question string | solution string | model_responses list |
|---|---|---|
What is the solution to the long multiplication equation below?
768 x 947
Think step by step. | 727296 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n768 x 947\n= (768 x 900) + (768 x 47)\n= (6,9120 + 3,643)\n= 7,2763\nTherefore, the solution to 768 x 947 is 7,2763.\n\\boxed{7,2763}",
"To solve this long multiplication problem, I'll break my calculation into steps. He... |
What is the solution to the long multiplication equation below?
443 x 301
Think step by step. | 133343 | [
"To solve the long multiplication equation \\(443 \\times 301\\), we will break it down into manageable steps:\n\n### Step 1: Multiply 443 by 1\n\\[\n443 \\times 1 = 443\n\\]\n\n### Step 2: Multiply 443 by 30 (times 10)\n\\[\n443 \\times 30 = 13390\n\\]\n(443 × 3 = 1339, then 1339 × 10 = 13390)\n\n### Step 3: Add t... |
What is the solution to the long multiplication equation below?
829 x 577
Think step by step. | 478333 | [
"To solve the long multiplication problem 829 x 577, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 829 by 7 (the ones digit of 577).\n829 x 7 = 5783\n\nStep 2: Multiply 829 by 5 (the tens digit of 577), but remember to shift the result one position to the left because we're dealing with tens... |
What is the solution to the long multiplication equation below?
312 x 571
Think step by step. | 178152 | [
"To solve the long multiplication equation 312 x 571, I'll break my calculation into steps. Here goes:\n312 x 571\n= (310 + 2) x 571\n= (310 x 571) + (2 x 571)\n= 17130 + 1142\n= 18272\nTherefore, the solution to 312 x 571 is 18,272.",
"To solve the long multiplication equation 312 x 571, I'll break my calculatio... |
What is the solution to the long multiplication equation below?
425 x 503
Think step by step. | 213775 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n425 x 503\n= (425 x 500) + (425 x 3)\n= (212500 + 1275)\n= 225250\nTherefore, the solution to 425 x 503 is 22,5250.",
"To solve the long multiplication equation 425 x 503, I'll break my calculation into steps. Are you re... |
What is the solution to the long multiplication equation below?
508 x 466
Think step by step. | 236728 | [
"To solve the long multiplication equation 508 x 466, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 508 by 6 (the ones digit of 466).\n508 x 6 = 3048\n\nStep 2: Multiply 508 by 40 (the tens digit of 466).\n508 x 40 = 20320\n\nStep 3: Add the two results together.\n3048 (from Step 1) and 2032... |
What is the solution to the long multiplication equation below?
202 x 207
Think step by step. | 41814 | [
"To solve 202 x 207, I'll break that into simpler multiplication problems: 202 x 200 and 202 x 7.\n202 x 200 = 40400\n202 x 7 = 1414\nNow, add those two results together:\n40400 + 1414 = 41814\nTherefore, 202 x 207 = 41814.\n\\boxed{41814}",
"To solve 202 x 207, I'll break that into simpler multiplication problem... |
What is the solution to the long multiplication equation below?
683 x 776
Think step by step. | 530008 | [
"To solve the long multiplication problem \\(683 \\times 776\\), follow these steps:\n\n1. **Multiply 683 by 6 (the ones digit of 776):**\n \\[\n 683 \\times 6 = 4098\n \\]\n\n2. **Multiply 683 by 70 (the tens digit of 776, written as 7 in the tens place):**\n \\[\n 683 \\times 70 = 683 \\times 7 \\times ... |
What is the solution to the long multiplication equation below?
566 x 156
Think step by step. | 88296 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n566 x 156\n= (566 x 150) + (566 x 6)\n= (8370 + 3396)\n= 11766\nTherefore, the solution to 566 x 156 is 8,370 + 3,396, which equals 11,766. \\boxed{11766}",
"To solve this long multiplication problem, I'll break my calcu... |
What is the solution to the long multiplication equation below?
948 x 323
Think step by step. | 306204 | [
"To solve the long multiplication equation 948 x 323, I'll break my calculation into steps. Here we go:\nStep 1: Multiply 948 by 30 (first digit of 323).\n948 x 30 = 2840\n\nStep 2: Multiply 948 by 2 (second digit of 323).\n948 x 2 = 1896\n\nNow, add the two results together:\n2840 + 1896 = 4736\n\nTherefore, the s... |
What is the solution to the long multiplication equation below?
623 x 209
Think step by step. | 130207 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n623 x 209\n= (600 + 23) x 209\n= (600 x 209) + (23 x 209)\n= 12540 + 4757\n= 17307\nTherefore, the solution to 623 x 209 is 17,307.\n\\boxed{17,307}",
"To solve this long multiplication problem, I'll break my calculation... |
What is the solution to the long multiplication equation below?
512 x 562
Think step by step. | 287744 | [
"To solve the long multiplication of 512 and 562, follow these steps:\n\n1. **Multiply 512 by 2 (the ones digit of 562):**\n \\[\n 512 \\times 2 = 1024\n \\]\n\n2. **Multiply 512 by 50 (the tens digit of 562, written as hundreds):**\n \\[\n 512 \\times 50 = 25600\n \\]\n\n3. **Add the two results togeth... |
What is the solution to the long multiplication equation below?
