question string | solution string | model_responses list |
|---|---|---|
What is the solution to the long multiplication equation below?
8274 x 3529
Think step by step. | 29198946 | [
"To solve the long multiplication equation \\(8274 \\times 3529\\), we will break it down into smaller steps:\n\n1. **Break down the numbers:**\n \\[\n 8274 = 8000 + 274\n \\]\n \\[\n 3529 = 3000 + 529\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n ... |
What is the solution to the long multiplication equation below?
9341 x 4130
Think step by step. | 38578330 | [
"To solve the long multiplication problem \\( 9341 \\times 4130 \\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 9341\n x 4130\n ------\n ```\n\n2. **Multiply the top number by the ones digit of the bottom numbe... |
What is the solution to the long multiplication equation below?
6637 x 5510
Think step by step. | 36569870 | [
"To solve the long multiplication problem \\( 6637 \\times 5510 \\), we can break it down into simpler steps for clarity:\n\n1. **Multiply 6637 by 10:**\n \\[\n 6637 \\times 10 = 66370\n \\]\n This is the first part completed.\n\n2. **Multiply 6637 by 5 (considering the carry from the previous step):**\n ... |
What is the solution to the long multiplication equation below?
5086 x 6642
Think step by step. | 33781212 | [
"To solve the long multiplication equation for \\( 5086 \\times 6642 \\), follow these steps:\n\n1. **Break down the numbers into smaller parts**:\n - Split 5086 into 5000 and 86.\n - Split 6642 into 6600 and 42.\n\n2. **Write the equation using these parts**:\n \\[\n (5000 + 86) \\times (6600 + 42)\n \\]... |
What is the solution to the long multiplication equation below?
8996 x 8373
Think step by step. | 75323508 | [
"To solve the long multiplication equation \\(8996 \\times 8373\\), we can break it down into simpler steps:\n\n1. **Multiply the numbers separately**: First, calculate \\(8996 \\times 8000\\), and then calculate \\(8996 \\times 3\\).\n2. **Add the results together**: Since \\(8000\\) is 8 times \\(1000\\), we can ... |
What is the solution to the long multiplication equation below?
9275 x 6116
Think step by step. | 56725900 | [
"To solve the long multiplication equation \\(9275 \\times 6116\\), we will break it down step by step:\n\n1. **Break down the numbers:**\n \\[\n 9275 = 9000 + 275\n \\]\n \\[\n 6116 = 6000 + 116\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n 9000 \... |
What is the solution to the long multiplication equation below?
1556 x 1996
Think step by step. | 3105776 | [
"To solve the multiplication problem \\( 1556 \\times 1996 \\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{\\quad}c}\n & 1556 \\\\\n \\times & 1996 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 1556 by 6 (t... |
What is the solution to the long multiplication equation below?
3622 x 5165
Think step by step. | 18707630 | [
"To solve the long multiplication equation \\(3622 \\times 5165\\), we will follow the standard long multiplication algorithm. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3622 \\\\\n \\times 5165 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication:*... |
What is the solution to the long multiplication equation below?
6624 x 7409
Think step by step. | 49077216 | [
"To solve the long multiplication problem \\( 6624 \\times 7409 \\), we'll follow the steps of traditional long multiplication. Let’s break it down step by step:\n\n1. **Multiply the units digit of the dividend by the units digit of the multiplier:**\n\n\\[\n6624 \\times 9 = 5989\n\\]\n\n2. **Multiply the units di... |
What is the solution to the long multiplication equation below?
2861 x 2656
Think step by step. | 7598816 | [
"To solve the long multiplication equation \\(2861 \\times 2656\\), we will break it down step by step:\n\n1. **Break down the numbers:**\n \\[\n 2861 = 2800 + 61\n \\]\n \\[\n 2656 = 2600 + 56\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n 2800 \\t... |
What is the solution to the long multiplication equation below?
5432 x 5137
Think step by step. | 27904184 | [
"To solve the long multiplication of 5432 and 5137, follow these steps:\n\n1. **Multiply each digit of the smaller number by each digit of the larger number, starting from the right:**\n\n \\[\n 2 \\times 7 = 14\n \\]\n Write down 4 and carry over 1.\n\n2. **Multiply each digit of the smaller number by the ... |
What is the solution to the long multiplication equation below?
3333 x 6350
Think step by step. | 21164550 | [
"To solve the long multiplication equation \\(3333 \\times 6350\\), follow these steps:\n\n1. Write the numbers one under the other, aligning the digits by place value.\n \\[\n \\begin{array}{r}\n 3333 \\\\\n \\times 6350 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply the top number (3333) by ea... |
What is the solution to the long multiplication equation below?
3873 x 5395
Think step by step. | 20894835 | [
"To solve the long multiplication of 3873 and 5395, follow these steps:\n\n1. **Multiply the ones place of the first number by the ones place of the second number:**\n \\[\n 3873 \\times 5395 \\times 1 = 3873\n \\]\n\n2. **Multiply the ones place of the first number by the tens place of the second number** (r... |
What is the solution to the long multiplication equation below?
