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 the long multiplication problem \\( 768 \\times 947 \\), we will break it down into smaller steps.\n\n1. **Break down the multiplication:**\n \\[\n 768 \\times 947 = 768 \\times (900 + 40 + 7)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n 768 \\times 947 = 768 \\times 900 + 768 \\times ... |
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 follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 4 & 4 & 3 \\\\\n \\times & & 3 & 0 & 1 \\\\\n \\end{array}\n \\... |
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 \\times 577 \\), we will break it down into manageable steps. Here's the process:\n\n1. **Break down the numbers:**\n - \\( 829 \\) can be written as \\( 800 + 20 + 9 \\).\n - \\( 577 \\) can be written as \\( 500 + 70 + 7 \\).\n\n2. **Multiply each part of the ... |
What is the solution to the long multiplication equation below?
312 x 571
Think step by step. | 178152 | [
"To solve the long multiplication problem \\( 312 \\times 571 \\), we will break it down into steps, similar to the long multiplication process for smaller numbers.\n\n1. **Break down the multiplication into smaller parts:**\n\n First, multiply 312 by 500:\n \\[\n 312 \\times 500 = 312 \\times (5 \\times 100)... |
What is the solution to the long multiplication equation below?
425 x 503
Think step by step. | 213775 | [
"To solve the long multiplication equation \\( 425 \\times 503 \\), we will break it down into simpler steps.\n\n1. **Break down the numbers:**\n - \\( 425 \\) can be broken into \\( 400 + 20 + 5 \\).\n - \\( 503 \\) can be broken into \\( 500 + 3 \\).\n\n2. **Multiply each part of \\( 425 \\) by \\( 500 \\):**... |
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 \\times 466 \\), we will follow the standard long multiplication method. Here's a step-by-step breakdown:\n\n1. **Multiply 508 by 6:**\n \\[\n 508 \\times 6 = 3048\n \\]\n\n2. **Multiply 508 by 60 (which is 466 with a zero added at the end):**\n \\[\n 508... |
What is the solution to the long multiplication equation below?
202 x 207
Think step by step. | 41814 | [
"To solve the long multiplication problem \\( 202 \\times 207 \\), we will break it down into smaller, manageable steps. Here's how we can do it:\n\n1. **Multiply the units digit of the first number by the units digit of the second number:**\n\n \\[\n 2 \\times 7 = 14\n \\]\n\n Write down the 4 and carry ov... |
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\\), we'll follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 683 by 6 (the units digit of 776):**\n \\[\n 683 \\times 6 = 4098\n \\]\n\n2. **Multiply 683 by 70 (the tens digit of 776, which is 70):**\n \\[\n 683... |
What is the solution to the long multiplication equation below?
566 x 156
Think step by step. | 88296 | [
"To solve the long multiplication equation \\(566 \\times 156\\), we will break it down into smaller, manageable steps.\n\n1. **Break down the numbers:**\n - \\(566\\) can be broken down into \\(500 + 60 + 6\\).\n - \\(156\\) can be broken down into \\(100 + 50 + 6\\).\n\n2. **Multiply each part of the first nu... |
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 \\times 323 \\), we will break it down into smaller steps and multiply each digit of 948 by each digit of 323, then add the results together.\n\n1. **Multiply 948 by 300 (since 323 = 300 + 23):**\n \\[\n 948 \\times 300 = 948 \\times (3 \\times 100) = (948 \\ti... |
What is the solution to the long multiplication equation below?
623 x 209
Think step by step. | 130207 | [
"To solve the long multiplication equation \\(623 \\times 209\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 623 by 9:**\n \\[\n 623 \\times 9 = 5607\n \\]\n\n2. **Multiply 623 by 20 (which is the same as 200, so we need to shift the result one... |
What is the solution to the long multiplication equation below?
512 x 562
Think step by step. | 287744 | [
"To solve the long multiplication equation \\( 512 \\times 562 \\), we'll break it down into manageable steps:\n\n1. **Multiply 512 by 2:**\n \\[\n 512 \\times 2 = 1024\n \\]\n\n2. **Multiply 512 by 60 (which is 500 with a zero added for the tens place):**\n \\[\n 512 \\times 60 = 512 \\times 6 \\times 10... |
What is the solution to the long multiplication equation below?