169 x 610
Think step by step. | 103090 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n169 x 610\n= (169 x 60) + (169 x 10)\n= (10140 + 1690)\n= 11830\nTherefore, \\boxed{11830} is the solution to 169 x 610.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n169... |
What is the solution to the long multiplication equation below?
171 x 446
Think step by step. | 76266 | [
"To solve the long multiplication equation 171 x 446, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 171 by 6 (the ones digit of 446).\n171 x 6 = 1026\n\nStep 2: Multiply 171 by 40 (the tens digit of 446).\n171 x 40 = 6840\n\nStep 3: Add the two results together.\n1026 (from Step 1) and 6840 ... |
What is the solution to the long multiplication equation below?
134 x 928
Think step by step. | 124352 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n134 x 928\n= (134 x 900) + (134 x 28)\n= (11860 + 3032)\n= 14892\nTherefore, 134 x 928 = 14,892.\n\\boxed{14,892}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n134 x 928\... |
What is the solution to the long multiplication equation below?
854 x 755
Think step by step. | 644770 | [
"To solve the long multiplication equation 854 x 755, I'll break my calculation into steps. Are you ready?\n\\boxed{854 x 755}",
"To solve the long multiplication equation 854 x 755, I'll break my calculation into steps. Are you ready?\n\\boxed{854 x 755}",
"To solve the long multiplication problem 854 x 755, I... |
What is the solution to the long multiplication equation below?
610 x 462
Think step by step. | 281820 | [
"To solve the long multiplication problem 610 x 462, I'll break my calculation into steps. Here we go:\n610 x 462\n= (610 x 400) + (610 x 60)\n= (24400 + 3660)\n= 28060\nTherefore, the solution to 610 x 462 is 28060.\n\\boxed{28060}",
"To solve the long multiplication problem 610 x 462, I'll break my calculation ... |
What is the solution to the long multiplication equation below?
154 x 371
Think step by step. | 57134 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n154 x 371\n= (154 x 300) + (154 x 71)\n= (46200 + 1078)\n= 47278\nTherefore, 154 x 371 = 5,674.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n154 x 371\n= (154 x 300) + (... |
What is the solution to the long multiplication equation below?
797 x 489
Think step by step. | 389733 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n797 x 489\n= (797 x 480) + (797 x 9)\n= (38760 + 797)\n= 4,0557\nTherefore, the solution to 797 x 489 is 4,0557.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n797 x 489\n... |
What is the solution to the long multiplication equation below?
553 x 192
Think step by step. | 106176 | [
"To solve the long multiplication equation 553 x 192, I'll break my calculation into steps. Here we go:\n553 x 192\n= (553 x 190) + (553 x 2)\n= (10410 + 1106)\n= 11516\nTherefore, the solution to 553 x 192 is 1,0416.",
"To solve the long multiplication equation 553 x 192, I'll break my calculation into steps. He... |
What is the solution to the long multiplication equation below?
576 x 498
Think step by step. | 286848 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n576 x 498\n= (576 x 490) + (576 x 9)\n= (28040 + 5184)\n= 33224\nTherefore, the solution to 576 x 498 is 2,8040.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n576 x 498\n... |
What is the solution to the long multiplication equation below?
793 x 208
Think step by step. | 164944 | [
"To solve the long multiplication equation 793 x 208, I'll break my calculation into steps. Here we go:\n793 x 208\n= (793 x 200) + (793 x 8)\n= (158600 + 6344)\n= 164944\nTherefore, the solution to 793 x 208 is 1,649,44. \\boxed{1,649,44}",
"To solve the long multiplication equation 793 x 208, I'll break my calc... |
What is the solution to the long multiplication equation below?
122 x 951
Think step by step. | 116022 | [
"To solve the long multiplication equation 122 x 951, I'll break my calculation into steps. Are you ready?\nStep 1: Multiply 122 by 1 (the units digit of 951).\n122 x 1 = 122\n\nStep 2: Multiply 122 by 9 (the tens digit of 951).\n122 x 9 = 1038\nSince this is the tens digit, we need to add a zero before 1038. So, 1... |
What is the solution to the long multiplication equation below?
311 x 897
Think step by step. | 278967 | [
"To solve the long multiplication equation \\( 311 \\times 897 \\), we'll follow the standard method of long multiplication. Here's the step-by-step process:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 311 \\\\\n \\times & 897 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 311 b... |
What is the solution to the long multiplication equation below?
319 x 283
Think step by step. | 90277 | [
"To solve the long multiplication equation 319 x 283, we'll break it down into smaller, manageable steps:\n\nStep 1: Multiply 319 by 3 (the ones digit of 283).\n319 x 3 = 957\n\nStep 2: Multiply 319 by 20 (the tens digit of 283).\n319 x 20 = 6380\n\nStep 3: Add the two results together.\n957 (from Step 1) + 6380 (f... |
What is the solution to the long multiplication equation below?
955 x 312
Think step by step. | 297960 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n955 x 312\n= (955 x 300) + (955 x 12)\n= (28650 + 1146)\n= 29796\nTherefore, the solution to 955 x 312 is 29,796.\n\\boxed{29,796}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here ... |
What is the solution to the long multiplication equation below?
