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 manageable steps. \n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8274 \\\\\n \\times 3529 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 8274 by 9 (the units digit of 3529):**\n ... |
What is the solution to the long multiplication equation below?
9341 x 4130
Think step by step. | 38578330 | [
"To solve the long multiplication equation \\( 9341 \\times 4130 \\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n### Step 1: Set up the multiplication\nWrite the numbers vertically:\n```\n 9341\n × 4130\n```\n\n### Step 2: Multiply each digit of the seco... |
What is the solution to the long multiplication equation below?
6637 x 5510
Think step by step. | 36569870 | [
"To solve the long multiplication equation \\(6637 \\times 5510\\), we will break it down into smaller steps.\n\n1. **Break down the numbers:**\n - \\(6637\\) can be broken down into \\(6000 + 600 + 30 + 7\\).\n - \\(5510\\) can be broken down into \\(5000 + 500 + 10\\).\n\n2. **Multiply each part of \\(6637\\)... |
What is the solution to the long multiplication equation below?
5086 x 6642
Think step by step. | 33781212 | [
"To solve the long multiplication equation \\(5086 \\times 6642\\), 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 5086 \\\\\n \\times 6642 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 5086 by 2 (th... |
What is the solution to the long multiplication equation below?
8996 x 8373
Think step by step. | 75323508 | [
"To solve the long multiplication problem \\( 8996 \\times 8373 \\), we will follow the standard long multiplication method.\n\n1. **Multiply 8996 by 3:**\n \\[\n 8996 \\times 3 = 26988\n \\]\n\n2. **Multiply 8996 by 700 (since 8373 = 8000 + 373):**\n \\[\n 8996 \\times 700 = 8996 \\times 7 \\times 100 = ... |
What is the solution to the long multiplication equation below?
9275 x 6116
Think step by step. | 56725900 | [
"To solve the long multiplication problem \\( 9275 \\times 6116 \\), we will break it down into manageable steps. \n\n1. **Break down the numbers:**\n - \\( 9275 \\) can be written as \\( 9000 + 200 + 70 + 5 \\)\n - \\( 6116 \\) can be written as \\( 6000 + 100 + 10 + 6 \\)\n\n2. **Multiply each part of the fir... |
What is the solution to the long multiplication equation below?
1556 x 1996
Think step by step. | 3105776 | [
"To solve the long multiplication problem \\( 1556 \\times 1996 \\), we will break it down into smaller steps and multiply each digit of 1556 by each digit of 1996, then add the results.\n\n1. **Multiply 1556 by 6 (the units digit of 1996):**\n \\[\n 1556 \\times 6 = 9336\n \\]\n\n2. **Multiply 1556 by 90 (th... |
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 method. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3622 \\\\\n \\times 5165 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit ... |
What is the solution to the long multiplication equation below?
6624 x 7409
Think step by step. | 49077216 | [
"To solve the long multiplication equation \\(6624 \\times 7409\\), we will break it down into simpler steps by performing the multiplication in parts. Here's the step-by-step process:\n\n1. **Multiply 6624 by 9 (the units digit of 7409):**\n \\[\n 6624 \\times 9 = 59616\n \\]\n\n2. **Multiply 6624 by 0 (the ... |
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 into steps. Let's start by writing out the multiplication in a structured way:\n\n1. **Multiply 2861 by 656:**\n \\[\n \\begin{array}{r}\n 2861 \\\\\n \\times 656 \\\\\n \\hline\n 17066 \\\\ (2861 \\times 6) \... |
What is the solution to the long multiplication equation below?
5432 x 5137
Think step by step. | 27904184 | [
"To solve the long multiplication equation \\(5432 \\times 5137\\), we will perform the multiplication step by step.\n\n1. **Multiply 5432 by 7 (the units digit of 5137):**\n \\[\n 5432 \\times 7 = 38024\n \\]\n Write down 4 and carry over 8.\n\n2. **Multiply 5432 by 3 (the tens digit of 5137) and add the c... |
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\\), we will break it down into simpler steps. Let's start by writing out the multiplication:\n\n\\[\n3333 \\times 6350\n\\]\n\nWe can break this down into smaller multiplications:\n\n1. Multiply \\(3333\\) by \\(50\\):\n \\[\n 3333 \\times 50 = 333... |
What is the solution to the long multiplication equation below?
