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German Pages 43 [49] Year 1904
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Rechenbuch für Vorschulen. In drei Heften herausgegeben von
I. Augsburger, Lehrer am König!. Luisen-Gymnasium zu Berlin.
Heft III. Mündliche und schriftliche Übungen im unbegrenzten Zahlenraum. Resolvieren und Reduzieren.
Fünfte Auflage.
Berlin, 1903. Druck und Verlag von Georg Reimer.
Rechenbuch für Vorschulen.
In drei Heften
herausgegeben von
I. Augsburger, Lehrer am König!. Luisen-Tymnasium zu Berlin.
Heft HI. Mündliche und schriftliche Übungen im unbegrenzten Zahlenraum. Resolvieren und Reduzieren.
Fünfte Auflage.
Berlin, 1903. Druck und Verlag von Georg Reimer.
Der Znhlenkreis von 1 Lis 1000 und der unbegrenzte Znhlenkreis. Aufgaben für das mündliche Rechnen.
I.
Addition und Subtraktion.
1.
Ausgabe:
Stufe. Addition.
Beispiele: 1) 308 + 405= ?
Lösung: folglich: 308 + 405=713
1.
2.
3.
108 +106 = 104+109 = 203 + 107 = 209 + 208 = 305 + 607 = 406 + 205 = 507 + 403 = 208 + 309 = 804+108 = 609 + 307 =
105 —f— 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 =
3.
6.
7.
206 + 130 = 405 + 260 ----307 + 630 = 501 + 290 = 708 + 140 = 609 —H 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 =
Beispiel: 340 + 250=? 340 + 200 = 540 540+ 50 = 590 340 + 250 = 590
1. 160 + 130 = 150 + 120 = 130 + 150 = 210+170 = 250 + 230 = 310 + 450 = 670 + 220 = 480 + 510 = 240 + 350 = 520+130 =
3
2. 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 =
4. 350 + 230 = 680 + 110 = 530 + 260 = 320 + 340 = 170 + 220 = 450 + 330 = 640 +150 = 220 + 670 = 830 + 140 = 120 + 360 =
Subtraktion.
Beispiel: 817 — 308 = ? 817 — 300 = 517 517 — 8 = 509 817 — 308 = 509
8.
6.
7.
8.
416--209 = 815--407 = 712--208 = 917--609 = 211 --104 = 314--206 = 513--105 = 415 --309 = 912 -- 707 = 614--308 =
749--409 = 874--504 = 228--108 = 573-- 203 = 319--109 = 483--203 = 666--406 = 947--707 = 556--306 = 279--109 =
312--107 = 738--408 = 811--404 = 673--303 = 316--207 = 983--603 = 512--305 = 448--308 = 216--107 = 823--603 =
615--209 = 257 -- 107 = 911--604 = 329--109 = 613--207 = 776--406 = 518--309 = 844--604 = 217--108 = 954--704 =
Beispiel: 780 — 350 = ? 780 — 300 = 480 480— 50 = 430 780 — 350 = 430
1.
2.
250 —130 ----370 — 160 = 860 — 420 = 540 — 210 = 660 — 330 = 790 — 560 = 480 — 230 = 850 — 720 = 390 — 270 = 640 — 410 =
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 =
4. 950 — 420 = 760 — 310 = 340 — 110 = 680 — 560 = 290 —120 ----960 — 640 = 590 — 380 = 640 — 220 = 770 — 460 = 930 — 610 =
9. Stufe. Addition. Beispiele: 2) 436 4- 240 == ? 436 + 200 == 636 636 4- 40 == 676 436 + 240 == 676 247 + 323 == ? 247 4- 300 ==547 547 4- 20 == 567 567 4- 3 == 570 247 + 323 == 570
230 + 359 = ? 230 + 300 = 530 530+ 50 = 580 580+ 9 = 589 230 + 359 = 589 4) 448 + 329 = ? 448 + 300 = 748 748+ 20 = 768 768+ 9 = 777 448 + 329 = 777
5.
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 + 235 = 451 + 118 = 347 + 421 = 875 +123 -----
462 + 316 = 716 +142 = 534 + 244 = 256 + 432 = 733 +156 =
1.
2.
3.
4.
203 + 147 = 405 + 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 -----
616 + 204 = 252 + 608 = 423 +107 = 514 + 406 = 748 + 202 -----
3.
6.
7.
8.
124 + 236 = 219 + 441 = 435 +155 = 748+132 = 362 + 418 = 811 +129 = 553 + 237 = 627 + 163 = 246 + 524 = 351 + 319 =
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 — 608 + 325 = 107 + 216 = 509 + 244 = 606 +128 = 305 + 249 = 707 +137 =
245 +129 = 137 + 316 = 258 + 235 = 634+127 = 516 + 218 = 328 + 346 = 445 + 227 = 827 +119 = 274 + 418 = 628 + 233 =
Subtraktion. Beispiele: 1) 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 3) 790 — 537 = ? 790 — 500 = 290 290— 30 = 260 260— 7 = 253 790 — 537 = 253
4) 482 — 258-= ? 482 — 200:= 282 282— 50-= 232 232— 8-= 224 482 — 258-= 224
9.