169 x 610
Think step by step. | 103090 | [
"To solve the long multiplication equation \\( 169 \\times 610 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 169 \\\\\n \\times 610 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 169 by 0 (the units digit of 610):**\n \\[\n 169 \\times 0 = 0\n \\]\n ... |
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 \\times 446\\), we'll break it down into simpler steps:\n\n1. **Break down the numbers:**\n - \\(171\\) can be broken into \\(100 + 70 + 1\\).\n - \\(446\\) can be broken into \\(400 + 40 + 6\\).\n\n2. **Multiply each part of \\(171\\) by each part of \\(446\\):... |
What is the solution to the long multiplication equation below?
134 x 928
Think step by step. | 124352 | [
"To solve the long multiplication equation \\(134 \\times 928\\), we will follow the standard long multiplication algorithm. Here are the steps:\n\n1. **Multiply 134 by 8 (the units digit of 928):**\n \\[\n 134 \\times 8 = 1072\n \\]\n Write down 2 and carry over 7.\n\n2. **Multiply 134 by 2 (the tens digit... |
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 \\times 755 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 854 \\\\\n \\times 755 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 854 by 5 (the units digit o... |
What is the solution to the long multiplication equation below?
610 x 462
Think step by step. | 281820 | [
"To solve the long multiplication equation \\( 610 \\times 462 \\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 610 \\\\\n \\times 462 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 610 by 2 (the units digit... |
What is the solution to the long multiplication equation below?
154 x 371
Think step by step. | 57134 | [
"To solve the long multiplication equation \\(154 \\times 371\\), we will break it down into simpler steps. Let's start by writing out the multiplication in a step-by-step manner:\n\n1. **Multiply 154 by 1 (the units digit of 371):**\n \\[\n 154 \\times 1 = 154\n \\]\n Write down 4, 5, and 1.\n\n2. **Multip... |
What is the solution to the long multiplication equation below?
797 x 489
Think step by step. | 389733 | [
"To solve the long multiplication equation \\( 797 \\times 489 \\), we will follow the standard long multiplication algorithm. Let's break it down step by step.\n\n1. **Multiply 797 by 9 (the units digit of 489):**\n \\[\n 797 \\times 9 = 7173\n \\]\n Write down 3 and carry over 717.\n\n2. **Multiply 797 by... |
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 \\times 192\\), we will break it down into smaller steps and multiply each digit of 553 by each digit of 192, then add the results together.\n\n### Step-by-Step Solution:\n\n1. **Multiply 553 by 2 (the units digit of 192):**\n \\[\n 553 \\times 2 = 1106\n \\]\... |
What is the solution to the long multiplication equation below?
576 x 498
Think step by step. | 286848 | [
"To solve the long multiplication equation \\( 576 \\times 498 \\), we'll follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Break down the numbers into their place values:**\n - \\( 576 \\) can be broken into \\( 500 + 70 + 6 \\)\n - \\( 498 \\) can be broken into \\( 400 + 90 + 8 \\... |
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 \\times 208 \\), we will break it down into smaller, manageable steps.\n\n1. **Break down the numbers:**\n \\[\n 793 = 700 + 90 + 3\n \\]\n \\[\n 208 = 200 + 8\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n ... |
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 \\times 951 \\), we'll break it down into manageable steps.\n\n### Step 1: Break down the numbers\nFirst, let's break down the numbers into simpler parts:\n- \\( 122 \\) can be written as \\( 100 + 20 + 2 \\)\n- \\( 951 \\) can be written as \\( 900 + 50 + 1 \\)\n\... |
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 will break it down into smaller steps and perform the multiplication in a systematic way.\n\n1. **Multiply 311 by 7 (the units digit of 897):**\n \\[\n 311 \\times 7 = 2177\n \\]\n\n2. **Multiply 311 by 9 (the tens digit of 897):**\n \\[\n... |
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 \\times 283\\), we will follow the standard long multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 319 by 3 (the units digit of 283):**\n \\[\n 319 \\times 3 = 957\n \\]\n Write down 957, but shift it one place to the left because ... |
What is the solution to the long multiplication equation below?