8599 x 8263
Think step by step. | 71053537 | [
"To solve the long multiplication of 8599 and 8263, follow these steps:\n\n1. **Multiply the units digits**: Multiply 9 by 3, which equals 27. Write down 7 and carry over 2.\n2. **Multiply the tens digits and add the carry**: Multiply 9 by 2 (which is in the tens place), which equals 18. Add the carry-over 2 from t... |
What is the solution to the long multiplication equation below?
5260 x 3177
Think step by step. | 16711020 | [
"Certainly! Let's solve the long multiplication equation \\( 5260 \\times 3177 \\) step by step.\n\n### Step 1: Set up the multiplication\nWe write the numbers in a column format, aligning them by the place values.\n\n```\n 5260\n × 3177\n _______\n```\n\n### Step 2: Multiply 5260 by 7 (the units digit of 3... |
What is the solution to the long multiplication equation below?
3170 x 6883
Think step by step. | 21819110 | [
"Certainly! Let's break down the multiplication step by step:\n\n1. **Multiply the units digits:**\n - Multiply 3 (from 3170) by 8 (from 6883):\n \\[\n 3 \\times 8 = 24\n \\]\n - Write down 4 and carry over 2.\n\n2. **Multiply the tens digits and shift one place to the left:**\n - Multiply 1 (from... |
What is the solution to the long multiplication equation below?
7940 x 3761
Think step by step. | 29862340 | [
"To solve the long multiplication equation \\( 7940 \\times 3761 \\), we'll break it down into a series of steps:\n\n### Step 1: Multiply by the ones place\nFirst, we'll calculate \\( 7940 \\times 1 \\).\n\n\\[ 7940 \\times 1 = 7940 \\]\n\n### Step 2: Multiply by the tens place\nNext, multiply \\( 7940 \\) by the t... |
What is the solution to the long multiplication equation below?
8439 x 3868
Think step by step. | 32642052 | [
"To solve the long multiplication equation \\( 8439 \\times 3868 \\), we'll follow the standard long multiplication method step by step. Here's the process:\n\n1. **Set up the problem:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 8 & 4 & 3 & 9 \\\\\n \\times & 3 & 8 & 6 & 8 \\\\\n \\end{array}\n \\]\n\n2. ... |
What is the solution to the long multiplication equation below?
3965 x 8023
Think step by step. | 31811195 | [
"To solve the long multiplication equation \\(3965 \\times 8023\\), we'll follow these steps:\n\n1. **Set up the multiplication**: We'll break it down into smaller parts, multiplying each digit of the first number by each digit of the second number.\n\n2. **Multiply 3965 by 3 (the units digit of 8023)**:\n \\[\n ... |
What is the solution to the long multiplication equation below?
8151 x 9564
Think step by step. | 77956164 | [
"To solve the long multiplication equation \\(8151 \\times 9564\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply the numbers as if they were long ones (8151 and 9564).**\n\n \\[\n \\begin{array}{r}\n 8151 \\\\\n \\times 9564 \\\\\n \\hline\n \\end{arra... |
What is the solution to the long multiplication equation below?
9467 x 7280
Think step by step. | 68919760 | [
"To solve the long multiplication equation \\( 9467 \\times 7280 \\), we'll break it down into smaller, manageable steps:\n\n### Step 1: Break down the numbers\n\\( 9467 \\) can be thought of as \\( 9000 + 467 \\)\n\\( 7280 \\) can be thought of as \\( 7000 + 280 \\)\n\n### Step 2: Multiply each part of \\( 9467 \\... |
What is the solution to the long multiplication equation below?
2094 x 5907
Think step by step. | 12369258 | [
"To solve the long multiplication equation \\( 2094 \\times 5907 \\), we'll break it down into steps:\n\nStep 1: Multiply the units digits.\n2 × 7 = 14\n4 × 7 = 28\nMax. digit is 8.\n\nStep 2: Multiply the tens digits and write the result into the tens column.\n2 × 9 = 18\n2 + 8 = 10\nMax. digit is 0.\n\nStep 3: Mu... |
What is the solution to the long multiplication equation below?
4203 x 4688
Think step by step. | 19703664 | [
"To solve the long multiplication equation \\(4203 \\times 4688\\), we will follow the standard algorithm of long multiplication. \n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 4203 \\\\\n \\times 4688 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 4203 by 8 (the units digit... |
What is the solution to the long multiplication equation below?
3048 x 2402
Think step by step. | 7321296 | [
"To solve the long multiplication of 3048 and 2402, follow these steps:\n\n1. **Multiply the units digits of both numbers:**\n - Multiply 3048 by 2 (the units digit of 2402):\n \\[\n 3048 \\times 2 = 6096\n \\]\n - Write down 6096.\n\n2. **Multiply the tens digits of both numbers:**\n - Multiply 3... |
What is the solution to the long multiplication equation below?