10.
11.
12.
293 — 160 = 548 — 320 = 769 — 450 = 337 — 110 = 473 — 360 = 851 — 630 = 695 — 270 = 368 —150 = 754 — 420 = 389 — 160 =
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 ----399 — 234 =
780 — 308 = 690 — 406 = 230 — 103 = 470 — 209 = 750 — 604 = 580 — 305 = 320 —107 = 990 — 709 = 670 — 402 = 430 — 208 =
1.
2.
3.
4.
940 — 624 = 780 — 436 = 470 — 218 = 650 — 325 = 290 —169 == 530 — 217 = 880 —156 = 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 =
648 —107 = 934 — 722 = 390 — 206 = 680 — 414 = 533 — 308 = 796 — 529 = 367 — 104 = 248 —125 = 640 — 307 = 975 — 608 =
8. Stufe. Addition. 1)
Beispiele: 70 + 80 = ? 2) 70 + 30 = 100 100 4-50 = 150 70 + 80=150
3.
6.
304-80 = 70 4-60 = 40 4-90 = 60 4-60 = 20 4-90 = 60 4-90 = o0 4- 80 = 40 4-70 = 60 4-80 = 70 4-90 =
80 + 50 = 40 + 80 = 50 + 90 = 70 + 70 = 80 + 40 = 60 + 70 = 90 + 50 = 30 + 90 = 80 + 60 = 60 + 50 =
360 4-490 = ? 360 4- 400 = 760 760 4- 90 = 850 360 4-490 = 850
7. 140 + 60 = 270 + 30 = 450 + 50 = 760 + 40 = 320 + 80 = 610 + 90 = 980 + 20 = 530 + 70 = 790+10 = 370 + 30 =
8. 170 + 60 = 280 + 50 = 740 + 90 = 390+70 = 560 + 80 = 870 + 40 = 660 + 90 = 480 + 30 = 750 + 60 = 840 + 80 =
9.
10.
11.
12.
560 4-70 = 370 + 80 = 890 + 50 = 450 + 60 = 760 + 70 = 280 + 90 = 860 + 50 = 590 + 30 = 160 + 60 = 380 + 50 =
360 + 50 = 580 + 70 = 790 + 20 = 250 + 90 = 870 + 60 = 640 + 80 = 190 + 30 = 860 + 70 = 350 + 90 = 270 + 40 =
130 + 180 = 250 + 580 = 360 + 260 = 480 + 190 = 270 + 480 = 150 + 160 = 590 + 240 = 370 + 180 = 680 + 290 = 160 + 450 =
260 + 480 = 170 + 350 = 540 + 270 = 750 +190 = 180 + 490 = 370 + 380 = 660 + 270 = 490 + 120 = 280 + 540 = 760 + 170 =
Subtraktion. Beispiele: 1) 160 — 90 = ? 2) 550 — 380 = ? 160 — 60 = 100 550 — 300 = 250 250 — 80 = 170 100 — 30= 70 160 — 90= 70 550 — 380 = 170
1.
2
3.
100 — 70 = 200 — 50 = 400 — 60 = 300 — 90 = 700 — 60 = 1000 — 40 = 600 — 10 = 500 — 30 = 800 — 80 = 900 — 20 =
100 — 40 = 400 — 70 = 700 - 50 = 900 — 80 = 300 — 20 = 500 — 40 = 1000 — 90 = 600 — 30 = 200 — 70 = 800 — 60 =
150 — 60 = 130 — 70 = 110 — 30 = 160 — 80 = 140 — 50 = 120 — 70 = 170 — 90 = 150 — 80 = 180 — 90 = 120 — 40 =
4. 240 — 80 = 420 — 90 = 750—70 = 370 — 80 = 810 -70 = 540 — 50 = 250 — 80 = 630 — 50 = 340 — 70 = 810 — 90 =
3.
6.
7.
8.
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 =
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 =
1. Stufe. Addition. Beispiele: 70 + 58 = ? 2) 1) 70 + 50= 120 120+ 8 = 128 70 + 58=128
440 + 295 == ? 440 + 200 == 640 640+ 90 == 730 730 + 5 == 735 440 + 295 == 735
9.
10.
11.
12.
80 + 74 = 150 + 68 = 70 + 53 = 290 + 85 = 60 + 77 =
340 + 89 = 90 + 48 = 450 + 63 = 50 + 84 = 580 + 92 =
670 + 57 = 30 + 94 = 280 + 36 = 70 + 65 = 790 + 42 =
60 + 83 = 560 + 78 = 90 + 29 = 840 + 94 = 50 + 77 =
1.
2.
3.
4.
340 + 179 = 670 + 245 = 280 + 331 = 160 + 468 = 790 + 126 =
150 + 282 = 370 + 448 = 580 + 143 = 290 + 555 = 660 + 273 =
168 + 290 = 384 + 440 = 752 + 180 = 291 + 330 = 564 + 270 =
357 + 260 = 666 +180 = 495 + 450 = 268 + 370 = 372 + 150 =
Subtraktion. Beispiele: 1) 447 — 70 = ? 2) 559 — 290 = ? 440 — 70 = 370 559 — 200 = 359 370+ 7 = 377 359— 90 = 269 447 — 70 = 377*) 559 — 290 ---- 269
5.