955 x 312
Think step by step. | 297960 | [
"To solve the long multiplication equation \\( 955 \\times 312 \\), we'll follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 5 & 5 \\\\\n \\times & 3 & 1 & 2 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 955 by 2 (the units digit of 312):**\n \\[\n ... |
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 \\times 747 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 805 \\\\\n \\times 747 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 805 by 7:**\n... |
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 will break it down into simpler steps.\n\n### Step 1: Multiply 189 by 7 (the units digit of 937)\n\\[ 189 \\times 7 = 1323 \\]\n\n### Step 2: Multiply 189 by 30 (the tens digit of 937)\n\\[ 189 \\times 30 = 189 \\times 3 \\times 10 = 567 \\times 1... |
What is the solution to the long multiplication equation below?
264 x 606
Think step by step. | 159984 | [
"To solve the long multiplication problem \\( 264 \\times 606 \\), we will follow the standard algorithm for multiplying numbers. Here's the step-by-step process:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 2 & 6 & 4 \\\\\n \\times & 6 & 0 & 6 \\\\\n \\end{array}\n \... |
What is the solution to the long multiplication equation below?
732 x 520
Think step by step. | 380640 | [
"To solve the long multiplication equation \\(732 \\times 520\\), we will break it down into simpler steps by using the distributive property of multiplication over addition. This method will help us to multiply each digit of the numbers by each other digit of the other number and then sum up the results.\n\nHere a... |
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 will break it down into manageable steps and perform the multiplication in a systematic way.\n\n### Step 1: Break down the numbers\nFirst, let's break down the numbers into their individual digits:\n- \\(493\\) can be written as \\(400 + 90 + 3\\)... |
What is the solution to the long multiplication equation below?
866 x 974
Think step by step. | 843484 | [
"To solve the long multiplication problem \\(866 \\times 974\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 8 & 6 & 6 \\\\\n \\times & & 9 & 7 & 4 \\\\\n \\end{array}\n \\]\n\n2. **Multiply ... |
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 \\times 536\\), we will break it down into manageable steps.\n\n1. **Break down the numbers into smaller parts:**\n - \\(107\\) can be broken down into \\(100 + 7\\).\n - \\(536\\) can be broken down into \\(500 + 30 + 6\\).\n\n2. **Multiply each part of the fir... |
What is the solution to the long multiplication equation below?
677 x 139
Think step by step. | 94103 | [
"To solve the long multiplication equation \\(677 \\times 139\\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n### Step 1: Multiply 677 by 9\n- Multiply 677 by 9:\n \\[\n 677 \\times 9 = 6093\n \\]\n Write down 6093.\n\n### Step 2: Multiply 677 by 30 (and shift on... |
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 \\times 656 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Write the numbers vertically:**\n \\[\n \\begin{array}{r}\n 343 \\\\\n \\times 656 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 343 by 6 (the units digit ... |
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 will break it down into smaller, manageable steps. Let's go through it step by step.\n\n### Step 1: Break down the numbers\nWe can break down \\(394\\) and \\(496\\) into their individual digits:\n- \\(394\\) can be written as \\(300 + 90 + 4\\)\n... |
What is the solution to the long multiplication equation below?
832 x 494
Think step by step. | 411008 | [
"To solve the long multiplication problem \\( 832 \\times 494 \\), we'll break it down into steps and perform the multiplication accordingly.\n\n### Step 1: Multiply 832 by 4\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n & 832 \\\\\n\\times & 4 \\\\\n\\hline\n & 3328 \\\\\n\\end{array}\n\\]\nHere, we multiply each digit of... |
What is the solution to the long multiplication equation below?
926 x 310
Think step by step. | 287060 | [
"To solve the long multiplication equation \\( 926 \\times 310 \\), we'll break it down into simpler steps.\n\n### Step 1: Multiply 926 by 10\nFirst, we'll multiply 926 by 10:\n\\[\n926 \\times 10 = 9260\n\\]\n\n### Step 2: Multiply 926 by 1\nNext, we'll multiply 926 by 1:\n\\[\n926 \\times 1 = 926\n\\]\n\n### Step... |
What is the solution to the long multiplication equation below?