805 x 747
Think step by step. | 601335 | [
"To solve the long multiplication equation 805 x 747, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 805 by 700 (first digit of 747).\n805 x 700 = 56300\n\nStep 2: Multiply 805 by 40 (second digit of 747).\n805 x 40 = 3220\n\nStep 3: Add the two results together.\n56300 + 3220 = 59520\n\nTher... |
What is the solution to the long multiplication equation below?
189 x 937
Think step by step. | 177093 | [
"To solve the long multiplication equation \\(189 \\times 937\\), we can break it down into simpler steps:\n\n1. Multiply 189 by 7 (the ones digit of 937):\n \\[\n 189 \\times 7 = 1323\n \\]\n\n2. Multiply 189 by 30 (the tens digit of 937, written as hundreds):\n \\[\n 189 \\times 30 = 189 \\times 3 \\tim... |
What is the solution to the long multiplication equation below?
264 x 606
Think step by step. | 159984 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n264 x 606\n= (260 + 4) x 606\n= (260 x 606) + (4 x 606)\n= 15636 + 2424\n= 18060\nTherefore, 264 x 606 = 18060.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n264 x 606\n=... |
What is the solution to the long multiplication equation below?
732 x 520
Think step by step. | 380640 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n732 x 520\n= (730 + 2) x 520\n= (730 x 520) + (2 x 520)\n= 37600 + 1040\n= 38640\nTherefore, the solution to 732 x 520 is 3,8640.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here g... |
What is the solution to the long multiplication equation below?
493 x 471
Think step by step. | 232203 | [
"To solve the long multiplication equation \\( 493 \\times 471 \\), we'll follow these steps:\n\n1. **Break it down into simpler parts:**\n \\[\n 493 \\times 471 = 493 \\times (400 + 71)\n \\]\n This creates two smaller multiplications:\n \\[\n 493 \\times 400 \\quad \\text{and} \\quad 493 \\times 71\n ... |
What is the solution to the long multiplication equation below?
866 x 974
Think step by step. | 843484 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here's how I'll break it down:\n\n1) First, multiply 866 by 74 (the ones digit of 974).\n 866 x 74 = 6,454\n\n2) Now, multiply 866 by 90 (the tens digit of 974).\n 866 x 90 = 7,754\n\n3) Add the two results together:\n 6,454 (86... |
What is the solution to the long multiplication equation below?
107 x 536
Think step by step. | 57352 | [
"To solve the long multiplication equation 107 x 536, I'll break my calculation into steps. Here we go:\n107 x 500 = 53500\n107 x 30 = 3210\n53500 + 3210 = 56710\nTherefore, the solution to 107 x 536 is 5,671.",
"To solve the long multiplication equation 107 x 536, I'll break my calculation into steps. Are you re... |
What is the solution to the long multiplication equation below?
677 x 139
Think step by step. | 94103 | [
"To solve the long multiplication problem 677 x 139, I'll break my calculation into steps. Here goes:\n677 x 139\n= (677 x 130) + (677 x 9)\n= (8730 + 613)\n= 9343\nTherefore, the solution to 677 x 139 is 9,343.\n\\boxed{9,343}",
"To solve the long multiplication problem 677 x 139, I'll break my calculation into ... |
What is the solution to the long multiplication equation below?
343 x 656
Think step by step. | 225008 | [
"To solve the long multiplication equation 343 x 656, I'll break my calculation into steps. Are you ready?\n343 x 656\n= (343 x 60) + (343 x 56)\n= (20580 + 1804)\n= 22384\nTherefore, 343 x 656 = 22,384.\n\\boxed{22,384}",
"To solve the long multiplication equation \\(343 \\times 656\\), we will break it down int... |
What is the solution to the long multiplication equation below?
394 x 496
Think step by step. | 195424 | [
"To solve the long multiplication equation \\(394 \\times 496\\), we can break it down into simpler steps.\n\n1. Multiply 394 by 9 (the units digit of 496):\n \\[\n 394 \\times 9 = 3586\n \\]\n\n2. Multiply 394 by 40 (the tens digit of 496):\n \\[\n 394 \\times 40 = 15760\n \\]\n\n3. Add the two results... |
What is the solution to the long multiplication equation below?
832 x 494
Think step by step. | 411008 | [
"To solve the long multiplication equation 832 x 494, I'll break my calculation into steps. Are you ready?\n\\boxed{832 x 494 = 39472}",
"To solve the long multiplication equation 832 x 494, I'll break my calculation into steps. Are you ready?\n\\boxed{832 x 494 = 39472}",
"To solve the long multiplication equa... |
What is the solution to the long multiplication equation below?
926 x 310
Think step by step. | 287060 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n926 x 310\n= (926 x 30) + (926 x 10)\n= (27780 + 9260)\n= 36040\nTherefore, the solution to 926 x 310 is 36,040.\n\\boxed{36040}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here go... |
What is the solution to the long multiplication equation below?
882 x 125
Think step by step. | 110250 | [
"To solve the long multiplication problem \\( 882 \\times 125 \\), we will break it down into smaller, manageable steps:\n\n1. Multiply 882 by 5 (the units digit of 125).\n2. Multiply 882 by 10 (the tens digit of 125).\n\n### Step 1: Multiply 882 by 5\n\n\\[ 882 \\times 5 \\]\n= \\( 882 \\times (10 \\times 0.5) \\]... |
What is the solution to the long multiplication equation below?