6.
7.
8.
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 = 713 — 90 = 115 — 30 = 246 — 60 = 779 — 90 = 344 — 80 = 622 — 50 =
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 = 934 — 360 = 866 — 590 = 257 —170 = 816 — 630 = 543 — 270 = 778 — 190 = 425—150 =
5. Stufe. 1)
78 + 56 = ? 78 + 50 = 128 128+ 6 = 134 78 + 56 = 134
9. 57 + 82 = 43 + 97 = 78 + 46 = 65 + 73 = 82 + 58 =
Addition. Beispiele: 2) 365 + 85 = ? 365 + 80 = 445 445+ 5 = 450 365 + 85 = 450
10. 29 + 95 = 41 + 86 = 87 + 43 = 68 + 57 = 92 + 34 =
3) 248 + 486 = ? 248 + 400 = 648 648+ 80=728 728+ 6 = 734 248 + 486 = 734
11. 84 + 64 = 27 + 92 = 53 + 87 = 75 + 59 = 81 + 44 =
12. 46 + 74 = 54 + 83 = 66 —H 52 — 83 + 37 = 37 + 91 =
3.
2.
1. 55 + 81 = 48 + 92 = 79 + 58 = 63 + 65 = 77 + 43 =
8. 135 + 82 = 456 + 74 = 528 + 96 = 771 + 54 = 362 + 78 = 245 + 85 = 679 + 48 = 867 + 52 = 184 + 36 = 278 + 58 =
58 + 69 = 32 + 96 = 55 + 75 = 86 + 68 = 49 + 82 =
58 + 76 = 36 + 83 = 74 + 66 = 88 + 55 = 93 + 84 =
62 + 76= 88 + 32 = 75 + 46 = 41 + 83 = 66 + 74 =
6.
7.
8.
146 + 172 = 258 + 282 = 376 +148 = 564 + 263 = 482 + 358 = 197 + 435 = 676 + 183 = 251 + 379 = 488 + 236 = 793 + 144 =
394 +166 = 147 + 388 = 576 + 243 = 358+*2/o— 683 + 154 = 277+463 = 791 + 174 = 435 + 385 = 158 + 279 = 536 + 194 =
268 + 91 = 574 + 86 = 345 + 79 = 884 + 43 = 469 + 81 = 736 + 96 = 582 + 55 = 697 + 63 = 278 + 49 = 443 + 76 =
I
Subtraktion. Beispiele: 156 — 79 = ? 2) 1) 156 — 70=86 86- 9=77 156 — 79= 77
9. 159 — 64 = 155 — 83 = 128 — 44 = 146 — 73 = 179 — 97 = 125 — 32 = 139- 75 = 138 — 84 = 164 — 92 = 149 — 58 =
10. 150 — 84 = 130 — 42 = 180 — 96 = 160 — 85 = 120 — 37 = 140 — 69 = 170 — 88 = 110 — 51 = 150 — 72 = 160 — 93 =
462 — 288 = ? 462 — 200 = 262 262 — 80=182 182— 8 = 174 462 — 288 = 174
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 =
13.
14.
15.
16.
125 — 49 = 243 — 78 = 664 — 97 = 317 — 39 = 924 — 56 =
43588 = 718 — 49 = 251 — 73 = 545 — 87 = 322 — 66 =
326 — 154 = 735 — 483 = 254 —172 = 618 — 425 = 942 — 561 =
438 —186 = 863 — 392 = 355 —171 = 776 — 484 = 515 — 233 =
1.
2.
3.
L.
450 — 276 = 320 —143 = 740 — 357 = 230 — 168 = 550 — 375 =
910 — 638 = 640 — 551 = 330—162 = 460 — 284 = 250 — 195 =
532 —168 = 471 —189 = 313 —135 = 924 — 557 = 636 — 268 =
452 —173 = 817 — 649 = 266 —188 = 554 — 296 = 723 — 345 =
6. Stufe. Addition. Beispiele: 1) 600 + 900 = ? 2) 780 + 970 = ? 600 + 400=1000 780 + 900 = 1680 1000 + 500 = 1500 1680 + 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 + 800 = 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 =
9.
11.
12.
570 + 750 = 630 + 890 = 960 + 560 = 450 + 780 = 880 + 930 = 790 + 550 = 560 + 860 = 940 + 380 = 370 + 970 = 780 + 640 =
850 + 580 = 760 + 460 = 370 + 790 = 540 + 870 = 980 + 630 = 670 + 750 = 350 + 960 = 590 + 620 = 780 + 950 = 870 + 780 =
10.