9070 x 8127
Think step by step. | 73711890 | [
"To solve the long multiplication equation \\( 9070 \\times 8127 \\), we'll break it down into steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9070 \\\\\n \\times 8127 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 9070 by 7 (the units digit of 8127):**\n \\[\n 907 \\times 7 = ... |
What is the solution to the long multiplication equation below?
9857 x 4502
Think step by step. | 44376214 | [
"To solve the long multiplication equation \\(9857 \\times 4502\\), we can break it down into simpler steps:\n\n1. **Multiply 9857 by 5002:**\n \\[\n 9857 \\times 5002 = 9857 \\times (5000 + 2) = 9857 \\times 5000 + 9857 \\times 2\n \\]\n \\[\n 9857 \\times 5000 = 492850\n \\]\n \\[\n 9857 \\times 2... |
What is the solution to the long multiplication equation below?
3302 x 4938
Think step by step. | 16305276 | [
"To solve the long multiplication equation \\(3302 \\times 4938\\), we will follow the standard algorithm of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 3302 \\\\\n \\times & 4938 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply... |
What is the solution to the long multiplication equation below?
2298 x 1579
Think step by step. | 3628542 | [
"To solve the long multiplication equation \\(2298 \\times 1579\\), follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 2298 \\\\\n \\times 1579 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 2298 by 9 (the units digit of 1579):**\n \\[\n 2298 \\times 9 = 20622\n \\]... |
What is the solution to the long multiplication equation below?
2924 x 7977
Think step by step. | 23324748 | [
"To solve the long multiplication equation \\(2924 \\times 7977\\), follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 2924 \\\\\n \\times & 7977 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 2924 by 7 (this is the units digit of 7977):**\n \\[\n 2924 \\times 7 =... |
What is the solution to the long multiplication equation below?
3869 x 3758
Think step by step. | 14539702 | [
"To solve the long multiplication equation \\(3869 \\times 3758\\), we can break it down into simpler steps:\n\n1. **Multiply 3869 by 758:**\n - Multiply 3869 by 70 (to get the hundreds place)\n - Multiply 3869 by 58 (to get the tens place, then add the result with the hundreds place)\n\n2. **Multiply 3869 by 7... |
What is the solution to the long multiplication equation below?
4474 x 9008
Think step by step. | 40301792 | [
"To solve the long multiplication equation \\(4474 \\times 9008\\), we will follow these steps:\n\n1. **Break down the numbers:**\n - \\(4474\\) can be broken down into \\(4000 + 474\\).\n - \\(9008\\) can be broken down into \\(9000 + 800\\).\n\n2. **Multiply each part of the first number by each part of the s... |
What is the solution to the long multiplication equation below?
1506 x 4037
Think step by step. | 6079722 | [
"To solve the long multiplication equation \\( 1506 \\times 4037 \\), we will perform the multiplication step by step. This process involves multiplying each digit of the first number (1506) by each digit of the second number (4037), from right to left, and then summing the results.\n\nLet's break it down:\n\n1. **... |
What is the solution to the long multiplication equation below?
8915 x 3999
Think step by step. | 35651085 | [
"To solve the multiplication problem \\(8915 \\times 3999\\), we can use several methods, including the standard algorithm or the partial product method (also called the standard algorithm).\n\n**Method 1: Standard Algorithm**\n\nFirst, we write the numbers vertically and align them:\n\n\\[\n\\begin{array}{r}\n 89... |
What is the solution to the long multiplication equation below?
4629 x 7389
Think step by step. | 34203681 | [
"To solve the long multiplication equation \\(4629 \\times 7389\\), we will break it down step by step:\n\n### Step 1: Break down the numbers\nFirst, we break down the numbers into more manageable parts:\n- \\(4629\\) can be written as \\(4000 + 629\\)\n- \\(7389\\) can be written as \\(7000 + 389\\)\n\n### Step 2:... |
What is the solution to the long multiplication equation below?
8365 x 7965
Think step by step. | 66627225 | [
"To solve the long multiplication of 8365 and 7965, we will break it down into simpler steps:\n\n1. **Multiply the units digits**: 5 x 5 = 25\n2. **Write down the result**: 5\n3. **Shift the result one place to the left because we are multiplying by the tens digit**:\n - The 5 from the previous step shifted one p... |
What is the solution to the long multiplication equation below?
9659 x 2514
Think step by step. | 24282726 | [
"To solve the long multiplication equation \\(9659 \\times 2514\\), we can break it down into simpler steps:\n\n1. **Multiply 9659 by 5**: This is the first step because it involves only one digit.\n \\[\n 9659 \\times 5 = 4829\n \\]\n\n2. **Multiply 9659 by 10**: This is the second step because it involves t... |
What is the solution to the long multiplication equation below?
1834 x 5854
Think step by step. | 10736236 | [
"To solve the multiplication problem \\(1834 \\times 5854\\), we can break it down into simpler steps using the distributive property of multiplication over addition.\n\nStep by step:\n\n1. **Break down the numbers:**\n We can express 1834 as the sum of 1800 and 34, and 5854 as the sum of 5800 and 54.\n \n So... |
What is the solution to the long multiplication equation below?