3873 x 5395
Think step by step. | 20894835 | [
"To solve the long multiplication problem \\(3873 \\times 5395\\), we'll break it down into smaller, manageable steps. Let's go through the process step by step.\n\n### Step 1: Break down the numbers\nFirst, let's write the numbers vertically and align them by their place values:\n\\[\n\\begin{array}{c@{}c@{}c@{}c@... |
What is the solution to the long multiplication equation below?
8599 x 8263
Think step by step. | 71053537 | [
"To solve the long multiplication equation \\(8599 \\times 8263\\), we'll break it down into manageable steps and use the standard algorithm for multiplication. Let's go through it step by step:\n\n1. **Multiply 8599 by 3 (the units digit of 8263):**\n \\[\n 8599 \\times 3 = 25797\n \\]\n Write down 7 and c... |
What is the solution to the long multiplication equation below?
5260 x 3177
Think step by step. | 16711020 | [
"To solve the long multiplication equation \\(5260 \\times 3177\\), we will break it down into simpler steps and perform the multiplication in a systematic way. Here is the step-by-step process:\n\n1. **Break down the numbers for easier multiplication:**\n \\[\n 5260 \\times 3177 = 5260 \\times (3000 + 100 + 70... |
What is the solution to the long multiplication equation below?
3170 x 6883
Think step by step. | 21819110 | [
"To solve the long multiplication equation \\(3170 \\times 6883\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 3170 by 3:**\n \\[\n 3170 \\times 3 = 9510\n \\]\n\n2. **Multiply 3170 by 80:**\n \\[\n 3170 \\times 80 = 253600\n \\]\n\n3. **Multiply 3170 by... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Write the numbers in place value columns:**\n\n \\[\n \\begin{array}{r}\n 7940 \\\\\n \\times 3761 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multipl... |
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 will break it down into steps and perform the multiplication.\n\n### Step 1: Break down the multiplication\nWe can break down the multiplication into smaller parts:\n\\[ 8439 \\times 3868 = 8439 \\times (3800 + 80 + 8) \\]\n\\[ = 8439 \\times 38... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3965 \\\\\n \\times 8023 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the first 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 long multiplication method. Let's break it down step by step.\n\n1. **Multiply 8151 by 4 (the units digit of 9564):**\n \\[\n 8151 \\times 4 = 32604\n \\]\n Write down 32604.\n\n2. **Multiply 8151 by 6 (the tens ... |
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 will break it down into manageable steps:\n\n1. **Break down the multiplication:**\n \\[\n 9467 \\times 7280 = 9467 \\times (7000 + 200 + 80)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n 9467 \\times 7280 = 9467 \\times 700... |
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 will follow the standard long multiplication method.\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 2094 \\\\\n \\times 5907 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the second number by the firs... |
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 long multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 4203 by 8:**\n \\[\n 4203 \\times 8 = 33624\n \\]\n Write down 33624.\n\n2. **Multiply 4203 by 60 (which is 4688 with the first di... |
What is the solution to the long multiplication equation below?
3048 x 2402
Think step by step. | 7321296 | [
"To solve the long multiplication equation \\(3048 \\times 2402\\), we will break it down into manageable steps.\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 3048 \\times 2402 = (3048 \\times 2400) + (3048 \\times 20) + (3048 \\times 2)\n \\]\n\n2. **Calculate each part separately:**\n ... |
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 will break it down into manageable steps and multiply each digit of the first number by each digit of the second number, then add the results.\n\nLet's start by writing down the numbers:\n\n\\[ 9070 \\]\n\\[ \\times 8127 \\]\n\nFirst, let's mult... |
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 will break it down into simpler steps and multiply each digit of the first number by each digit of the second number, then add the results.\n\n1. **Multiply 9857 by 2:**\n \\[\n 9857 \\times 2 = 19714\n \\]\n\n2. **Multiply 9857 by 50 (whi... |
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 break it down into manageable steps. Let's start by writing the numbers vertically and then proceed with the multiplication.\n\n1. **Multiply 3302 by 8:**\n \\[\n 3302 \\times 8 = 26416\n \\]\n Write down 26416.\n\n2. **Multiply 330... |
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\\), we will follow the standard long multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 2298 by 9 (the units digit of 1579):**\n \\[\n 2298 \\times 9 = 20682\n \\]\n Write down the units digit of this product, which is... |
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 \\), we'll follow the standard long multiplication method.\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 2924 \\\\\n \\times 7977 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 2924 by 7 (the units digit of 797... |
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'll break it down into manageable steps and multiply each digit of the first number by each digit of the second number, then add the results.\n\n1. **Multiply 3869 by 8 (the units digit of 3758):**\n \\[\n 3869 \\times 8 = 30952\n \\]\n\n... |
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 the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 4474 \\\\\n \\times 9008 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 4474 by 8 (the units digit ... |
What is the solution to the long multiplication equation below?