882 x 125
Think step by step. | 110250 | [
"To solve the long multiplication equation \\( 882 \\times 125 \\), we will break it down into simpler steps.\n\n### Step 1: Break down the multiplication into smaller parts.\nFirst, we can express 125 as \\( 100 + 25 \\). This will help us distribute the multiplication across the addition.\n\n### Step 2: Multiply ... |
What is the solution to the long multiplication equation below?
544 x 260
Think step by step. | 141440 | [
"To solve the long multiplication equation \\( 544 \\times 260 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Write the numbers vertically:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 5 & 4 & 4 \\\\\n \\times & 2 & 6 & 0 \\\\\n \\end{array}\n \\]... |
What is the solution to the long multiplication equation below?
227 x 353
Think step by step. | 80131 | [
"To solve the long multiplication equation \\(227 \\times 353\\), we will follow the standard long multiplication method.\n\n1. **Multiply 227 by 3:**\n \\[\n 227 \\times 3 = 681\n \\]\n\n2. **Multiply 227 by 50 (since 353 = 350 + 3):**\n \\[\n 227 \\times 50 = 11350\n \\]\n\n3. **Multiply 227 by 300 (s... |
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 follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 462 by 2 (the ones digit of 892):**\n \\[\n 462 \\times 2 = 924\n \\]\n Write down 924.\n\n2. **Multiply 462 by 9 (the tens digit o... |
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 simpler steps by multiplying each digit of the second number by each digit of the first number and then summing up the results.\n\nLet's start with the multiplication:\n\n1. **Multiply 293 by 72 (the units digit of 472):*... |
What is the solution to the long multiplication equation below?
529 x 999
Think step by step. | 528471 | [
"To solve the long multiplication equation \\( 529 \\times 999 \\), we will follow the standard long multiplication method.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 5 & 2 & 9 \\\\\n \\times & 9 & 9 & 9 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 529 by 9 (the units... |
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 \\times 595\\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 517 \\\\\n \\times 595 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 517 by 5:**\n ... |
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 will break it down into smaller, manageable steps.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 3 & 3 \\\\\n \\times & 4 & 5 & 1 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 933 by 1 ... |
What is the solution to the long multiplication equation below?
599 x 261
Think step by step. | 156339 | [
"To solve the long multiplication equation \\(599 \\times 261\\), we'll break it down into steps and perform the multiplication methodically.\n\n1. **Multiply 599 by 1:**\n \\[\n 599 \\times 1 = 599\n \\]\n\n2. **Multiply 599 by 60 (which is 261 - 1):**\n \\[\n 599 \\times 60 = 599 \\times (260 + 1) = 599... |
What is the solution to the long multiplication equation below?
199 x 854
Think step by step. | 169946 | [
"To solve the long multiplication problem \\(199 \\times 854\\), we will break it down into steps:\n\n1. **Multiply 199 by 4 (the units digit of 854):**\n \\[\n 199 \\times 4 = 796\n \\]\n\n2. **Multiply 199 by 50 (the tens digit of 854):**\n \\[\n 199 \\times 50 = 9950\n \\]\n (Note: \\(50 = 5 \\time... |
What is the solution to the long multiplication equation below?
776 x 854
Think step by step. | 662704 | [
"To solve the long multiplication equation \\( 776 \\times 854 \\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n1. **Multiply 776 by 4 (the units digit of 854):**\n \\[\n 776 \\times 4 = 3104\n \\]\n\n2. **Multiply 776 by 50 (the tens digit of 854, which is 5 t... |
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 will follow the standard long multiplication method. Let's break it down step by step.\n\n1. **Multiply 130 by 3 (the units digit of 623):**\n \\[\n 130 \\times 3 = 390\n \\]\n Write down 390.\n\n2. **Multiply 130 by 20 (the tens digit of ... |
What is the solution to the long multiplication equation below?
636 x 733
Think step by step. | 466188 | [
"To solve the long multiplication equation \\( 636 \\times 733 \\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n### Step 1: Set up the multiplication\n\n```\n 636\n × 733\n```\n\n### Step 2: Multiply 636 by 3 (the units digit of 733)\n\n```\n 636\n ... |
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 \\times 268\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Break down the numbers into smaller parts:**\n \\[\n 155 = 100 + 50 + 5\n \\]\n \\[\n 268 = 200 + 60 + 8\n \\]\n\n2. **Multiply each part of the first n... |
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 follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 608 \\\\\n \\times 722 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 608 by 2 (the units digit o... |
What is the solution to the long multiplication equation below?
