Изабери решење задатка:
Задатак 1 (бесплатан)
Кратко решење
Свако множење рачунамо потписивањем и сабирањем делимичних производа: резултати редом \(8\,226,\ 28\,002,\ 12\,298,\ 33\,448,\ 36\,558,\ 117\,684,\ 100\,325,\ 119\,600,\ 23\,652,\ 9\,555,\ 164\,832,\ 97\,969\).
Детаљно решење
Множимо потписивањем:
\(457 \cdot 18 = 457 \cdot 8 + 457 \cdot 10 = 3\,656 + 4\,570 = 8\,226\)
\(718 \cdot 39 = 718 \cdot 9 + 718 \cdot 30 = 6\,462 + 21\,540 = 28\,002\)
\(286 \cdot 43 = 286 \cdot 3 + 286 \cdot 40 = 858 + 11\,440 = 12\,298\)
\(452 \cdot 74 = 452 \cdot 4 + 452 \cdot 70 = 1\,808 + 31\,640 = 33\,448\)
\(1\,354 \cdot 27 = 1\,354 \cdot 7 + 1\,354 \cdot 20 = 9\,478 + 27\,080 = 36\,558\)
\(9\,807 \cdot 12 = 9\,807 \cdot 2 + 9\,807 \cdot 10 = 19\,614 + 98\,070 = 117\,684\)
\(4\,013 \cdot 25 = 4\,013 \cdot 5 + 4\,013 \cdot 20 = 20\,065 + 80\,260 = 100\,325\)
\(2\,300 \cdot 52 = 2\,300 \cdot 2 + 2\,300 \cdot 50 = 4\,600 + 115\,000 = 119\,600\)
\(219 \cdot 108 = 219 \cdot 8 + 219 \cdot 100 = 1\,752 + 21\,900 = 23\,652\)
\(195 \cdot 49 = 195 \cdot 9 + 195 \cdot 40 = 1\,755 + 7\,800 = 9\,555\)
\(808 \cdot 204 = 808 \cdot 4 + 808 \cdot 200 = 3\,232 + 161\,600 = 164\,832\)
\(313 \cdot 313 = 313 \cdot 3 + 313 \cdot 10 + 313 \cdot 300 = 939 + 3\,130 + 93\,900 = 97\,969\)
\(457 \cdot 18 = 457 \cdot 8 + 457 \cdot 10 = 3\,656 + 4\,570 = 8\,226\)
\(718 \cdot 39 = 718 \cdot 9 + 718 \cdot 30 = 6\,462 + 21\,540 = 28\,002\)
\(286 \cdot 43 = 286 \cdot 3 + 286 \cdot 40 = 858 + 11\,440 = 12\,298\)
\(452 \cdot 74 = 452 \cdot 4 + 452 \cdot 70 = 1\,808 + 31\,640 = 33\,448\)
\(1\,354 \cdot 27 = 1\,354 \cdot 7 + 1\,354 \cdot 20 = 9\,478 + 27\,080 = 36\,558\)
\(9\,807 \cdot 12 = 9\,807 \cdot 2 + 9\,807 \cdot 10 = 19\,614 + 98\,070 = 117\,684\)
\(4\,013 \cdot 25 = 4\,013 \cdot 5 + 4\,013 \cdot 20 = 20\,065 + 80\,260 = 100\,325\)
\(2\,300 \cdot 52 = 2\,300 \cdot 2 + 2\,300 \cdot 50 = 4\,600 + 115\,000 = 119\,600\)
\(219 \cdot 108 = 219 \cdot 8 + 219 \cdot 100 = 1\,752 + 21\,900 = 23\,652\)
\(195 \cdot 49 = 195 \cdot 9 + 195 \cdot 40 = 1\,755 + 7\,800 = 9\,555\)
\(808 \cdot 204 = 808 \cdot 4 + 808 \cdot 200 = 3\,232 + 161\,600 = 164\,832\)
\(313 \cdot 313 = 313 \cdot 3 + 313 \cdot 10 + 313 \cdot 300 = 939 + 3\,130 + 93\,900 = 97\,969\)
Кратак запис решења:
\(8\,226;\ 28\,002;\ 12\,298;\ 33\,448;\ 36\,558;\ 117\,684;\ 100\,325;\ 119\,600;\ 23\,652;\ 9\,555;\ 164\,832;\ 97\,969\)