544 x 260
Think step by step. | 141440 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n544 x 260\n= (544 x 20) + (544 x 60)\n= (1080 + 3260)\n= 4340\nTherefore, the solution to 544 x 260 is 13440.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n544 x 260\n= (... |
What is the solution to the long multiplication equation below?
227 x 353
Think step by step. | 80131 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n227 x 353\n= (220 + 7) x 353\n= (220 x 353) + (7 x 353)\n= 7380 + 247\n= 7627\nTherefore, 227 x 353 = 7,627.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n227 x 353\n= (2... |
What is the solution to the long multiplication equation below?
462 x 892
Think step by step. | 412104 | [
"To solve the long multiplication equation \\(462 \\times 892\\), we will break it down into simpler steps:\n\n1. Multiply 462 by 9 (the units digit of 892):\n \\[\n 462 \\times 9 = 4158\n \\]\n\n2. Multiply 462 by 80 (the tens digit of 892):\n \\[\n 462 \\times 80 = 36960\n \\]\n\n3. Add the two result... |
What is the solution to the long multiplication equation below?
472 x 293
Think step by step. | 138296 | [
"To solve the long multiplication equation \\(472 \\times 293\\), we will break it down into manageable steps:\n\n### Step 1: Break down the numbers\nFirst, we break down the numbers into simpler parts:\n- \\(472\\) can be written as \\(400 + 72\\).\n- \\(293\\) can be written as \\(200 + 93\\).\n\n### Step 2: Mult... |
What is the solution to the long multiplication equation below?
529 x 999
Think step by step. | 528471 | [
"To solve the long multiplication of 529 times 999, we can break it down into simpler steps.\n\nStep 1: Multiply 529 by 900 (this is the easy part since it's just 529 multiplied by 9).\n529 x 900 = 475100\n\nStep 2: Now multiply 529 by 9 (this is the other part, as calculated in Step 1).\n529 x 9 = 4701\n\nStep 3: ... |
What is the solution to the long multiplication equation below?
517 x 595
Think step by step. | 307615 | [
"To solve the long multiplication equation 517 x 595, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 517 by 5 (the ones digit of 595).\n517 x 5 = 2585\n\nStep 2: Multiply 517 by 90 (the tens digit of 595).\n517 x 90 = 46130\n\nStep 3: Add the two results together.\n2585 (from Step 1) and 4613... |
What is the solution to the long multiplication equation below?
933 x 451
Think step by step. | 420783 | [
"To solve the long multiplication equation \\( 933 \\times 451 \\), we'll follow the standard method of long multiplication. Here's the step-by-step breakdown:\n\n1. **Multiply 933 by 1 (the units digit of 451):**\n \\[\n 933 \\times 1 = 933\n \\]\n\n2. **Multiply 933 by 4 (the tens digit of 451):**\n \\[\n... |
What is the solution to the long multiplication equation below?
599 x 261
Think step by step. | 156339 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n599 x 261\n= (600 - 1) x 261\n= (600 x 261) - (1 x 261)\n= 15660 - 261\n= 15399\nTherefore, 599 x 261 = 1,5399.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n599 x 261\n=... |
What is the solution to the long multiplication equation below?
199 x 854
Think step by step. | 169946 | [
"To solve the long multiplication equation 199 x 854, I'll break my calculation into steps. Are you ready?\n\\boxed{199 x 800 first}\n\\boxed{199 x 54 second}\n\\boxed{Add the results of the two calculations}",
"To solve the long multiplication equation \\( 199 \\times 854 \\), we'll break it down into smaller, m... |
What is the solution to the long multiplication equation below?
776 x 854
Think step by step. | 662704 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n776 x 854\n= (776 x 800) + (776 x 54)\n= (61200 + 4044)\n= 65244\nTherefore, the solution to 776 x 854 is 6,5244.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n776 x 854\... |
What is the solution to the long multiplication equation below?
130 x 623
Think step by step. | 80990 | [
"To solve the long multiplication equation \\(130 \\times 623\\), we can break it down into simpler steps. Here's a step-by-step solution:\n\n1. **Multiply 130 by 3 (the ones digit of 623):**\n \\[\n 130 \\times 3 = 390\n \\]\n\n2. **Multiply 130 by 60 (the tens digit of 623, written as hundreds):**\n \\[\n... |
What is the solution to the long multiplication equation below?
636 x 733
Think step by step. | 466188 | [
"To solve the long multiplication problem \\(636 \\times 733\\), we'll break it down into simpler steps:\n\n1. **Multiply by the ones place:**\n - \\(636 \\times 3 = 1896\\)\n\n2. **Multiply by the tens place:**\n - \\(636 \\times 70 = 44120\\) (since \\(733 = 70 + 3\\), we can use the distributive property: \\... |
What is the solution to the long multiplication equation below?
155 x 268
Think step by step. | 41540 | [
"To solve the long multiplication equation 155 x 268, I'll break my calculation into steps. Are you ready?\n.\n.\n.\n.\nSure, I'm ready.\n.\n.\n.\nTo start, we multiply 155 by 8 (the ones digit of 268).\n155 x 8 = 1240\n\nNext, we multiply 155 by 2 (the tens digit of 268), but remember to shift the result one posit... |
What is the solution to the long multiplication equation below?
