b) b) b) b)

a) 265 a) 792 a) 185

48 45 43 36 87 26

c) c) c) c) c) c)

b) 743 b) 468 b) 336

3) 7 432 XI 350 371600 2 229 6 7 432 10033 200 27) 692 28) 816 X 71 X 86 — 32) 8364 33) 5 276 X 49 X 93

59 d) 56 d) 54 d) 47 d) 29 d) 57 d)

c) 158 c) 173 c) 725

64 69 63 58 74 78

e) e) e) c) e) e)

73 78 76 67 49 95

d) 717 d) 594 d) 162

f) f) f) f) f) f)

86 = 92 = 89 = 96 = 54 = 64 =

e) 342= e) 629 = e) 885 =

1) 6 804 X 2) 20 386 X 3) 74 051 X

a) 344 a) 567 a) 295

4) 3 542 X 5) 7 630 X 6) 8 095X 7) 4 307 X 8) 15 254 X 9) 23 891 X

a) a) a) a) a) a)

10) 11) 12) 13)i 14) 14)

b) 671 b) 329 b) 599

5 423 1548 2717 8 492 3 624 2 758

b) b) b) b) b) b)

c) 542 c) 475 c) 784

1 618 2 394 6 543 9 742 1 275 8 642

c)