950 + 320 = 760 + 530 = 820 + 450 = 440 + 820 = 630 + 730 = 920 + 260 = 550 + 840 = 380 + 910 = 730 + 560 = 910 + 670 =
630 + 870 = 480 + 720 = 750 + 850 = 960 + 440 = 570 + 930 = 880 + 520 = 930 + 370 = 470 + 830 = 340 + 960 = 580 + 620 =
Subtraktion. Beispiele: 1) 1700 — 900 = ? 2) 1700 — 700 = 1000 1000 - 200 = 800 1700 — 900= 800
1530-870 = ? 1530 — 800 = 730 730— 70 = 660 1530 — 870 = 660
1.
2.
3.
1200 — 500 = 1700 — 900 = 1100 — 700 = 1400 — 600 = 1800 — 900 = 1400 — 700 = 1300 — 400 = 1200 — 800 = 1100 — 600 = .1200 — 900 =
1350 — 600 = 1470 — 800 = 1130 — 400 = 1780 — 900 = 1520 — 700 = 1670 — 800 = 1230-500 = 1480 — 600 = 1160 — 300 = 1590 — 900 =
1450 — 650 = 1530 — 930 = 1870 — 970 = 1580 — 780 = 1140 — 440 = 1860 — 960 = 1120 — 520 = 1290 — 790 = 1650 — 850 = 1430—730 =
4.
3.
6.
1500 — 830 = 1300 — 470 = 1100 — 390 = 1600 — 940 = 1200 — 560 = 1400 — 810 = 1700 — 930 = 1500 — 620 = 1800 — 990 = 1600 — 850 =
1270 — 850 = 1790 — 930 = 1160 — 420 = 1480 — 760 = 1750 — 810 = 1390 — 570 = 1540 — 620 = 1460 — 950 = .1630 — 810 = 1250 — 530 =
1320 — 570 = 1140 — 460 = 1450 — 790 = 1260 — 680 = 1610 — 960 = 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 = . . 100 000 10 Hunderttausender = 1 Millioner = .... 1000 000 10 Millioner = 1 Zehnmillioner = . . . 10 000 000 10 Zehnmillioner = 1 Hundertmillioner = . 100000 000 10 Hundertmillioner = 1 Tausendmillioner — 1000 000 000 Die Einer (E) . . Zehner (Z) . . Hunderter (H). Tausender (T) .
fi ff
. . . .
. . . .
stehen in der
1 sten Stelle 2 ten 3 ten
Zehntausender (ZT) .
4 ten 5 ten
Hunderttausender (HT) Millioner (M) . . . Zehnmillioner (ZM) .
6 ten 7 ten 8 ten
Hundertmillioner (HM) Tausendmillioner (TM)
9 ten 10 ten
,, :von
rechts nach links
M
r,
und der unbegrenzte Zahlenkreis.
TM HM ZM 10
9
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13
M
HT
ZT
T
H
Z
E
7
6
5
4
3
2
1
5
7
2
8
4
8
9
3
1
4 1 7 8 4 2 In vorstehendes Schema werden die folgenden Zahlen eingetragen, nachdem sie vorher zerlegt und gelesen worden: z. B.: 5 728-= 5 T, 7H, 2Z, 8E. 2. 3. 4. 8. 1. 14 893 7 039 20 340 142 784 5 728 7 964 6 094 57 236 237 950 80066 2 085 528 600 91680 70 000 3 570 6 780 3 007 55 800 450000 30074 8 005 9 900 21906 10 203 700000 5 090 43 007 7 600 385 308 33 040 5 806 9 000 60 384 92 935 926005 2109 4006 50 607 813 070 40 700 7 015 4 800 40080 80036 640 039 7 990 8 762 51601 73 008 200058
6. 306 062 700 803 680004 350 256 190070 820 600 304009 600 005 309 008 500 070
7.
8.
1462 783 5 259 130 8 730 295 2 855 000 7 060 840 3 000 998 4 008 070 9 060 809 6 900024 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 760000 8 375 681 1 802 749
9. 13 251896 26 530 290 40 708 005 95 007 308 51 300 746 72 958000' 32 070408 89 042 700 23 704 809 11095 003
10.
11.
12.
13.