6332 x 1853
Think step by step. | 11733196 | [
"To solve the long multiplication problem \\(6332 \\times 1853\\), we'll break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 6332 \\\\\n & 1853 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 6332 by 3 (the units digit of 1853):**\n \\[\n 6332 \\times 3 = 18... |
What is the solution to the long multiplication equation below?
6587 x 2961
Think step by step. | 19504107 | [
"To solve the long multiplication problem \\(6587 \\times 2961\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 6587 \\\\\n \\times & 2961 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 6587 by 1 (the units digit of 2961):**\n \\[\n 6587 \\time... |
What is the solution to the long multiplication equation below?
6009 x 5460
Think step by step. | 32809140 | [
"To solve the long multiplication equation \\(6009 \\times 5460\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 6009\n × 5460\n ------\n ```\n\n2. **Multiply the ones place of the bottom number by the... |
What is the solution to the long multiplication equation below?
1720 x 4837
Think step by step. | 8319640 | [
"To solve the long multiplication equation \\(1720 \\times 4837\\), we will break it down into smaller steps:\n\n1. **Break the numbers into parts**: \n - 1720 can be seen as \\(1700 + 20\\).\n - 4837 can be seen as \\(4800 + 37\\).\n\n2. **Multiply each part**:\n - First, multiply \\(1700 \\times 4837\\):\n ... |
What is the solution to the long multiplication equation below?
7771 x 6243
Think step by step. | 48514353 | [
"To solve the long multiplication equation \\( 7771 \\times 6243 \\), we'll follow the standard long multiplication method step by step. Here's the process:\n\n1. **Set up the problem:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 7771 \\\\\n \\times & 6243 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 7771 by... |
What is the solution to the long multiplication equation below?
6582 x 6291
Think step by step. | 41407362 | [
"To solve the long multiplication equation \\( 6582 \\times 6291 \\), we'll follow these steps:\n\n1. **Set up the multiplication**: We'll break this into smaller parts and then combine the results.\n\n2. **Multiply 6582 by 91**:\n \\[\n 6582 \\times 91 = 6582 \\times (90 + 1) = 6582 \\times 90 + 6582 \\times 1... |
What is the solution to the long multiplication equation below?
8898 x 1750
Think step by step. | 15571500 | [
"To solve the long multiplication problem \\(8898 \\times 1750\\), we can break it down into simpler steps:\n\n1. First, consider \\(8898 \\times 175\\).\n2. Then, multiply the result by 10.\n\n### Step 1: Multiply 8898 by 175\n\n#### Step 1.1: Break down 175 into 100, 75\n\\[ 8898 \\times 175 = 8898 \\times (100 +... |
What is the solution to the long multiplication equation below?
8307 x 8131
Think step by step. | 67544217 | [
"To solve the long multiplication equation \\(8307 \\times 8131\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8307 \\\\\n \\times 8131 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 8307 by 1 (the units digit of 8131):**\n \\[\n 8307 \\times 1 = 8307\... |
What is the solution to the long multiplication equation below?
9874 x 4589
Think step by step. | 45311786 | [
"To solve the long multiplication equation \\(9874 \\times 4589\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 9874 by 9 (the units digit of 4589):**\n \\[\n 9874 \\times 9 = 8886\n \\]\n\n2. **Multiply 9874 by 40 (the tens digit of 4589, which is shifted on... |
What is the solution to the long multiplication equation below?
5000 x 3258
Think step by step. | 16290000 | [
"To solve the long multiplication equation \\(5000 \\times 3258\\), we will perform the multiplication step by step.\n\n1. **Multiply 5000 by 8 (the units digit of 3258):**\n \\[\n 5000 \\times 8 = 40000\n \\]\n\n2. **Multiply 5000 by 30 (the tens digit of 3258, which is 30):**\n \\[\n 5000 \\times 30 = 1... |
What is the solution to the long multiplication equation below?
8519 x 6185
Think step by step. | 52690015 | [
"To solve the long multiplication equation \\(8519 \\times 6185\\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8519 \\\\\n \\times 6185 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 8519 by 5 (the units d... |
What is the solution to the long multiplication equation below?
6686 x 8827
Think step by step. | 59017322 | [
"To solve the long multiplication equation \\( 6686 \\times 8827 \\), we'll follow the standard long multiplication method step by step. Here's the process:\n\n1. **Set up the problem:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 6 & 6 & 8 \\\\\n \\times & 8 & 8 & 2 \\\\\n \\end{array}\n \\]\n\n2. **Multip... |
What is the solution to the long multiplication equation below?
4416 x 5084
Think step by step. | 22450944 | [
"To solve the long multiplication equation \\(4416 \\times 5084\\), we can follow these steps:\n\n1. **Break down the numbers**: \n - \\(4416\\) can be thought of as \\(4016 + 400\\).\n - \\(5084\\) can be thought of as \\(5004 + 80\\).\n\n2. **Multiply each part separately**:\n - \\(4016 \\times 5084\\)\n ... |
What is the solution to the long multiplication equation below?