1506 x 4037
Think step by step. | 6079722 | [
"To solve the long multiplication problem \\(1506 \\times 4037\\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n1. **Multiply 1506 by 7:**\n \\[\n 1506 \\times 7 = 10542\n \\]\n\n2. **Multiply 1506 by 30 (which is 3000):**\n \\[\n 1506 \\times 30 = 45180\n ... |
What is the solution to the long multiplication equation below?
8915 x 3999
Think step by step. | 35651085 | [
"To solve the long multiplication problem \\(8915 \\times 3999\\), we will break it down into manageable steps:\n\n1. **Multiply 8915 by 9000:**\n \\[\n 8915 \\times 9000 = 8915 \\times (9 \\times 1000) = (8915 \\times 9) \\times 1000\n \\]\n First, calculate \\(8915 \\times 9\\):\n \\[\n 8915 \\times 9... |
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 perform the multiplication step by step.\n\n1. **Multiply 4629 by 9:**\n \\[\n 4629 \\times 9 = 41661\n \\]\n\n2. **Multiply 4629 by 80 (which is 8 * 10):**\n \\[\n 4629 \\times 80 = 4629 \\times (8 \\times 10) = (4629 \\times 8) ... |
What is the solution to the long multiplication equation below?
8365 x 7965
Think step by step. | 66627225 | [
"To solve the long multiplication equation \\( 8365 \\times 7965 \\), we will perform the multiplication step by step.\n\n### Step-by-Step Calculation:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8365 \\\\\n \\times 7965 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 8365 by 5 (the un... |
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 will break it down into manageable steps.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9659 \\\\\n \\times 2514 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 9659 by 4 (the units digit of 2514):**\n \... |
What is the solution to the long multiplication equation below?
1834 x 5854
Think step by step. | 10736236 | [
"To solve the long multiplication equation \\(1834 \\times 5854\\), we'll break it down into smaller steps to make the process manageable. Let's start by multiplying each digit of 1834 by each digit of 5854, and then summing up all the products.\n\n1. **Multiply 1834 by 5000 (the first digit of 5854):**\n \\[\n ... |
What is the solution to the long multiplication equation below?
6332 x 1853
Think step by step. | 11733196 | [
"To solve the long multiplication equation \\( 6332 \\times 1853 \\), we will perform the multiplication step by step.\n\n1. **Multiply 6332 by 3:**\n \\[\n 6332 \\times 3 = 19000\n \\]\n\n2. **Multiply 6332 by 50 (since 1853 = 1850 + 3):**\n \\[\n 6332 \\times 50 = 6332 \\times (100 + 50) = 6332 \\times ... |
What is the solution to the long multiplication equation below?
6587 x 2961
Think step by step. | 19504107 | [
"To solve the long multiplication equation \\( 6587 \\times 2961 \\), we will break it down into manageable steps and perform the multiplication.\n\n### Step 1: Multiply 6587 by 1 (units place of 2961)\n\\[\n6587 \\times 1 = 6587\n\\]\n\n### Step 2: Multiply 6587 by 60 (tens place of 2961)\n\\[\n6587 \\times 60 = 6... |
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 the standard long multiplication method.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 6009 \\\\\n \\times 5460 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the first number by the units d... |
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 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 1720 \\\\\n \\times 4837 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 7771 \\\\\n \\times 6243 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 7771 by 3 (the units digi... |
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 will break it down into smaller, manageable steps. Here's how we can do it:\n\n1. **Break down the numbers into smaller parts:**\n - \\(6582\\) can be written as \\(6000 + 500 + 80 + 2\\).\n - \\(6291\\) can be written as \\(6000 + 200 + 90 ... |
What is the solution to the long multiplication equation below?
8898 x 1750
Think step by step. | 15571500 | [
"To solve the long multiplication equation \\( 8898 \\times 1750 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8898 \\\\\n \\times 1750 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication into smaller parts:**\n \\[\n \\begin{array}{r}\... |
What is the solution to the long multiplication equation below?