276 538 924 560 320 800 705 803 904 100090080 678 000 432 1964432 000 5 170 004 029 3 528 943 261
2030 700 503 9 008 050 086 4 000 000 57 903 8 400 306 080 15 020 034 107 500
3 008 7 000 628 50207 300 084 277 080590 5 700 308 66 800 4070
603 089 63 081 543 150 240037 1603 408 10040 13 233 878 370 209 080 4 056 309
I. Addition. 5) 2 832 4) 7 790 3) 2 700 2) 3 629 1) 5 700*) 9 466 4 582 3 000 4 853 + 2 890*) 7 800 3 009 5 982 9 076 + 3 482*) 4 280 3 040 8 654 5 007 + 5 034 5 000 8 763 6102 2 685 + 4 509 8007 5 954 3 051 7 060 + 7 008 6 700 4 249 4 268 8 530 + 9 532 2 880 1658 7 690 4 209 + 1680 5 794 5 299 9 247 1237 + 5 426 9 808 3 860 3 426 6 041 + 8190 53 451**) 6) 2 790 + 8 000 + 2 466 + 5 090 + 7 004 +1694 + 5 433 + 2 084 + 7 140 + 9 234 = 7) 7 633 4-5 820 + 4900 + 6 081 4-2 090 + 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 + 7814 + 4206 = 9) 2940 + 5 762 + 8972 + 4070 + 8 262 + 9 365 + 7 993 + 2 685 + 6 403 + 7 009 = 10) 8456 + 9466 + 7030 + 6550 + 8362 + 4268 + 9773 + 1234 + 6400 + 7216 = 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 + 7000 + 8414 + 6124 = 13) 3 368 +1426 + 2 816 + 3 474 + 7 030 + 2119 + 7 008 + 5203 + 9000+7610 = 14) 9 400 + 3 268 + 9 211 + 2 344 +1563 + 5 000 + 2 133 + 7 428 + 5 300 + 1 507 = 15) 7 614 + 8007 + 3426 + 9862 + 4636 + 7 048 + 2990 + 5784 + 3970 + 5018 = 16) 13 728 17) 25 813 18) 42 080 19) 10 932 91468 73 512 77 040 45 818 20 213 26 909 50 800 96 274 47 002 30048 33 659 22 806 32 804 67 532 12 703 74005 16 259 44 819 85 209 36 000 55 638 39 000 70033 57 009 77 400 72 150 64 213 22 818 35 628 19 831 96 485 17 506 12 345 11 502 55 207 28 300
1) 72 344 4-18 660 4- 43 924 4- 80 900 4- 25 406 4-15 639 4-20000 4-65403 4-12 307 4- 56 900 = 2) 41 036 4-50 733 4- 60 008 4- 15 789 4- 32 009 4-19 503 4- 33 684 4- 17 804 4- 23 806 4-60 713 = 3) 10 805 4-19 360 4- 44 631 4- 70 300 4-18 000 4- 21 369 4- 99 804 4-15 123 4- 41 030 4- 77 146 = 4) 25 308 4- 16 908 4- 35 297 4- 23 968 4- 13 200 4- 61 433 4-53 1004- 62 814 4- 50 260 4- 25 840 = 5) 23 000 4- 77 483 4- 16 009 4- 24 833 4- 87 163 4- 12 345 4- 60 038 4- 27 349 4- 10 770 4- 18 512 = 6) 50 800 4- 33 114 4- 60 120 4- 34 620 4- 12 903 4-19 140 4- 41 250 4- 23 667 4- 15 500 4- 70 039 = 7) 96 814 4- 60 080 4- 35 104 4- 20 070 4- 21 818 4-16 900 4-12 349 4-67 400 4-19 876 4-66 904 = 8) 86 402 4- 13 140 4- 10 001 4- 17 406 4- 19 753 4- 19 042 4- 16 938 4-13 192 4- 61 823 4- 33 668 = 10) 5 869 11) 70 340 12) 20 348 9) 7 305 1520 159 237 6 96 495 27 6 009 377 5 7 006 8 42 8613 86 35 3 532 6 98037 268 5 864 41 23 975 9 470 73 466 706 600 8 80 98 25 1207 190 9 41 039 13) 3 740 4- 82 4- 460 4- 9 4- 2 307 4- 48 4- 1005 4- 65 4- 489 4- 1 299 = 14) 466 4- 7 230 4- 88 4- 5 690 4- 7 4- 26 4- 416 4- 6 9OO 4- 659 4- 6 = 15) 5 4-199 4- 3 700 4- 68 4- 290 4- 5 000 4- 673 4-76 4-5 144 4-42 = 16) 91 4-2 794 4-5 4-133 4-5 840-i-6 778 4-400 4-2 4-1997 4-36 = 17) 4 983 4- 2 4- 7 600 4- 8 4- 6 413 4- 276 4- 3 842 4- 11298 4— 16 4— 6 508 — 18) 76 4- 322 4- 8 4-160 4-4836 4-26 4-5 804 4- 296 4- 3 568 4-56 = 19) 15 260 4-3 942 4- 608 4- 18 4- 4 4- 77 642 4- 17 4- 60084 4-94-50206 = 20) 6180 4-39 4-76 235 4-148 4-7 4-1884 4-134- 160 4- 85 4-34 809 = Augsburger, Recheuhest. III. 5. Aug. 2