548 x 803
Think step by step. | 440044 | [
"To solve the long multiplication equation \\(548 \\times 803\\), we will break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, let's rewrite the problem:\n\\[548 \\times 803 = 548 \\times (800 + 3)\\]\n\nUsing the distributive property:\n\\[548 \\times (800 ... |
What is the solution to the long multiplication equation below?
339 x 101
Think step by step. | 34239 | [
"To solve the long multiplication equation \\( 339 \\times 101 \\), we will follow these steps:\n\n1. **Break down the multiplication into smaller parts**: We can use the distributive property to break it down.\n \\[\n 339 \\times 101 = 339 \\times (100 + 1)\n \\]\n2. **Distribute the multiplication**:\n \\... |
What is the solution to the long multiplication equation below?
305 x 298
Think step by step. | 90890 | [
"To solve the long multiplication equation \\( 305 \\times 298 \\), we'll break it down into steps:\n\n### Step 1: Multiply the ones digit of the first number by the ones digit of the second number.\n- \\( 5 \\times 8 = 40 \\)\n\n### Step 2: Multiply the ones digit of the first number by the tens digit of the secon... |
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 will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 472 by 3:**\n \\[\n 472 \\times 3 = 1416\n \\]\n\n2. **Multiply 472 by 0 (the second digit of 303):**\n \\[\n 472 \\times 0 = 0\n \\]\n\n3. **M... |
What is the solution to the long multiplication equation below?
322 x 398
Think step by step. | 128156 | [
"To solve the long multiplication equation \\(322 \\times 398\\), we will break it down into simpler steps and perform the multiplication in a systematic way.\n\n1. **Break down the multiplication:**\n - First, multiply \\(322\\) by \\(98\\).\n - Then, multiply \\(322\\) by \\(30\\).\n - Finally, add the resu... |
What is the solution to the long multiplication equation below?
984 x 103
Think step by step. | 101352 | [
"To solve the long multiplication equation \\( 984 \\times 103 \\), we will follow the standard multiplication method.\n\n1. **Break down the multiplication:**\n \\[\n 984 \\times 103 = 984 \\times (100 + 3)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n 984 \\times 100 + 984 \\times 3\n \\]\n\n... |
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 \\times 484\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 3 & 1 \\\\\n \\times & & 4 & 8 & 4 \\\\\n \\end{array}\n \\]\n\n2. **Multiply... |
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 \\times 549 \\), we will break it down into smaller, manageable steps.\n\n### Step 1: Multiply 250 by 9 (the units digit of 549)\n\\[\n250 \\times 9 = 2250\n\\]\n\n### Step 2: Multiply 250 by 40 (the tens digit of 549)\nFirst, we need to multiply 250 by 4:\n\\[\n25... |
What is the solution to the long multiplication equation below?
948 x 412
Think step by step. | 390576 | [
"To solve the long multiplication problem \\(948 \\times 412\\), we will break it down into smaller steps:\n\n1. **Break down the multiplication:**\n \\[\n 948 \\times 412 = 948 \\times (400 + 10 + 2)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n 948 \\times 400 = 948 \\times 4 \\times 100\n \\... |
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 \\times 146\\), we will break it down into manageable steps. Let's start by multiplying the numbers step by step.\n\n1. **Multiply 948 by 6 (the units digit of 146):**\n \\[\n 948 \\times 6 = 5688\n \\]\n Write down 88 and carry over 56 to the next step.\n\n... |
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 smaller, manageable steps.\n\n1. **Break down the multiplication into smaller parts:**\n - First, multiply 148 by 2 (the units digit of 472).\n - Then, multiply 148 by 70 (the tens digit of 472).\n - Finally, multiply... |
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 \\times 202 \\), we will break it down into simpler steps.\n\n### Step 1: Multiply 237 by 200\nFirst, we multiply 237 by 200. Since 200 is the same as \\( 2 \\times 100 \\), we can think of it as multiplying 237 by 2 and then by 100.\n\n\\[ 237 \\times 2 = 474 \\]\... |
What is the solution to the long multiplication equation below?