8307 x 8131
Think step by step. | 67544217 | [
"To solve the long multiplication problem \\( 8307 \\times 8131 \\), we will follow the standard long multiplication algorithm. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8307 \\\\\n \\times 8131 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multip... |
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 multiplying large numbers. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9874 \\\\\n \\times 4589 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 9874 by 9:... |
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 can break it down into simpler steps by handling the multiplication in parts.\n\n1. **Break down the multiplication:**\n \\[\n 5000 \\times 3258 = 5000 \\times (3000 + 200 + 50 + 8)\n \\]\n\n2. **Distribute the multiplication:**\n \\[\n ... |
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 algorithm for 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 each digit of the multi... |
What is the solution to the long multiplication equation below?
6686 x 8827
Think step by step. | 59017322 | [
"To solve the long multiplication problem \\( 6686 \\times 8827 \\), we will break it down into several steps:\n\n### Step 1: Break down the numbers\n- \\( 6686 \\) is a four-digit number.\n- \\( 8827 \\) is a four-digit number.\n\n### Step 2: Multiply \\( 6686 \\) by \\( 7 \\)\nFirst, we multiply \\( 6686 \\) by \... |
What is the solution to the long multiplication equation below?
4416 x 5084
Think step by step. | 22450944 | [
"To solve the long multiplication problem \\( 4416 \\times 5084 \\), we'll follow the standard long multiplication method. Here's a step-by-step breakdown:\n\n1. **Multiply 4416 by 4 (the units digit of 5084):**\n \\[\n 4416 \\times 4 = 17664\n \\]\n Write down 17664.\n\n2. **Multiply 4416 by 8 (the tens di... |
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 break it down into smaller steps. Let's start by multiplying 2165 by 6, then by 70, then by 500, and finally by 20000. Here's the step-by-step process:\n\n1. Multiply 2165 by 6:\n \\[\n 2165 \\times 6 = 12990\n \\]\n\n2. Multiply 2165... |
What is the solution to the long multiplication equation below?
6601 x 1713
Think step by step. | 11307513 | [
"To solve the long multiplication problem \\( 6601 \\times 1713 \\), we will follow the standard long multiplication method. Let's break it down step by step.\n\n1. **Multiply 6601 by 3 (the units digit of 1713):**\n \\[\n 6601 \\times 3 = 19803\n \\]\n\n2. **Multiply 6601 by 1 (the tens digit of 1713):**\n ... |
What is the solution to the long multiplication equation below?
4503 x 3441
Think step by step. | 15494823 | [
"To solve the long multiplication problem \\(4503 \\times 3441\\), we will break it down into several steps.\n\n1. **Multiply 4503 by 1:**\n \\[\n 4503 \\times 1 = 4503\n \\]\n\n2. **Multiply 4503 by 4000 (since \\(3441 = 3441 \\times 1000\\)):**\n \\[\n 4503 \\times 4000 = 4503 \\times (3000 + 1000) = 45... |
What is the solution to the long multiplication equation below?
5257 x 8393
Think step by step. | 44122001 | [
"To solve the long multiplication problem \\( 5257 \\times 8393 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 5257 by 3 (the units digit of 8393):**\n \\[\n 5257 \\times 3 = 15771\n \\]\n Write down 15771.\n\n2. **Multiply 5257 by 9 (the tens digit of 8393... |
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 long multiplication method.\n\n1. **Set up the multiplication:**\n\n\\[\n\\begin{array}{r}\n3592 \\\\\n\\times 1116 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 3592 by 6 (the rightmost digit of 1116):**\n\n\\[\n\\begin{ar... |
What is the solution to the long multiplication equation below?
9540 x 1875
Think step by step. | 17887500 | [
"To solve the long multiplication problem \\(9540 \\times 1875\\), we will break it down into manageable steps:\n\n1. **Multiply 9540 by 5:**\n \\[\n 9540 \\times 5 = 47700\n \\]\n\n2. **Multiply 9540 by 70 (which is 10 times 7):**\n \\[\n 9540 \\times 70 = 9540 \\times (10 \\times 7) = (9540 \\times 10) ... |
What is the solution to the long multiplication equation below?
5256 x 5185
Think step by step. | 27252360 | [
"To solve the long multiplication problem \\( 5256 \\times 5185 \\), we will follow the standard algorithm for multiplication. Here's a step-by-step breakdown:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 5256 \\\\\n \\times 5185 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply... |
What is the solution to the long multiplication equation below?