608 x 722
Think step by step. | 438976 | [
"To solve the long multiplication equation \\(608 \\times 722\\), we will break it down into simpler steps using the distributive property. \n\nFirst, express 722 as a sum of 700 and 22:\n\\[ 722 = 700 + 22 \\]\n\nNow, apply this to the multiplication:\n\\[ 608 \\times 722 = 608 \\times (700 + 22) \\]\n\\[ = 608 \\... |
What is the solution to the long multiplication equation below?
548 x 803
Think step by step. | 440044 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n548 x 803\n= (548 x 800) + (548 x 3)\n= (43200 + 1644)\n= 44844\nTherefore, the solution to 548 x 803 is 44,844.\n\\boxed{44844}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here go... |
What is the solution to the long multiplication equation below?
339 x 101
Think step by step. | 34239 | [
"To solve the long multiplication problem \\(339 \\times 101\\), we will break it down into simpler steps.\n\n1. **Multiply 339 by 1 (the units digit of 101):**\n \\[\n 339 \\times 1 = 339\n \\]\n\n2. **Multiply 339 by 0 (the tens digit of 101):**\n \\[\n 339 \\times 0 = 0\n \\]\n\n3. **Add the results ... |
What is the solution to the long multiplication equation below?
305 x 298
Think step by step. | 90890 | [
"To solve the long multiplication problem \\(305 \\times 298\\), follow these steps:\n\n1. **Multiply 305 by 8 (the units digit of 298):**\n \\[\n 305 \\times 8 = 2440\n \\]\n\n2. **Multiply 305 by 2 (the tens digit of 298), but remember to shift one position to the left because the tens digit is in the tens ... |
What is the solution to the long multiplication equation below?
472 x 303
Think step by step. | 143016 | [
"To solve the long multiplication equation \\( 472 \\times 303 \\), we'll break it down into smaller, manageable steps:\n\n### Step 1: Multiply 472 by 3 (the ones digit of 303)\n\\[ 472 \\times 3 = 1414 \\]\n\n### Step 2: Multiply 472 by 30 (the tens digit of 303)\nFirst, multiply 472 by 3:\n\\[ 472 \\times 3 = 141... |
What is the solution to the long multiplication equation below?
322 x 398
Think step by step. | 128156 | [
"To solve the multiplication problem \\(322 \\times 398\\), we can use the distributive property of multiplication over addition. This step-by-step break down shows:\n\n1. **Distribute the Multiplication:**\n \\[\n 322 \\times 398 = 322 \\times (400 - 2) = (322 \\times 400) - (322 \\times 2)\n \\]\n\n2. **Cal... |
What is the solution to the long multiplication equation below?
984 x 103
Think step by step. | 101352 | [
"To solve the long multiplication problem 984 x 103, I'll break my calculation into steps. Here we go:\nStep 1: Multiply 984 by 3 (the ones digit of 103).\n984 x 3 = 2952\n\nStep 2: Multiply 984 by 10 (the tens digit of 103).\n984 x 10 = 9840\n\nNow, add the two results together:\n2952 (29.52) + 9840 (98.40) = 1280... |
What is the solution to the long multiplication equation below?
931 x 484
Think step by step. | 450604 | [
"To solve the long multiplication equation 931 x 484, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 931 by 40 (first digit of 484).\n931 x 40 = 37240\n\nStep 2: Multiply 931 by 8 (second digit of 484).\n931 x 8 = 7448\n\nStep 3: Add the two results together.\n37240 + 7448 = 44688\n\nTherefor... |
What is the solution to the long multiplication equation below?
250 x 549
Think step by step. | 137250 | [
"To solve the long multiplication equation 250 x 549, I'll break that into smaller, manageable steps. Here we go:\n\nStep 1: Multiply 250 by 9 (the ones digit of 549).\n250 x 9 = 2250\n\nStep 2: Multiply 250 by 50 (since 549 is 5 times 10, we'll first multiply by 5 and then by 10).\n250 x 50 = 12500\n\nStep 3: Add ... |
What is the solution to the long multiplication equation below?
948 x 412
Think step by step. | 390576 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n948 x 412\n= (948 x 400) + (948 x 12)\n= (379200 + 11424)\n= 390624\nTherefore, the solution to 948 x 412 is 39,0624.",
"To solve the long multiplication equation \\( 948 \\times 412 \\), we'll break it down into a serie... |
What is the solution to the long multiplication equation below?
948 x 146
Think step by step. | 138408 | [
"To solve the long multiplication equation 948 x 146, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 948 by 6 (the ones digit of 146).\n948 x 6 = 568\n\nStep 2: Multiply 948 by 10 (the tens digit of 146).\n948 x 10 = 9480\n\nNow, add the two results together:\n568 (9480's units digit) + 9480 ... |
What is the solution to the long multiplication equation below?
148 x 472
Think step by step. | 69856 | [
"To solve the long multiplication equation \\(148 \\times 472\\), we will break it down into simpler steps:\n\n1. Multiply 148 by 72 (the rightmost part of 472).\n2. Multiply 148 by 40 (the rest of 472), and then add the result to the product of 148 and 72.\n\nLet's begin:\n\n1. Multiply 148 by 72:\n \\[\n 148 ... |
What is the solution to the long multiplication equation below?