1) 70492 + 6418 + 196 + 17 + 3 + 62 406 + 908 +1 786 4“ 619 +• 65 — 2) 88 + 4 239 + 53 290 + 49 273 + 16 + 6 + 188 + 37 804 + 2900 + 40 = 3) 46 104+126 + 5038 + 12 + 9 + 930 + 52 + 177 + 59 +13 259 = 4) 6 + 288 + 54 260 + 81 + 633 + 2 + 4 340 + 19 + 4 833 + 70 944 = 7) 219 003 8) 574 862 6) 526 903 5) 104 260 567 986 730040 169 847 259 304 193 715 192 541 406 043 506 800 200 368 847 436 270 400 700 090 904 203 260080 135 680 456 793 534 173 116 800 246 914 260054 307 418 703 268 400 600 186 409 217 844 793 085 870 306 215 460 100 500 138 179 714 200 919 736 217 483 648 155 183 640 408 090 9) 125 615 + 304 819 +102 889 + 200 053 + 761800 + 337 060 + 459 281 + 610 008 +152 408 + 387 407 = 10) 220 703 + 562110 + 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 + 121347 + 198 784 + 204 207 + 987 006 + 640 832 + 735 080 = 13) 362179 + 261 653 + 223 671 + 861500 + 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 + 471640 + 216 384 + 388 000 + 963 805 + 472 843 + 837 400 + 847 612 + 706 042 + 406 030 = 20) 200 800 19) 16 807 17) 209 408 18) 49 17 635 204090 57 053 6 030 4009 3 245 107 468 6189 681 673 259 704 72 5 46 300 59 4 200783 49 3 35 322 948 9 247 206 5 600 354 5020 4 355 25 17 933 62 670 809 149 4 830 208 469
1) 460 920 + 170 + 3 508 + 440 + 200 509 + 17 800 + 1935 + 7 + 30050 + 77 880 = 2) 68 + 8 +199 + 5 000 + 43 672 + 174 009 + 23 + 406 789 +17 330 + 37 = 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 + 7 369 + 5 009 + 29 +143 + 11 + 76 + 105 210 + 123 + 5432 = 6) 4 000 + 270 + 980 765 + 2 + 127 + 3 000 + 763 700 + 46 +° 189 +* 4 880 = 9) 768 7) 6 480 713 8) 7 523 004 16 904 306 940 2 003 805 7 416 329 63 872 4090 830 4 600 65 5 830072 109 1 050 304 7 76 406 051 8 200 948 4 6 395 004 288 70 840 2040 680 35 270 213 986 5 736 810 157 7 403 709 8 409 609 10) 6 219 400 + 97 + 850 940 +133+2 780 + 54 + 660 890 H— 13 004 -f— 8 4* 299 = 11) 51 459 + 7 229 580 + 130 + 5 769 +16 + 3 200 +15 430 + 220 + 4 + 6 890 080 = 12) 67 + 183 + 16840 + 3009 482 + 7 +122904 + 583073 -H 13 H— 449 *4™ 62 819 13) 4 623 + 1200300+ 17460 + 59 + 3 + 2 819 + 104035 + 673 + 18 + 2 936 = 14) 8 517 930 + 2694 + 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*) — 1 352**)
16) 9 856 17) 7 346 18) 5 814 19) 7 685 20) 8 925 21) 5 879 — 3 425 — 4 132 — 2 102 — 3 455 — 612 — 468 ') Minuendus.
**) Subtrahendus.
“*) Rest oder Differenz.
2*
7 952 — 5 311 = 8765 — 4232 = 9 424 — 6 221 = 8 307 — 5 106 = 6 540 — 2 330 =
6) 7) 8) 9) 10)
5 432 — 4212 = 7 096 — 5074 = 4 380 — 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 —14 562 = 56 700 — 3 400 = 68 421 — 5 301 = 79 906 — 802 = 85 094 — 3 063 =
153 642 — 121 520 = 604 939 — 2 717 = 983 720— 41610 = 24) 670 853— 50 421 = 25) 764009— 3 004 =
26) 27) 28) 29) 30)
843 260 — 321050 = 905 096 — 4 075 = 364069— 22 046 = 457 823 — 304 702 = 509 204 — 7 103 =
1) 2) 3) 4) 5)
11) 12) 13) 14) 15)
Beispiele: 10 10
1) 26.09.0 — 2748 23 34 2
32)7 908 — 3 264
31) 8640 — 3 526 34) 37 084 — 3 771
2) 9.07.0 — 4639 4431
35) 45 680 — 31 423
9 640 — 4 328 = 37) 17 060 — 4 723 = 38) 7 084 — 4 813 = 39) 79 860 — 31 423 = 40) 6 507 — 3 264 = 41) 42) 536 090 — 13 746 = 87 908 — 26 374 = 43) 5 680 — 329 = 44) 45) 1073 084 — 461 723 = 46) 8070 — 4 726 =
33) 4 093 — 2 741 36) 867 320 — 4 218
47) 3 607 038 — 462 314 = 48) 70 630 — 32 416 = 49) 506 030 — 42 617 = 50) 63 406 — 273 = 51) 9 080 736 — 3 948 614 = 9 080 — 52) 2 435 = 53) 4070 308 — 643 281 = 54) 10 693 — 8 342 = 55) 7 608 — 543 = 7 647 = 56) 428 090 —
Beispiele: 13
1)
11
68.3 4.16 — 1 8 3 74 665042
2) 8 3.54 — 42 91 4 0 63
4 862 — 1439 = 1392 = 45 463— 2) 3) 7 043 681 — 4 921247 = 4) 625 034 — 512 617 = 73 038 — 429 = 5) 9 482 — 4 739 = 6) 7) 3 706 904 — 394 881 = 3 284 = 8) 186 318 — 6 051 — 738 = 9) 22 493 — 1746 = 10)