4396 x 7461
Think step by step. | 32798556 | [
"To solve the long multiplication problem \\( 4396 \\times 7461 \\), we will 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}{r}\n4396 \\\\\n\\times 7461 \\\\\n\\end{array}\n\\]\n\n### Step 2: Multiply 4396 by 1 (the u... |
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 will break it down into smaller, manageable steps. Let's start by writing out the multiplication in a structured way:\n\n\\[\n\\begin{array}{r}\n4665 \\\\\n\\times 2421 \\\\\n\\hline\n\\end{array}\n\\]\n\nWe will multiply each digit of 4665 by 2... |
What is the solution to the long multiplication equation below?
8509 x 6410
Think step by step. | 54542690 | [
"To solve the long multiplication equation \\(8509 \\times 6410\\), we will break it down into smaller steps and perform the multiplication step by step.\n\nFirst, let's write out the multiplication in a way that makes it easier to manage:\n\n\\[\n\\begin{array}{r}\n 8509 \\\\\n\\times 6410 \\\\\n\\hline\n\\end... |
What is the solution to the long multiplication equation below?
7117 x 8636
Think step by step. | 61462412 | [
"To solve the long multiplication problem \\(7117 \\times 8636\\), we'll follow the standard long multiplication algorithm. Let's break it down step by step.\n\n### Step 1: Multiply 7117 by 6\n\\[\n\\begin{array}{r}\n 7117 \\\\\n\\times 6 \\\\\n\\hline\n 42702 \\\\\n\\end{array}\n\\]\n\n### Step 2: Multiply 7117 ... |
What is the solution to the long multiplication equation below?
1111 x 5441
Think step by step. | 6044951 | [
"To solve the long multiplication problem \\(1111 \\times 5441\\), we will break it down into smaller steps. Let's start by multiplying 1111 by 5441.\n\nFirst, let's write out the multiplication:\n\n\\[\n\\begin{array}{r}\n1111 \\\\\n\\times 5441 \\\\\n\\hline\n\\end{array}\n\\]\n\nWe will multiply 1111 by each dig... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Write the numbers one under the other, aligning the rightmost digits:**\n \\[\n \\begin{array}{r}\n 7026 \\\\\n \\times 6617 \\\\\n \\end{array}\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 problem \\(1713 \\times 3976\\), we will break it down into smaller steps by multiplying each digit of 1713 by each digit of 3976 and then summing up the results.\n\n1. **Multiply 1713 by 6 (the units digit of 3976):**\n \\[\n 1713 \\times 6 = 10278\n \\]\n\n2. **Multiply 171... |
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 steps. Let's start with the multiplication of \\(7718\\) and \\(9\\), then proceed with the multiplication of \\(7718\\) and \\(800\\), and finally the multiplication of \\(7718\\) and \\(7000\\). After that, we'll add all ... |
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 will break it down into smaller, manageable steps. Let's start by multiplying each digit of 2126 by each digit of 6425, and then summing the results.\n\n1. **Multiply 2126 by 5 (the units digit of 6425):**\n \\[\n 2126 \\times 5 = 10630\n ... |
What is the solution to the long multiplication equation below?
5330 x 9102
Think step by step. | 48513660 | [
"To solve the long multiplication problem \\(5330 \\times 9102\\), 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 5330 \\\\\n \\times 9102 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 5330 by 2 (t... |
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\\), we will follow the standard long multiplication method. Here's the step-by-step process:\n\n1. **Write the numbers one below the other, aligning the digits by place value:**\n\n \\[\n \\begin{array}{r}\n 9523 \\\\\n \\times 8589 \\\\\n ... |
What is the solution to the long multiplication equation below?
8013 x 4459
Think step by step. | 35729967 | [
"To solve the long multiplication problem \\( 8013 \\times 4459 \\), we will follow the standard long multiplication method. Here's the step-by-step process:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 8013 \\\\\n \\times 4459 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of... |
What is the solution to the long multiplication equation below?
8339 x 3250
Think step by step. | 27101750 | [
"To solve the long multiplication equation \\( 8339 \\times 3250 \\), we will break it down into simpler steps by handling each digit of the numbers separately.\n\n### Step 1: Break down the multiplication\n\\[ 8339 \\times 3250 = 8339 \\times (3000 + 200 + 50) \\]\n\n### Step 2: Distribute the multiplication\n\\[ ... |
What is the solution to the long multiplication equation below?