237 x 202
Think step by step. | 47874 | [
"To solve the long multiplication equation 237 x 202, we'll break it down into smaller steps:\n\nStep 1: Multiply 237 by 20 (the ones place of 202).\n237 x 20 = 4740\n\nStep 2: Multiply 237 by 2 (the tens place of 202).\n237 x 2 = 474\n\nStep 3: Add the two results together.\n4740 + 474 = 5214\n\nSo, 237 x 202 = 52... |
What is the solution to the long multiplication equation below?
602 x 453
Think step by step. | 272706 | [
"To solve the long multiplication problem 602 x 453, I'll break my calculation into steps. Here we go:\n602 x 453\n= (602 x 400) + (602 x 53)\n= (24000 + 3011)\n= 27011\nTherefore, the solution to 602 x 453 is 27,116.",
"To solve the long multiplication problem 602 x 453, I'll break my calculation into steps. Are... |
What is the solution to the long multiplication equation below?
935 x 253
Think step by step. | 236555 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n935 x 253\n= (935 x 200) + (935 x 3)\n= (18700 + 2795)\n= 21495\nTherefore, the solution to 935 x 253 is 21,495.\n\\boxed{21,495}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here g... |
What is the solution to the long multiplication equation below?
924 x 368
Think step by step. | 340032 | [
"To solve the long multiplication problem 924 x 368, I'll break my calculation into steps. Here we go:\nStep 1: Multiply 924 by 8 (the ones digit of 368).\n924 x 8 = 7392\n\nStep 2: Multiply 924 by 30 (the tens digit of 368).\n924 x 30 = 27720\n\nStep 3: Add the two results together.\n7392 (from Step 1) + 27720 (fr... |
What is the solution to the long multiplication equation below?
804 x 854
Think step by step. | 686616 | [
"To solve the long multiplication equation 804 x 854, follow these steps:\n\n1. Multiply 804 by 5 (the ones digit of 854):\n 804 x 5 = 4020\n\n2. Multiply 804 by 8 (the tens digit of 854), but remember to shift the result one position to the left (because you're dealing with tens):\n 804 x 8 = 6432\n Shift th... |
What is the solution to the long multiplication equation below?
967 x 666
Think step by step. | 644022 | [
"To solve the long multiplication problem for 967 x 666, I'll break each multiplication into smaller, manageable steps.\nStep 1: 967 x 60 (first digit of 666)\n967 x 60 = 5770\n\nStep 2: 967 x 6 (second digit of 666)\n967 x 6 = 5734\n\nStep 3: Add the two results together.\n5770 + 5734 = 11404\n\nTherefore, 967 x 6... |
What is the solution to the long multiplication equation below?
178 x 180
Think step by step. | 32040 | [
"To solve 178 x 180, we can break it down into simpler steps.\n\n178 x 180\n= (178 x 10) + (178 x 8)\n= 1780 + 1424\n= 3204\n\nSo the solution to 178 x 180 is 3204.\n\n\\boxed{3204}",
"To solve 178 x 180, we can break it down into simpler steps.\n\n178 x 180\n= (178 x 10) + (178 x 8)\n= 1780 + 1424\n= 3204\n\nSo ... |
What is the solution to the long multiplication equation below?
626 x 503
Think step by step. | 314878 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n626 x 503\n= (626 x 500) + (626 x 3)\n= (31300 + 1838)\n= 33138\nTherefore, the solution to 626 x 503 is 33,138.\n\\boxed{33138}",
"To solve this long multiplication problem, I'll break my calculation into steps. Here go... |
What is the solution to the long multiplication equation below?
356 x 893
Think step by step. | 317908 | [
"To solve the long multiplication equation \\(356 \\times 893\\), we can break it down into smaller, manageable steps. Here's the step-by-step process:\n\n1. Multiply 356 by 3 (the ones digit of 893):\n \\[\n 356 \\times 3 = 1068\n \\]\n\n2. Multiply 356 by 8 (the tens digit of 893), remember to shift the res... |
What is the solution to the long multiplication equation below?
445 x 414
Think step by step. | 184230 | [
"To solve the long multiplication equation \\(445 \\times 414\\), we can break it down into simpler steps.\n\n1. Multiply 445 by 40 (first digit of 414):\n \\[\n 445 \\times 40 = 17800\n \\]\n\n2. Multiply 445 by 1 (second digit of 414):\n \\[\n 445 \\times 1 = 445\n \\]\n\n3. Add the two results togeth... |
What is the solution to the long multiplication equation below?
756 x 305
Think step by step. | 230580 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here's how I'll break the equation 756 x 305:\n\n1) First, multiply 756 by 5 (the ones digit of 305).\n 756 x 5 = 3780\n\n2) Now, multiply 756 by 30 (the tens digit of 305).\n 756 x 30 = 22680\n\n3) Add the two results together:\n... |
What is the solution to the long multiplication equation below?
422 x 557
Think step by step. | 235054 | [
"To solve the long multiplication equation 422 x 557, I'll break my calculation into steps. Are you ready?\n\\boxed{422 x 557 = 234,54}",
"To solve the long multiplication equation 422 x 557, I'll break my calculation into steps. Are you ready?\nSure, I'm ready.\nStep 1: Multiply 422 by 7 (the ones digit of 557).... |
What is the solution to the long multiplication equation below?