2165 x 2976
Think step by step. | 6443040 | [
"To solve the long multiplication equation \\(2165 \\times 2976\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 2165 by 6 (the units digit of 2976):**\n \\[\n 2165 \\times 6 = 12990\n \\]\n\n2. **Multiply 2165 by 70 (the tens digit of 2976, which is 7 with a ... |
What is the solution to the long multiplication equation below?
6601 x 1713
Think step by step. | 11307513 | [
"To solve the long multiplication equation \\(6601 \\times 1713\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 6601\n x 1713\n ```\n\n2. **Multiply 6601 by 3 (the units digit of 1713)**:\n \\[\n 6601 \\times 3 = ... |
What is the solution to the long multiplication equation below?
4503 x 3441
Think step by step. | 15494823 | [
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What is the solution to the long multiplication equation below?
5257 x 8393
Think step by step. | 44122001 | [
"To solve the long multiplication equation \\(5257 \\times 8393\\), we will follow the standard algorithm of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 5257 \\\\\n \\times & 8393 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply... |
What is the solution to the long multiplication equation below?
3592 x 1116
Think step by step. | 4008672 | [
"To solve the long multiplication equation \\(3592 \\times 1116\\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3592 \\\\\n \\times 1116 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 3592 by 6 ... |
What is the solution to the long multiplication equation below?
9540 x 1875
Think step by step. | 17887500 | [
"To solve the long multiplication equation \\( 9540 \\times 1875 \\), we will break it down into smaller, manageable steps:\n\n### Step 1: Break down the numbers\n\\( 9540 \\) can be broken down into:\n\\( 9540 = 9000 + 540 \\)\n\n\\( 1875 \\) can be broken down into:\n\\( 1875 = 1500 + 375 \\)\n\n### Step 2: Multi... |
What is the solution to the long multiplication equation below?
5256 x 5185
Think step by step. | 27252360 | [
"To solve the long multiplication equation \\(5256 \\times 5185\\), follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers one above the other, aligning them by place value.\n\n ```\n 5256\n × 5185\n （）\n ```\n\n2. **Multiply**: Multiply 5256 by 5 (the units digit of 5185),... |
What is the solution to the long multiplication equation below?
4396 x 7461
Think step by step. | 32798556 | [
"To solve the long multiplication equation \\(4396 \\times 7461\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 4396 \\\\\n \\times 7461 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 4396 by 1 (the units digit of 7461):**\n \\[\n 4396 \\times 1 = 4396\... |
What is the solution to the long multiplication equation below?
4665 x 2421
Think step by step. | 11293965 | [
"To solve the long multiplication equation \\(4665 \\times 2421\\), we can break it down into simpler steps:\n\n1. **Multiply 4665 by 2400** (this is easy because 2400 is a round number):\n \\[\n 4665 \\times 2400 = 111300\n \\]\n\n2. **Multiply 4665 by 221** (this is also an easy number):\n \\[\n 4665 \\... |
What is the solution to the long multiplication equation below?
8509 x 6410
Think step by step. | 54542690 | [
"To solve the long multiplication of 8509 and 6410, follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 8509\n x 6410\n ------\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now)**:\n - Multiply ... |
What is the solution to the long multiplication equation below?
7117 x 8636
Think step by step. | 61462412 | [
"To solve the long multiplication equation \\( 7117 \\times 8636 \\), we'll follow the standard long multiplication method step by step. Here's the process:\n\n1. **Set up the problem:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 7 & 1 & 1 \\\\\n \\times & 8 & 6 & 3 \\\\\n \\end{array}\n \\]\n\n2. **Multip... |
What is the solution to the long multiplication equation below?
1111 x 5441
Think step by step. | 6044951 | [
"To solve the long multiplication equation \\(1111 \\times 5441\\), we will break it down into manageable steps:\n\n### Step 1: Multiply the smaller numbers\nFirst, we will multiply 1111 by 41:\n\\[ 1111 \\times 41 \\]\n\n### Step 2: Multiply the smaller numbers\nNext, we will multiply 1111 by 50 (which is the same... |
What is the solution to the long multiplication equation below?
7026 x 6617
Think step by step. | 46491042 | [
"To solve the long multiplication equation \\( 7026 \\times 6617 \\), we'll follow these steps:\n\n1. **Set up the multiplication**: We'll break this into smaller parts, multiplying by the ones place of the second number and then by the tens place.\n\n2. **First part: Multiply by the ones place of 6617**:\n \\[\n... |
What is the solution to the long multiplication equation below?
1713 x 3976
Think step by step. | 6810888 | [
"To solve the long multiplication equation \\(1713 \\times 3976\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 1713 \\\\\n \\times 3976 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication:**\n \\[\n 1713 \\times 3976 = 1713 \\times (400... |
What is the solution to the long multiplication equation below?