602 x 453
Think step by step. | 272706 | [
"To solve the long multiplication equation \\(602 \\times 453\\), we will break it down into simpler steps by multiplying each digit of the first number by each digit of the second number, and then summing up the results.\n\nHere are the steps:\n\n1. **Multiply 602 by 3 (the units digit of 453):**\n \\[\n 602 \... |
What is the solution to the long multiplication equation below?
935 x 253
Think step by step. | 236555 | [
"To solve the long multiplication equation \\(935 \\times 253\\), we will break it down into smaller steps and multiply each digit of 935 by each digit of 253, then add the results.\n\n### Step 1: Multiply 935 by 3 (tens place of 253)\n- Multiply 935 by 3: \n \\[\n 935 \\times 3 = 2805\n \\]\n Write down 05 in ... |
What is the solution to the long multiplication equation below?
924 x 368
Think step by step. | 340032 | [
"To solve the long multiplication equation \\(924 \\times 368\\), we will follow the standard long multiplication method.\n\n### Step 1: Set up the multiplication\nWrite the numbers one under the other, aligning the rightmost digits:\n\n```\n 924\n× 368\n------\n```\n\n### Step 2: Multiply 924 by 8 (the units digi... |
What is the solution to the long multiplication equation below?
804 x 854
Think step by step. | 686616 | [
"To solve the long multiplication problem \\(804 \\times 854\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 804 by 4:**\n \\[\n 804 \\times 4 = 3216\n \\]\n Write down 3216.\n\n2. **Multiply 804 by 50 (which is the same as 804 times 5):**\n \\[\n 804 \\t... |
What is the solution to the long multiplication equation below?
967 x 666
Think step by step. | 644022 | [
"To solve the long multiplication problem \\(967 \\times 666\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Write the numbers vertically:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 6 & 7 \\\\\n \\times & & 6 & 6 & 6 \\\\\n \\end{array}\n \\]\n\n2. **Multip... |
What is the solution to the long multiplication equation below?
178 x 180
Think step by step. | 32040 | [
"To solve the long multiplication equation \\(178 \\times 180\\), we can break it down into smaller, manageable steps:\n\n1. **Break down the multiplication:**\n \\[\n 178 \\times 180 = 178 \\times (100 + 80)\n \\]\n\n2. **Use the distributive property:**\n \\[\n 178 \\times (100 + 80) = 178 \\times 100 +... |
What is the solution to the long multiplication equation below?
626 x 503
Think step by step. | 314878 | [
"To solve the long multiplication equation \\(626 \\times 503\\), we will follow the standard long multiplication algorithm. Here are the steps:\n\n1. **Write the numbers one below the other:**\n ```\n 626\n x 503\n ```\n\n2. **Multiply 626 by 3 (the units digit of 503):**\n \\[\n 626 \\times 3 = 18... |
What is the solution to the long multiplication equation below?
356 x 893
Think step by step. | 317908 | [
"To solve the long multiplication problem \\(356 \\times 893\\), we will break it down into manageable steps.\n\n### Step 1: Break down the numbers\nWe can rewrite the numbers as:\n\\[ 356 = 300 + 50 + 6 \\]\n\\[ 893 = 800 + 90 + 3 \\]\n\n### Step 2: Multiply each part of the first number by each part of the second... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 445 by 4:**\n \\[\n 445 \\times 4 = 1780\n \\]\n\n2. **Multiply 445 by 10 (which is the same as adding a zero at the end of 445):**\n \\[\n 445 \... |
What is the solution to the long multiplication equation below?
756 x 305
Think step by step. | 230580 | [
"To solve the long multiplication equation \\(756 \\times 305\\), we will break it down into smaller, manageable steps. Let's proceed step by step.\n\n### Step 1: Break down the numbers\nFirst, we can break down the numbers into smaller, more manageable parts:\n- \\(756 = 700 + 56\\)\n- \\(305 = 300 + 5\\)\n\n### S... |
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 \\times 557\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 422 by 7 (the units digit of 557):**\n \\[\n 422 \\times 7 = 2954\n \\]\n Write down 4 and carry over 9.\n\n2. **Multiply 422 by 5 (t... |
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 \\times 535 \\), we will break it down into steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 489 \\times 535 = 489 \\times (500 + 30 + 5)\n \\]\n\n2. **Distribute the multiplication across the sum:**\n \\[\n 489 \\times (500 + 30... |
What is the solution to the long multiplication equation below?