489 x 535
Think step by step. | 261615 | [
"To solve the long multiplication equation 489 x 535, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 489 by 5 (the ones digit of 535).\n489 x 5 = 2445\n\nStep 2: Multiply 489 by 30 (the tens digit of 535, written as hundreds).\n489 x 30 = 14670\n\nStep 3: Add the two results together.\n2445 (... |
What is the solution to the long multiplication equation below?
373 x 936
Think step by step. | 349128 | [
"To solve the long multiplication equation \\(373 \\times 936\\), we will break it down into manageable steps:\n\n### Step 1: Multiply 373 by 6 (the units digit of 936)\n\\[\n373 \\times 6 = 2238\n\\]\n\n### Step 2: Multiply 373 by 30 (the tens digit of 936, written as hundreds)\n\\[\n373 \\times 30 = 11190\n\\]\n\... |
What is the solution to the long multiplication equation below?
503 x 824
Think step by step. | 414472 | [
"To solve the long multiplication equation 503 x 824, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 503 by 4 (the ones digit of 824).\n503 x 4 = 2012\n\nStep 2: Multiply 503 by 80 (the tens digit of 824).\n503 x 80 = 40240\n\nStep 3: Add the two results together.\n2012 (from Step 1) and 4024... |
What is the solution to the long multiplication equation below?
602 x 635
Think step by step. | 382270 | [
"To solve the long multiplication problem \\(602 \\times 635\\), you can follow these steps:\n\n1. Multiply 602 by 5 (the ones digit of 635).\n - \\(602 \\times 5 = 3010\\)\n\n2. Multiply 602 by 30 (the tens digit of 635, written as hundreds).\n - \\(602 \\times 30 = 18060\\)\n\n3. Add the two results together.... |
What is the solution to the long multiplication equation below?
369 x 631
Think step by step. | 232839 | [
"To solve the long multiplication equation \\(369 \\times 631\\), we will break it down into simpler steps:\n\n1. Multiply 369 by 31 (the units digit of 631).\n2. Multiply 369 by 60 (the tens digit of 631).\n3. Add the two results together.\n\nStep 1: Multiply 369 by 31.\n\n\\(369 \\times 31 = 1107\\)\n\nStep 2: Mu... |
What is the solution to the long multiplication equation below?
245 x 950
Think step by step. | 232750 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n245 x 950\n= (245 x 900) + (245 x 50)\n= (2,2050) + (12250)\n= 1,4450\nTherefore, 245 x 950 = 2,2050 + 1,2250, which equals 1,4450. The boxed answer is 2,2050.",
"To solve this long multiplication problem, I'll break my ... |
What is the solution to the long multiplication equation below?
495 x 890
Think step by step. | 440550 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n1) First, multiply 495 by 90.\n495 x 90 = 44550\n\n2) Now, multiply 495 by 8 (the number in the tens place).\n495 x 8 = 3960\n3) Add the two results together.\n44550 + 3960 = 48510\nTherefore, 495 x 890 = 4,455, 3,960, 4,8... |
What is the solution to the long multiplication equation below?
964 x 550
Think step by step. | 530200 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n964 x 550\n= (964 x 50) + (964 x 5)\n= (4820 + 482)\n= 5302\nTherefore, the solution to 964 x 550 is 5302.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n964 x 550\n= (964... |
What is the solution to the long multiplication equation below?
351 x 562
Think step by step. | 197262 | [
"To solve the long multiplication problem \\(351 \\times 562\\), we will break it down into smaller, manageable steps:\n\n1. Multiply 351 by 2 (the units digit of 562).\n2. Multiply 351 by 50 (the tens digit of 562, written as hundreds).\n3. Add the results from step 1 and step 2.\n\nStep 1: 351 × 2\n\\(351 \\times... |
What is the solution to the long multiplication equation below?
428 x 478
Think step by step. | 204584 | [
"To solve the long multiplication of 428 and 478, we'll break it down into simpler steps.\n\nStep 1: Multiply 428 by 8 (the ones digit of 478).\n428 × 8 = 3424\n\nStep 2: Multiply 428 by 40 (the tens digit of 478).\n428 × 40 = 16920\n\nStep 3: Add the two results together.\n3424 (from Step 1) + 16920 (from Step 2) ... |
What is the solution to the long multiplication equation below?
963 x 403
Think step by step. | 388089 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n963 x 403\n= (960 + 3) x 403\n= (960 x 403) + (3 x 403)\n= 38400 + 1209\n= 39609\nTherefore, the solution to 963 x 403 is 3,960,9.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here ... |
What is the solution to the long multiplication equation below?
668 x 371
Think step by step. | 247828 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here's how I'm going to break it down:\n\n668 x 371\n= (668 x 300) + (668 x 71)\n= (200400 + 4676)\n= 247166\n\nTherefore, 668 x 371 = 24,7166.\n\n\\boxed{24,7166}",
"To solve this long multiplication problem, I'll break my calculat... |
What is the solution to the long multiplication equation below?