7718 x 7089
Think step by step. | 54712902 | [
"To solve the long multiplication equation \\( 7718 \\times 7089 \\), we'll break it down into a series of steps:\n\n### Step 1: Multiply by the units digit\nFirst, we'll calculate \\( 7718 \\times 9 \\).\n\n\\[\n7718 \\times 9 = 6934\n\\]\n\n### Step 2: Multiply by the tens digit\nNext, multiply \\( 7718 \\) by th... |
What is the solution to the long multiplication equation below?
2126 x 6425
Think step by step. | 13659550 | [
"To solve the long multiplication equation \\(2126 \\times 6425\\), we can break it down into simpler steps:\n\n1. **Multiply 2126 by 425** first, and then multiply 2126 by 20 (since 6425 is 20 times 341).\n\n - First multiplication:\n \\[\n 2126 \\times 425 = 2126 \\times (40 + 25) = 2126 \\times ... |
What is the solution to the long multiplication equation below?
5330 x 9102
Think step by step. | 48513660 | [
"Certainly! Let's break down the multiplication step by step.\n\n1. **Multiply the units digits:**\n - Multiply 3 (from 5330) by 2 (from 9102):\n \\[\n 3 \\times 2 = 6\n \\]\n - Write down 6.\n\n2. **Multiply the tens digits:**\n - Multiply 3 (from 5330) by 1 (from 9102):\n \\[\n 3 \\times... |
What is the solution to the long multiplication equation below?
9523 x 8589
Think step by step. | 81793047 | [
"To solve the long multiplication equation \\( 9523 \\times 8589 \\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 9523\n x 8589\n ------\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now)**:... |
What is the solution to the long multiplication equation below?
8013 x 4459
Think step by step. | 35729967 | [
"To solve the multiplication problem \\( 8013 \\times 4459 \\), we will follow the standard algorithm of long multiplication.\n\nStep 1: \nWe start by multiplying the digits of 8013 by 9 (the units digit of 4459):\n\\[ 8013 \\times 9 = 7217 \\]\n\nStep 2: \nNow, we multiply the digits of 8013 by 40 (the tens digit ... |
What is the solution to the long multiplication equation below?
8339 x 3250
Think step by step. | 27101750 | [
"To solve the long multiplication problem \\(8339 \\times 3250\\), follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8339 \\\\\n \\times 3250 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 8339 by 5 (the units digit of 3250):**\n \\[\n 8339 \\times 5 = 4169... |
What is the solution to the long multiplication equation below?
7102 x 4592
Think step by step. | 32612384 | [
"To solve the long multiplication of 7102 and 4592, follow these steps:\n\n1. **Multiply each digit of the larger number by each digit of the smaller number, starting from the right:**\n\n \\[\n \\begin{array}{c@{}c@{}c}\n & 7 & 1 & 0 \\\\\n \\times & 4 & 5 & 9 \\\\\n \\hline\n \\end{array}\n \\]\n\... |
What is the solution to the long multiplication equation below?
5186 x 5585
Think step by step. | 28963810 | [
"To solve the long multiplication equation \\(5186 \\times 5585\\), we'll break it down into steps:\n\n1. **Multiply by the ones place of the second number:**\n \\[\n 5186 \\times 5 = 25930\n \\]\n\n2. **Multiply by the tens place of the second number:**\n \\[\n 5186 \\times 8 = 41488\n \\]\n Since th... |
What is the solution to the long multiplication equation below?
4008 x 8708
Think step by step. | 34901664 | [
"To solve the long multiplication equation \\(4008 \\times 8708\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply the numbers end by end:**\n - Multiply 8708 by 8 (the units digit of 4008):\n \\[\n 8708 \\times 8 = 696\n \\]\n - Multiply 8708 by 40 (t... |
What is the solution to the long multiplication equation below?
8674 x 1565
Think step by step. | 13574810 | [
"To solve the long multiplication equation \\( 8674 \\times 1565 \\), we'll break it down into a series of simpler multiplications. Here's the step-by-step process:\n\n1. **Break down the multiplication:**\n \\[\n 8674 \\times 1565 = 8674 \\times (1500 + 5)\n \\]\n\n2. **Apply the distributive property:**\n ... |
What is the solution to the long multiplication equation below?
9635 x 9111
Think step by step. | 87784485 | [
"To solve the long multiplication equation \\(9635 \\times 9111\\), follow these steps:\n\n1. **Set up the multiplication**:\n \\[\n \\begin{array}{c@{}c@{}c}\n & 9 & 6 & 3 \\\\\n \\times & 9 & 1 & 1 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 9635 by 1**:\n \\[\n 9635 \\times 1 = 9635\n \\]\n ... |
What is the solution to the long multiplication equation below?
4731 x 9027
Think step by step. | 42706737 | [
"To solve the long multiplication equation \\( 4731 \\times 9027 \\), we'll follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 4731 \\\\\n \\times 9027 \\\\\n \\end{array}\n \\]\n\n2. **Break it down into smaller parts:**\n\n \\[\n 4731 \\times 9027 = 4731 \\tim... |
What is the solution to the long multiplication equation below?