373 x 936
Think step by step. | 349128 | [
"To solve the long multiplication problem \\(373 \\times 936\\), we will follow the standard algorithm for multiplying multi-digit numbers. Let's break it down step by step.\n\n1. **Multiply 373 by 6 (the units digit of 936):**\n \\[\n 373 \\times 6 = 2238\n \\]\n Write down 2238.\n\n2. **Multiply 373 by 30... |
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 \\times 824\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 503 \\\\\n \\times 824 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 503 by 4 (the units digit of ... |
What is the solution to the long multiplication equation below?
602 x 635
Think step by step. | 382270 | [
"To solve the long multiplication equation \\(602 \\times 635\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 602 \\\\\n \\times 635 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 602 by 5 (the units digit of ... |
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'll break it down into manageable steps.\n\n### Step 1: Break the numbers into parts\nFirst, let's break down the numbers into more manageable parts:\n- \\( 369 \\) can be broken into \\( 300 + 60 + 9 \\)\n- \\( 631 \\) can be broken into \\( 600... |
What is the solution to the long multiplication equation below?
245 x 950
Think step by step. | 232750 | [
"To solve the long multiplication equation \\(245 \\times 950\\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n1. **Write the numbers in a column format:**\n ```\n 245\n x 950\n ```\n\n2. **Multiply 245 by 0 (the units digit of 950):**\n \\[\n 245 \... |
What is the solution to the long multiplication equation below?
495 x 890
Think step by step. | 440550 | [
"To solve the long multiplication problem \\( 495 \\times 890 \\), we will break it down into smaller, manageable steps.\n\n### Step 1: Multiply 495 by 0\nFirst, we multiply 495 by 0. Since any number multiplied by 0 equals 0:\n\\[ 495 \\times 0 = 0 \\]\n\n### Step 2: Multiply 495 by 90\nNext, we multiply 495 by 90... |
What is the solution to the long multiplication equation below?
964 x 550
Think step by step. | 530200 | [
"To solve the long multiplication problem \\(964 \\times 550\\), we will follow the standard long multiplication algorithm. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 6 & 4 \\\\\n \\times & 5 & 5 & 0 \\\\\n \\end{array}\n \\]\n\n2. **Multiply... |
What is the solution to the long multiplication equation below?
351 x 562
Think step by step. | 197262 | [
"To solve the long multiplication equation \\(351 \\times 562\\), we will break it down into simpler steps and multiply each digit of the first number by each digit of the second number, then sum the results.\n\n### Step-by-Step Solution:\n\n1. **Multiply 351 by 2:**\n \\[\n 351 \\times 2 = 702\n \\]\n\n2. **... |
What is the solution to the long multiplication equation below?
428 x 478
Think step by step. | 204584 | [
"To solve the long multiplication problem \\(428 \\times 478\\), we'll follow the standard long multiplication algorithm. Let's break it down step by step:\n\n### Step 1: Set up the multiplication\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n & 4 & 2 & 8 \\\\\n\\times & 4 & 7 & 8 \\\\\n\\end{array}\n\\]\n\n### Step 2: Mult... |
What is the solution to the long multiplication equation below?
963 x 403
Think step by step. | 388089 | [
"To solve the long multiplication equation \\(963 \\times 403\\), we will break it down into smaller, manageable steps. Here's how you can do it:\n\n1. **Multiply 963 by 3 (the units digit of 403):**\n \\[\n 963 \\times 3 = 2889\n \\]\n\n2. **Multiply 963 by 0 (the tens digit of 403, which is effectively 00):... |
What is the solution to the long multiplication equation below?