11) 1293 452 - 491837 = 12) 428070 — 14436 = 8 094 — 837 = 13) 7 684 — 2 837 = 14) 15) 438 206 — 72 184 = 16) 4416 280 — 4 963 = 948 = 7 860 — 17) 77 124 — 26 913 = 18) 19) 509 213 - 74 609 = 20) 144 271 — 72 839 =
Beispiele: 12 10 11
1) 8.3.1.1 — 6923 1388
21) 79 411 — 22) 41216 — 23) 84523 — 24) 162 412 — 25) 1 573 218 — 26) 782 314 — 27) 4 234 152 — 1 28) 8 412 — 17 625 — 29) 30) 224 842 —
23 894 = 37 684 = 3 549 = 48 156 = 938 149 = 45 618 = 463 968 = 7 923 = 8 537 = 5 938 =
2)
45.3.2.3 —3678 41645
31) 471243— 81946 = 32) 2 714 312 — 128 913 = 33) 732 844— 6 479 = 34) 65 327 — 8194 = 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) 1212 619 — 516 973 =
Beispiele: 9 10
1) 7 6.0.0 —4346 3254
70084 — 32 146 = 41) 42) 560000 — 234 983 = 43) 1 500 300 — 732 948 = 44) 9 000 — 4 213 = 45) 76 000 — 14 320 = 46) 242 000 — 176 321 = 47) 500 638 — 14 829 = 48) 4 006 318 — 213 481 = 49) 16 000 — 9 814 = 50) 8000 — 4 612 =
2) 2.1.0.0.4.0 —156374 53666 51) 1000007 — 732 164 = 52) 516 300 — 434 953 = 53) 17 800 — 8 364 = 9 000 — 54) 5 638 = 35 000 — 55) 16 728 = 56) 20 000 — 18 640 = 57) 740080 — 26 357 = 58) 4 000 630 — 1632 847 = 59) 8 490 = 18 300 — 60) 213 000 — 14 857 =
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Wiederholungsaufgaben. 523 680 —165 945 = 11) 1263 890 — 239462 = 208950—108 562 = 8 559 = 12) 7 200 800 — 700 000 — 326 917 = 13) 3 560940 — 77 812 = 14) 5000000 — 613 009 — 528 628 = 395 = 750008 — 352 719 = 15) 8 946 300 — 1216 830 = 398 496 — 103 845 = 16) 2 607 030 — 57 963 = 279 003 — 124 200 = 17) 4 008 129 — 116 875 = 18) 7 654 321 — 608 903 — 456 987 = 3 914 = 763 004 — 293 856 = 19) 9004 002 — 895 = 897 600 - 462 903 = 20) 1563 027 — 17 975 = 21) Von 27 654 nimm 9 218 dreimal fort! 31776 ii 22) n 7 944 viermal „ ! 23) II 178 600 ii 35 720 fünfmal „ ! 24) II 58128 ii 9 688 sechsmal „ i 25) II 194922 ii 27 846 siebenmal „ ! 26) II 472 656 ii 59 082 achtmal „ i 27) 840 762 ii 93 418 neunmal „ i 28) II 723 820 ii 72 382 zehnmal „
i
Aufgaben für das mündliche Rechnen.
II.
29. 1X15 = 2X15 = 3X15 = 4X15 = 5X15 = 6X15 = 7X15 = 8X15 = 9X15 = 10 X 15 =
33. 1X24 = 2X24 = 3X24 = 4X24 = 5X24 =
Multiplikation und Division.
1. Stufe. Multiplikation. 30. 31. 3X15 = 9X15 = 5X15 = 7X15 = 1X15 = 4X15 = 6X15 = 10X15 = 2X15 = 8X15 =
34. 6X24 = 7X24 = 8X24 = 9X24 = 10 X 24 = -
1X16 = 2X16 = 3X16 = 4X16 = 5X16 = 6X16 = 7X16 = 8X16 = 9X16 = 10X16 =
32. 9X16 = 7X16 = 4X16 = 10 X 16 = 2X16 = 6X16 = 1X16 = 5X16 = 3X16 = 8X16 =
35.
36.
7X24 = 2X24 = 10X24 = 3X24 = 8 X 24 =
1X24 = 6x24 = 4X24 = 9X24 = 5 X 24 =
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Wiederholungsaufgaben. 523 680 —165 945 = 11) 1263 890 — 239462 = 208950—108 562 = 8 559 = 12) 7 200 800 — 700 000 — 326 917 = 13) 3 560940 — 77 812 = 14) 5000000 — 613 009 — 528 628 = 395 = 750008 — 352 719 = 15) 8 946 300 — 1216 830 = 398 496 — 103 845 = 16) 2 607 030 — 57 963 = 279 003 — 124 200 = 17) 4 008 129 — 116 875 = 18) 7 654 321 — 608 903 — 456 987 = 3 914 = 763 004 — 293 856 = 19) 9004 002 — 895 = 897 600 - 462 903 = 20) 1563 027 — 17 975 = 21) Von 27 654 nimm 9 218 dreimal fort! 31776 ii 22) n 7 944 viermal „ ! 23) II 178 600 ii 35 720 fünfmal „ ! 24) II 58128 ii 9 688 sechsmal „ i 25) II 194922 ii 27 846 siebenmal „ ! 26) II 472 656 ii 59 082 achtmal „ i 27) 840 762 ii 93 418 neunmal „ i 28) II 723 820 ii 72 382 zehnmal „
i
Aufgaben für das mündliche Rechnen.