9328 x 2277
Think step by step. | 21239856 | [
"To solve the long multiplication equation \\( 9328 \\times 2277 \\), we'll break it down into steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9328 \\\\\n \\times 2277 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 9328 by 7 (the units digit of 2277):**\n \\[\n 9328 \\times 7 =... |
What is the solution to the long multiplication equation below?
5492 x 1469
Think step by step. | 8067748 | [
"To solve the long multiplication equation \\( 5492 \\times 1469 \\), we'll follow the steps of multiplication and then carry over any results:\n\n1. **Multiply the units digits:**\n - Multiply 92 by 9:\n \\[\n 92 \\times 9 = 888\n \\]\n\n2. **Multiply the tens digits:**\n - Multiply 92 by 4 (which ... |
What is the solution to the long multiplication equation below?
4459 x 3344
Think step by step. | 14910896 | [
"To solve the long multiplication equation \\(4459 \\times 3344\\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 4459 \\\\\n \\times 3344 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 4459 by 4 ... |
What is the solution to the long multiplication equation below?
4792 x 6273
Think step by step. | 30060216 | [
"To solve the long multiplication equation \\(4792 \\times 6273\\), we can break it down into simpler steps:\n\n1. **Break the numbers into smaller parts**: \n - Multiply 4792 by 273.\n - Then multiply 4792 by 60 (since 6273 = 60 + 3).\n - Add the results of these two multiplications.\n\n2. **Perform the mult... |
What is the solution to the long multiplication equation below?
5141 x 4616
Think step by step. | 23730856 | [
"To solve the long multiplication equation \\( 5141 \\times 4616 \\), we'll follow the steps of traditional long multiplication. Let’s break it down step by step:\n\n1. **Multiply the units digit of the dividend by the units digit of the multiplier:**\n\n\\[\n5141 \\times 6 = 3084\n\\]\n\n2. **Multiply the units d... |
What is the solution to the long multiplication equation below?
1604 x 5544
Think step by step. | 8892576 | [
"To solve the long multiplication of \\( 1604 \\times 5544 \\), we will break it down step by step:\n\n1. **Break down the numbers:**\n - \\( 1604 \\) can be written as \\( 1000 + 604 \\).\n - \\( 5544 \\) can be written as \\( 5000 + 544 \\).\n\n2. **Multiply each part of the first number by each part of the s... |
What is the solution to the long multiplication equation below?
3119 x 1991
Think step by step. | 6209929 | [
"To solve the long multiplication equation \\(3119 \\times 1991\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3119 \\\\\n \\times 1991 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication into smaller steps:**\n \\[\n 3119 \\times 1991 ... |
What is the solution to the long multiplication equation below?
3900 x 2576
Think step by step. | 10046400 | [
"To solve the long multiplication equation \\(3900 \\times 2576\\), we can break it down into simpler steps:\n\n1. **Multiply 3900 by 576:**\n \\[\n 3900 \\times 576 = 3900 \\times (500 + 76) = 3900 \\times 500 + 3900 \\times 76\n \\]\n - First part: \\(3900 \\times 500 = 195000\\)\n - Second part: \\(390... |
What is the solution to the long multiplication equation below?
4385 x 5148
Think step by step. | 22573980 | [
"To solve the long multiplication equation \\(4385 \\times 5148\\), we can break it down into simpler steps:\n\n1. **Multiply 4385 by 8 (the units digit of 5148):**\n \\[\n 4385 \\times 8 = 34720\n \\]\n\n2. **Multiply 4385 by 5 (the tens digit of 5148, which is 5148's tens place value):**\n \\[\n 4385 \\... |
What is the solution to the long multiplication equation below?
5341 x 4100
Think step by step. | 21898100 | [
"To solve the long multiplication problem \\(5341 \\times 4100\\), follow these steps:\n\n1. **Set up the multiplication**: Write 5341 outside a rectangle and 4100 inside the rectangle.\n\n```\n 5341\n x 4100\n```\n\n2. **Multiply 5341 by 0**: Write the units digit of 5341, which is 1, in the top row of the mu... |
What is the solution to the long multiplication equation below?
3565 x 4332
Think step by step. | 15443580 | [
"To solve the long multiplication equation \\(3565 \\times 4332\\), we can break it down into simpler steps:\n\n1. **Multiply 3565 by 3 (the units digit of 4332):**\n \\[\n 3565 \\times 3 = 10695\n \\]\n\n2. **Multiply 3565 by 40 (the tens digit of 4332, which is 4 * 10):**\n \\[\n 3565 \\times 40 = 3565 ... |
What is the solution to the long multiplication equation below?
9458 x 9345
Think step by step. | 88385010 | [
"To solve the long multiplication equation \\(9458 \\times 9345\\), we will follow these steps:\n\n1. **Break down the numbers:**\n \\[\n 9458 = 9000 + 458\n \\]\n \\[\n 9345 = 9000 + 345\n \\]\n\n2. **Use the distributive property:**\n \\[\n 9458 \\times 9345 = (9000 + 458) \\times (9000 + 345)\n ... |
What is the solution to the long multiplication equation below?