7102 x 4592
Think step by step. | 32612384 | [
"To solve the long multiplication problem \\(7102 \\times 4592\\), we will break it down into manageable steps:\n\n### Step 1: Break down the multiplication into smaller parts\nWe can break it down as follows:\n\\[7102 \\times 4592 = 7102 \\times (4000 + 500 + 90 + 2)\\]\n\n### Step 2: Multiply each part by 7102\n1... |
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 will break it down into manageable steps.\n\n### Step 1: Multiply 5186 by 5500\nFirst, we need to multiply 5186 by 5500. We can do this by multiplying 5186 by 5500 directly.\n\n\\[\n5186 \\times 5500 = 5186 \\times (55 \\times 100) = (5186 \\tim... |
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 break it down into smaller steps and multiply each digit of the first number by each digit of the second number, then add the results.\n\nHere's the step-by-step process:\n\n1. **Multiply 4008 by 8000 (the first digit of 8708):**\n \\[\n ... |
What is the solution to the long multiplication equation below?
8674 x 1565
Think step by step. | 13574810 | [
"To solve the long multiplication problem \\(8674 \\times 1565\\), we'll break it down into steps:\n\n### Step 1: Multiply 8674 by 5 (the units digit of 1565)\n\\[\n8674 \\times 5 = 43370\n\\]\n\n### Step 2: Multiply 8674 by 60 (the tens digit of 1565)\n\\[\n8674 \\times 60 = 8674 \\times (6 \\times 10) = (8674 \\t... |
What is the solution to the long multiplication equation below?
9635 x 9111
Think step by step. | 87784485 | [
"To solve the long multiplication problem \\(9635 \\times 9111\\), we will break it down into smaller steps and perform the multiplication using the standard long multiplication method.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9635 \\\\\n \\times 9111 \\\\\n \\end{array}\n \\]\... |
What is the solution to the long multiplication equation below?
4731 x 9027
Think step by step. | 42706737 | [
"To solve the long multiplication problem \\(4731 \\times 9027\\), 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 4731 \\\\\n \\times 9027 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 473... |
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 will follow the standard long multiplication method. Let's break it down step by step.\n\n### Step 1: Set up the multiplication\nWe will multiply each digit of the first number (9328) by each digit of the second number (2277), starting from the ... |
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 will perform the multiplication step by step.\n\n1. **Multiply 5492 by 9:**\n \\[\n 5492 \\times 9 = 48528\n \\]\n\n2. **Multiply 5492 by 60 (which is 10 times 6):**\n \\[\n 5492 \\times 60 = 329520\n \\]\n (We multiply 5492 by 6... |
What is the solution to the long multiplication equation below?
4459 x 3344
Think step by step. | 14910896 | [
"To solve the long multiplication problem \\( 4459 \\times 3344 \\), we'll break it down into steps and perform the multiplication.\n\n1. **Break down the numbers:**\n - \\( 4459 \\) can be split into \\( 4000 + 400 + 50 + 9 \\).\n - \\( 3344 \\) can be split into \\( 3000 + 300 + 40 + 4 \\).\n\n2. **Multiply e... |
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 will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 4792 by 3 (the units digit of 6273):**\n \\[\n 4792 \\times 3 = 14376\n \\]\n\n2. **Multiply 4792 by 70 (the tens digit of 6273, whic... |
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 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 5141 \\\\\n \\times 4616 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 5... |
What is the solution to the long multiplication equation below?
1604 x 5544
Think step by step. | 8892576 | [
"To solve the long multiplication problem \\(1604 \\times 5544\\), we will follow the standard long multiplication method. Here's a step-by-step breakdown:\n\n1. **Multiply 1604 by 4:**\n \\[\n 1604 \\times 4 = 6416\n \\]\n Write down 6416.\n\n2. **Multiply 1604 by 50 (which is 5 followed by 0):**\n \\[\n... |
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 perform the multiplication step by step. Let's break it down into manageable parts:\n\n### Step 1: Multiply 3119 by 1\n\\[\n3119 \\times 1 = 3119\n\\]\n\n### Step 2: Multiply 3119 by 9\n\\[\n3119 \\times 9 = 28071\n\\]\nTo do this, we can... |
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 will break it down into manageable steps:\n\n1. **Multiply 3900 by 6 (the units digit of 2576):**\n \\[\n 3900 \\times 6 = 23400\n \\]\n\n2. **Multiply 3900 by 70 (the tens digit of 2576):**\n \\[\n 3900 \\times 70 = 273000\n \\]\n\n... |
What is the solution to the long multiplication equation below?