668 x 371
Think step by step. | 247828 | [
"To solve the long multiplication equation \\(668 \\times 371\\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply 668 by 1 (the units digit of 371):**\n \\[\n 668 \\times 1 = 668\n \\]\n\n2. **Multiply 668 by 7 (the tens digit of 371, which is 70):**\... |
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'll follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 1 & 2 & 7 \\\\\n \\times & & 3 & 7 & 4 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. ... |
What is the solution to the long multiplication equation below?
829 x 416
Think step by step. | 344864 | [
"To solve the long multiplication equation \\(829 \\times 416\\), we'll follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 829 by 6 (the units digit of 416):**\n \\[\n 829 \\times 6 = 4974\n \\]\n Write down 4974.\n\n2. **Multiply 829 by 1 (the tens digit of 416):**\n \\[... |
What is the solution to the long multiplication equation below?
776 x 205
Think step by step. | 159080 | [
"To solve the long multiplication equation \\( 776 \\times 205 \\), we will break it down into smaller steps. Here's how you can do it:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 776 \\times 205 = 776 \\times (200 + 5)\n \\]\n This is because 205 can be thought of as 200 + 5.\n\n2. ... |
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\\), we will break it down into simpler steps and perform the multiplication in a systematic way.\n\n1. **Break down the multiplication:**\n - First, multiply 636 by 30.\n - Then, multiply 636 by 60.\n\n2. **Calculate \\(636 \\times 30\\):**\n - \\(6... |
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 \\times 970 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Write the numbers in a vertical format:**\n \\[\n \\begin{array}{r}\n 883 \\\\\n \\times 970 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 883 by 0:**\n ... |
What is the solution to the long multiplication equation below?
682 x 458
Think step by step. | 312356 | [
"To solve the long multiplication problem \\( 682 \\times 458 \\), we'll follow the standard long multiplication algorithm.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 682 \\\\\n \\times 458 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 682 by 8:**\n \\[\n \\begin{array}{r}\n ... |
What is the solution to the long multiplication equation below?
967 x 333
Think step by step. | 322011 | [
"To solve the long multiplication problem \\( 967 \\times 333 \\), we will follow the standard algorithm for multiplication, breaking it down into smaller steps for clarity.\n\n1. **Multiply 967 by 3 (the units digit of 333):**\n \\[\n 967 \\times 3 = 2901\n \\]\n\n2. **Multiply 967 by 30 (the tens digit of 3... |
What is the solution to the long multiplication equation below?
234 x 392
Think step by step. | 91728 | [
"To solve the long multiplication equation \\(234 \\times 392\\), we will break it down into simpler steps by performing the multiplication in parts. Here's the step-by-step process:\n\n1. **Multiply 234 by 2:**\n \\[\n 234 \\times 2 = 468\n \\]\n\n2. **Multiply 234 by 90 (which is 392 - 2):**\n \\[\n 234... |
What is the solution to the long multiplication equation below?
547 x 293
Think step by step. | 160271 | [
"To solve the long multiplication problem \\( 547 \\times 293 \\), we will break it down into smaller steps.\n\n1. **Break down the multiplication:**\n \\[\n 547 \\times 293 = 547 \\times (200 + 90 + 3)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n 547 \\times 293 = 547 \\times 200 + 547 \\times ... |
What is the solution to the long multiplication equation below?
386 x 166
Think step by step. | 64076 | [
"To solve the long multiplication equation \\( 386 \\times 166 \\), we will break it down into steps:\n\n### Step 1: Break down the numbers\nWe can rewrite 166 as \\( 100 + 60 + 6 \\).\n\n### Step 2: Multiply 386 by 60\n\\[ 386 \\times 60 = 386 \\times (6 \\times 10) = (386 \\times 6) \\times 10 \\]\n\nFirst, calcu... |
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 \\times 342\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 5 & 4 & 8 \\\\\n \\times & 3 & 4 & 2 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 5... |
What is the solution to the long multiplication equation below?
666 x 918
Think step by step. | 611388 | [
"To solve the long multiplication equation \\(666 \\times 918\\), we can break it down into simpler steps by handling each digit of 666 separately with the digits of 918. Here's the step-by-step process:\n\n1. **Multiply 666 by 8 (the units digit of 918):**\n \\[\n 666 \\times 8 = 5328\n \\]\n\n2. **Multiply ... |
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