1029 x 3791
Think step by step. | 3900939 | [
"To solve the long multiplication equation \\(1029 \\times 3791\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 1029 \\\\\n \\times & 3791 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n &... |
What is the solution to the long multiplication equation below?
3918 x 7134
Think step by step. | 27951012 | [
"To solve the long multiplication equation \\(3918 \\times 7134\\), we will break it down into manageable steps:\n\n### Step 1: Break the numbers into parts\nLet's split 3918 and 7134 into simpler parts:\n- \\(3918\\) can be written as \\(3000 + 918\\)\n- \\(7134\\) can be written as \\(7000 + 134\\)\n\n### Step 2:... |
What is the solution to the long multiplication equation below?
2076 x 8080
Think step by step. | 16774080 | [
"To solve the long multiplication equation \\(2076 \\times 8080\\), we can follow these steps:\n\n1. Write down the numbers in a column format, aligning the digits by place value.\n \\[\n \\begin{array}{r}\n 2076 \\\\\n \\times 8080 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply the numbers as y... |
What is the solution to the long multiplication equation below?
1046 x 6743
Think step by step. | 7053178 | [
"To solve the long multiplication equation \\(1046 \\times 6743\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply the digits of one number by the other number's units digit:**\n - Multiply 4 by 3 (the units digit of 6743).\n \\[\n 4 \\times 3 = 12\n \\]... |
What is the solution to the long multiplication equation below?
4904 x 5189
Think step by step. | 25446856 | [
"To solve the long multiplication equation \\(4904 \\times 5189\\), follow these steps:\n\n1. **Break down the numbers**:\n - \\(4904\\) can be broken down into \\(4900 + 4\\).\n - \\(5189\\) can be broken down into \\(5000 + 189\\).\n\n2. **Multiply each part of one number by each part of the other number**:\n... |
What is the solution to the long multiplication equation below?
3150 x 9281
Think step by step. | 29235150 | [
"To solve the long multiplication equation \\(3150 \\times 9281\\), we will break it down into manageable steps:\n\n### Step 1: Break down the numbers\nFirst, rewrite \\(3150\\) and \\(9281\\):\n\\[\n3150 = 31 \\times 100\n\\]\n\\[\n9281 = 928 \\times 10\n\\]\n\n### Step 2: Multiply the units digits\nMultiply \\(31... |
What is the solution to the long multiplication equation below?
5926 x 5429
Think step by step. | 32172254 | [
"To solve the long multiplication equation \\(5926 \\times 5429\\), we will follow the standard method of long multiplication, which involves multiplying each digit of the first number by each digit of the second number, then adding the results.\n\nHere's a step-by-step breakdown:\n\n1. **Multiply 5926 by 9 (the un... |
What is the solution to the long multiplication equation below?
4782 x 3136
Think step by step. | 14996352 | [
"To solve the long multiplication equation \\(4782 \\times 3136\\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n ```\n 4782\n × 3136\n ```\n\n2. **Multiply 4782 by 6 (the units digit of 3136):**\n \\[\n 4782 \\times 6 = 2821... |
What is the solution to the long multiplication equation below?
3814 x 6819
Think step by step. | 26007666 | [
"To solve the long multiplication equation \\(3814 \\times 6819\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, aligning them by the rightmost digit.\n\n ```\n 3814\n × 6819\n ------\n ```\n\n2. **Multiply 6819 by 4 (the rightmost digit of 3814)*... |
What is the solution to the long multiplication equation below?
9929 x 1429
Think step by step. | 14188541 | [
"To solve the long multiplication equation \\( 9929 \\times 1429 \\), we'll break it down step by step:\n\n### Step 1: Break down the numbers\nFirst, rewrite \\( 9929 \\) and \\( 1429 \\):\n\\[\n\\begin{array}{r}\n 9929 \\\\\n\\times 1429 \\\\\n\\hline\n\\end{array}\n\\]\n\n### Step 2: Multiply 9929 by 9 (the unit... |
What is the solution to the long multiplication equation below?
9988 x 1859
Think step by step. | 18567692 | [
"To solve the long multiplication equation \\( 9988 \\times 1859 \\), we'll break it down and handle each step carefully.\n\n### Step 1: Break down the numbers\nFirst, break \\( 9988 \\) and \\( 1859 \\) into more manageable parts:\n\\[ 9988 = 9000 + 988 \\]\n\\[ 1859 = 1800 + 59 \\]\n\n### Step 2: Multiply each pa... |
What is the solution to the long multiplication equation below?
5593 x 1948
Think step by step. | 10895164 | [
"To solve the long multiplication equation \\( 5593 \\times 1948 \\), we'll follow the steps of traditional long multiplication. Let’s break it down step by step:\n\n1. **Multiply the ones place of the dividend by the ones place of the multiplier:**\n\n\\[\n5593 \\times 8 = 4474\n\\]\n\n2. **Multiply the ones plac... |
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