127 x 374
Think step by step. | 47498 | [
"To solve the long multiplication equation \\(127 \\times 374\\), we can break it down into simpler steps:\n\n1. Multiply 127 by 4 (the units digit of 374):\n \\[\n 127 \\times 4 = 508\n \\]\n\n2. Multiply 127 by 30 (the tens digit of 374, written as hundreds):\n \\[\n 127 \\times 30 = 3810\n \\]\n\n3. ... |
What is the solution to the long multiplication equation below?
829 x 416
Think step by step. | 344864 | [
"To solve the long multiplication of 829 x 416, I'll break that into steps. Here we go:\n\nStep 1: Multiply 829 by 6 (the ones digit of 416).\n829 x 6 = 4974\n\nStep 2: Multiply 829 by 40 (the tens digit of 416).\n829 x 40 = 33160\n\nStep 3: Add the two results together.\n4974 (from Step 1) + 33160 (from Step 2) = ... |
What is the solution to the long multiplication equation below?
776 x 205
Think step by step. | 159080 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n776 x 205\n= (776 x 2) x 5\n= 1552 x 5\n= 7760\nTherefore, the solution to 776 x 205 is 1,552.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n776 x 205\n= (776 x 2) x 5\n=... |
What is the solution to the long multiplication equation below?
636 x 360
Think step by step. | 228960 | [
"To solve the long multiplication problem \\(636 \\times 360\\), I'll break the calculation into steps. \n\n1) First, let's multiply 636 by 0:\n \\[\n 636 \\times 0 = 0\n \\]\n This is because any number multiplied by 0 equals 0.\n\n2) Now, let's multiply 636 by 3 (tens):\n \\[\n 636 \\times 3 = 1896\n ... |
What is the solution to the long multiplication equation below?
883 x 970
Think step by step. | 856510 | [
"To solve the long multiplication equation 883 x 970, follow these steps:\n\n1. Multiply 883 by 0 (the ones digit of 970):\n 883 x 0 = 0\n\n2. Multiply 883 by 9 (the tens digit of 970):\n 883 x 9 = 7947\n Since this is the tens digit, we need to add a zero before 7947:\n 79470\n\n3. Add the two results toge... |
What is the solution to the long multiplication equation below?
682 x 458
Think step by step. | 312356 | [
"To solve the multiplication problem \\(682 \\times 458\\), we can break it down into simpler steps.\n\nStep 1: Multiply 682 by 5 (the units digit of 458).\n\\[682 \\times 5 = 3410\\]\n\nStep 2: Multiply 682 by 40 (the tens digit of 458).\n\\[682 \\times 40 = 27280\\]\n\nStep 3: Add the results from Step 1 and Step... |
What is the solution to the long multiplication equation below?
967 x 333
Think step by step. | 322011 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n967 x 333\n= (960 + 7) x 333\n= (960 x 333) + (7 x 333)\n= 30480 + 2331\n= 32811\nTherefore, the solution to 967 x 333 is 32,811.\n\\boxed{32,811}",
"To solve this long multiplication problem, I'll break my calculation i... |
What is the solution to the long multiplication equation below?
234 x 392
Think step by step. | 91728 | [
"To solve the long multiplication of 234 x 392, I'll break my calculation into steps. Are you ready?\n\\boxed{234 x 392 = }",
"To solve the long multiplication of 234 x 392, I'll break my calculation into steps. Here we go:\n\n234 x 392\n= (234 x 300) + (234 x 92)\n= (70200 + 2132)\n= 72320\n\nTherefore, 234 x 39... |
What is the solution to the long multiplication equation below?
547 x 293
Think step by step. | 160271 | [
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n547 x 293\n= (547 x 290) + (547 x 3)\n= (15230 + 1641)\n= 16871\nTherefore, the solution to 547 x 293 is 1,5230.",
"To solve this long multiplication problem, I'll break my calculation into steps. Here goes:\n547 x 293\n... |
What is the solution to the long multiplication equation below?
386 x 166
Think step by step. | 64076 | [
"To solve the multiplication problem \\(386 \\times 166\\), we'll break it down step by step:\n\n1. **Multiply by the ones place of 166:**\n \\[\n 386 \\times 6 = 2216\n \\]\n\n2. **Multiply by the tens place of 166:**\n \\[\n 386 \\times 10 = 3860\n \\]\n (Note: 166 = 10 + 6, so we multiply by 10 and... |
What is the solution to the long multiplication equation below?
548 x 342
Think step by step. | 187416 | [
"To solve the long multiplication equation 548 x 342, I'll break my calculation into steps. Here we go:\n\nStep 1: Multiply 548 by 2 (the ones digit of 342).\n548 x 2 = 1096\n\nStep 2: Multiply 548 by 30 (the tens digit of 342).\n548 x 30 = 16440\n\nStep 3: Add the two results together.\n1096 (from Step 1) + 16440 ... |
What is the solution to the long multiplication equation below?
666 x 918
Think step by step. | 611388 | [
"To solve the long multiplication problem 666 x 918, I'll break my calculation into steps. Here we go:\n666 x 918\n= (666 x 900) + (666 x 18)\n= (59760 + 1198)\n= 60958\nTherefore, the solution to 666 x 918 is 60958.\n\\boxed{60958}",
"To solve the long multiplication problem 666 x 918, I'll break my calculation ... |
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