II.
29. 1X15 = 2X15 = 3X15 = 4X15 = 5X15 = 6X15 = 7X15 = 8X15 = 9X15 = 10 X 15 =
33. 1X24 = 2X24 = 3X24 = 4X24 = 5X24 =
Multiplikation und Division.
1. Stufe. Multiplikation. 30. 31. 3X15 = 9X15 = 5X15 = 7X15 = 1X15 = 4X15 = 6X15 = 10X15 = 2X15 = 8X15 =
34. 6X24 = 7X24 = 8X24 = 9X24 = 10 X 24 = -
1X16 = 2X16 = 3X16 = 4X16 = 5X16 = 6X16 = 7X16 = 8X16 = 9X16 = 10X16 =
32. 9X16 = 7X16 = 4X16 = 10 X 16 = 2X16 = 6X16 = 1X16 = 5X16 = 3X16 = 8X16 =
35.
36.
7X24 = 2X24 = 10X24 = 3X24 = 8 X 24 =
1X24 = 6x24 = 4X24 = 9X24 = 5 X 24 =
2.
3
4.
6X25 = 7x25 = 8X25 = 9x25 = 10 X 25 =
4X25 9 X 25 7X25 1X25 3X25
8X25 = 5x25 = 2X25 = 10 X 25 = 6X25 =
1. 1X25 = 2X25 = 3X25 = 4x25 = 5X25 =
Division. 8.
6.
7.
8.
45:15 =*) 150:15 = 105:15 = 60:15 = 15:15 = 120:15 = 75:15 = 135:15 = 30:15 = 90:15 =
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 =
9. Stufe. Multiplikation. Beispiel: 8x78 = ? 8x70 = 560 8X 8= 64 8x78 = 624
9.
10.
11.
12.
13.
7X53 = 8X64 = 3x92 = 5X48 = 7X79 = 4X87 = 9X45 = 6X63 = 4X85 = 8X67 =
6X68 = 9X77 = 5X98 = 7X46 = 3X86 = 8X39 = 5 X 59 = 4X67 = 7X73 = 8X85 =
5X94 = 6X59 = 9x98 = 7X36 = 6X88 = 8x65 = 9X74 = 5X49 = 7x63 = 9X84 =
6X95 = 9X83 = 5X87 = 8X46 = 4X96 = 8X63 = 9 X 47 = 6X38 = 8X59 = 5X97 =
9X59 = 8X87 = 7X74 = 9X96 = 6X47 = 4X98 = 7X56 = 8X78 = 6X49 = 9X94 =
Division. Beispiele: 1) 355:5 = ? 2) 483: 7 = ? 420: 7 = 60 350: 5 = 70 63:7= 9 5:5= 1 355:5 = 71 483:7 == 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 =
8.
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 = 336:4 =
282:3 = 616:8 = 395:5 = 294:6 = 512:8 = 288: 3 = 891:9 = 693:7 = 264:4 = 258:6 =
8. Stufe. Multiplikation. Beispiel: 3 x 189 = ? 3 x 100 = 300 3 X 80=240 3 X 9= 27 3 X189 = 567
9.
10.
11.
12.
3X218 = 6X 135 = 2X379 = 4 X 225 = 6X143 =
3X316 = 2 X 167 = 7X113 = 4 X 249 = 3 X 192 =
5X153 = 8 X 125 = 2X416 = 4x 137 = 7 X 129 =
3 X 278 = 6X119 = 2 x 395 = 7 X 142 = 4 X164 =
1.
2
3.
4.
2X159 = 8 X 123 = 5 X 157 = 7x136 = 3 x 197 =
6 X 165 = 4X213 = 2 X 428 = 5X179 = 7 X 127 =
5 X 166 = 2 x 397 = 8X114 = 3 X 237 = 6X118 =
4X186 = 2X279 = 8X117 = 3 X 196 = 5 X155 =
Division. Beispiele: 2) 1) 705:5 = ? 500:5= 100 200:5 = 40 5:5= 1 705:5=141
936: 4 = ? 800:4 = 200 120:4= 30 16:4= 4 936:4 = 234 _
5.
6.
7.
364:2 = 516:3 = 905:5 = 987:7 = 644:4;= 906:6 = 782:2 = 655:5 = 576:3 = 548:2 =
352:2 = 534:3 = 704:4 = 635:5 = 570 : 2 = 959:7 = 932:4 = 585:3 = 992:8 = 756:2 =
973:7 = 795:3 = 984:8 = 745:5 = 708:4 = 596:2 = 938: 7 = 980:5 = 882:6 = 858:3 =