4385 x 5148
Think step by step. | 22573980 | [
"To solve the long multiplication problem \\(4385 \\times 5148\\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply 4385 by 8 (the units digit of 5148):**\n \\[\n 4385 \\times 8 = 35080\n \\]\n\n2. **Multiply 4385 by 4 (the tens digit of 5148):**\n \... |
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 \\), we will break it down into simpler steps.\n\n### Step 1: Multiply 5341 by 400\nFirst, we need to multiply 5341 by 400. \n\n\\[\n5341 \\times 400 = 5341 \\times (4 \\times 100) = (5341 \\times 4) \\times 100\n\\]\n\nCalculate \\( 5341 \\times 4 \\)... |
What is the solution to the long multiplication equation below?
3565 x 4332
Think step by step. | 15443580 | [
"To solve the long multiplication problem \\( 3565 \\times 4332 \\), we will follow the standard long multiplication method. Here's the step-by-step process:\n\n1. **Multiply the ones place of the first number by each digit of the second number:**\n \\[\n 5 \\times 2 = 10\n \\]\n Write down 0 and carry over... |
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 the standard algorithm for multiplying multi-digit numbers. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 9458 \\\\\n \\times 9345 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Mul... |
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 the standard long multiplication method.\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 1029 \\\\\n \\times 3791 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of 1029 by 1 (the units digit of... |
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 follow the standard long multiplication method. Here's the step-by-step process:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3918 \\\\\n \\times 7134 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 3918 by 4 (t... |
What is the solution to the long multiplication equation below?
2076 x 8080
Think step by step. | 16774080 | [
"To solve the long multiplication problem \\(2076 \\times 8080\\), we will break it down into smaller steps and multiply each digit of the first number by each digit of the second number, then sum the results.\n\nLet's start by writing out the multiplication:\n\n\\[\n\\begin{array}{c@{}c@{}c@{}c@{}c}\n & 2 & 0 & 7 ... |
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 break it down into steps. Let's start by multiplying 1046 by 3, then by 40, then by 4000, and finally by 60000. \n\n1. **Multiply 1046 by 3:**\n \\[\n 1046 \\times 3 = 3138\n \\]\n\n2. **Multiply 1046 by 40:**\n \\[\n 1046 \\times... |
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\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 4904 \\\\\n \\times 5189 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the bottom nu... |
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 follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3150 \\\\\n \\times 9281 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 3150 by 1 (the rightmost ... |
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 long multiplication method. Let's break it down step by step:\n\n1. **Multiply 5926 by 9 (the units digit of 5429):**\n \\[\n 5926 \\times 9 = 53334\n \\]\n Write down 4 and carry over 3333.\n\n2. **Multiply 5926... |
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 break it down into smaller, manageable steps and perform the multiplication digit by digit.\n\n### Step-by-Step Solution:\n\n1. **Multiply 4782 by 6:**\n \\[\n 4782 \\times 6 = 28752\n \\]\n\n2. **Multiply 4782 by 30 (which is 3 times... |
What is the solution to the long multiplication equation below?
3814 x 6819
Think step by step. | 26007666 | [
"To solve the long multiplication of 3814 and 6819, we will follow the standard algorithm for multiplication. Here's the step-by-step process:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 3814 \\\\\n \\times 6819 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 3814 by 9 (the rightmost d... |
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 will follow the standard long multiplication method. Here are the steps:\n\n1. **Multiply 9929 by 9:**\n \\[\n \\begin{array}{r}\n 9929 \\\\\n \\times \\ 9 \\\\\n \\hline\n 89361 \\\\\n \\end{array}\n \\]\n\n2. **Multiply ... |
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 will break it down into manageable steps.\n\n### Step 1: Break down the multiplication into smaller parts\nWe can use the distributive property of multiplication over addition to simplify the calculation:\n\\[ 9988 \\times 1859 = 9988 \\times (1... |
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 will follow the standard algorithm for multiplying numbers. Here's a step-by-step breakdown:\n\n1. **Multiply 5593 by 8 (the units digit of 1948):**\n \\[\n 5593 \\times 8 = 44744\n \\]\n Write down 44744.\n\n2. **Multiply 5593 by 4 (t... |
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