question string | solution string | model_responses list |
|---|---|---|
What is the solution to the long multiplication equation below?
98061 x 65565
Think step by step. | 6429369465 | [
"To solve the long multiplication equation \\(98061 \\times 65565\\), we will break it down into manageable steps:\n\n### Step 1: Break the numbers into parts\nWe can split 98061 and 65565 into smaller parts:\n- \\(98061 = 9800 + 61\\)\n- \\(65565 = 6550 + 565\\)\n\n### Step 2: Multiply each part of the first numbe... |
What is the solution to the long multiplication equation below?
94407 x 46939
Think step by step. | 4431370173 | [
"To solve the long multiplication equation \\(94407 \\times 46939\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Set up the multiplication:** Write the numbers side by side, aligning the digits by place value.\n ```\n 94407\n × 46939\n ------\n ```\n\n2. ... |
What is the solution to the long multiplication equation below?
48188 x 15763
Think step by step. | 759587444 | [
"To solve the long multiplication equation \\( 48188 \\times 15763 \\), 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\\[\n48188 \\times 3 = 1445\n\\]\n\n2. **Multiply the units... |
What is the solution to the long multiplication equation below?
41888 x 44590
Think step by step. | 1867785920 | [
"To solve the long multiplication equation \\(41888 \\times 44590\\), follow these steps:\n\n1. **Break down the numbers**:\n - \\(41888\\) can be broken down into \\(40000 + 1888\\).\n - \\(44590\\) can be broken down into \\(40000 + 4590\\).\n\n2. **Multiply each part of one number by each part of the other n... |
What is the solution to the long multiplication equation below?
67633 x 22396
Think step by step. | 1514708668 | [
"To solve the long multiplication equation \\( 67633 \\times 22396 \\), we'll follow the steps of multiplication algorithm.\n\n### Step 1: Multiply the units digit of the multiplicand by the other multiplicand.\n- Multiply \\(3\\) (units digit of \\(67633\\)) by \\(96\\) (units digit of \\(22396\\)):\n \\[\n 3 \\... |
What is the solution to the long multiplication equation below?
46211 x 61932
Think step by step. | 2861939652 | [
"To solve the long multiplication equation \\(46211 \\times 61932\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply the units digits**: Multiply 11 by 2 (the units digit of 61932).\n \\[\n 11 \\times 2 = 22\n \\]\n Write down 22.\n\n2. **Multiply the tens dig... |
What is the solution to the long multiplication equation below?
41748 x 62186
Think step by step. | 2596141128 | [
"To solve the long multiplication equation \\(41748 \\times 62186\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply by the ones place of the second number and write the result below:**\n \\[\n \\begin{array}{r}\n 41748 \\\\\n \\times 62186 \\\\\n \\hline\n ... |
What is the solution to the long multiplication equation below?
85188 x 26538
Think step by step. | 2260719144 | [
"To solve the long multiplication equation \\(85188 \\times 26538\\), we can break it down into simpler steps:\n\n1. **Multiply 85188 by 6538:**\n \\[\n 85188 \\times 6538 = 85188 \\times (6000 + 538) = (85188 \\times 6000) + (85188 \\times 538)\n \\]\n - First, calculate \\(85188 \\times 6000\\):\n \\[... |
What is the solution to the long multiplication equation below?
37399 x 40148
Think step by step. | 1501495052 | [
"To solve the long multiplication equation \\(37399 \\times 40148\\), follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 37399 \\\\\n \\times 40148 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 37399 by 8 (the units digit of 40148):**\n \\[\n 37399 \\time... |
What is the solution to the long multiplication equation below?
68778 x 92293
Think step by step. | 6347727954 | [
"To solve the long multiplication equation \\(68778 \\times 92293\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 68778\n x 92293\n ```\n\n2. **Multiply 68778 by 3 (the units digit of 92293)**:\n \\[\n 68778 \\tim... |
What is the solution to the long multiplication equation below?
65570 x 49099
Think step by step. | 3219421430 | [
"To solve the long multiplication equation \\(65570 \\times 49099\\), we will break it down into simpler steps:\n\n1. **Multiply 65570 by 99:**\n \\[\n 65570 \\times 99 = 65570 \\times (100 - 1)\n \\]\n Using the distributive property:\n \\[\n 65570 \\times (100 - 1) = 65570 \\times 100 - 65570 \\times ... |
What is the solution to the long multiplication equation below?
66853 x 51598
Think step by step. | 3449481094 | [
"To solve the long multiplication of 66853 and 51598, we will break it down into simpler steps:\n\n1. **Multiply the units digits**: 5 x 3 = 15\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... |
What is the solution to the long multiplication equation below?
97498 x 64442
Think step by step. | 6282966116 | [
"To solve the long multiplication equation \\(97498 \\times 64442\\), follow these steps:\n\n1. **Break down the numbers**:\n - Split 97498 into 90000 and 7498.\n - Split 64442 into 60000 and 4442.\n\n2. **Write the equation using these parts**:\n \\[\n (90000 + 7498) \\times (60000 + 4442)\n \\]\n\n3. **... |
What is the solution to the long multiplication equation below?
44829 x 80048
Think step by step. | 3588471792 | [
"To solve the long multiplication equation \\(44829 \\times 80048\\), we will break it down step by step.\n\n### Step 1: Break down the numbers\nFirst, let's break down the numbers into more manageable parts:\n- \\(44829\\) can be written as \\(40000 + 4829\\)\n- \\(80048\\) can be written as \\(80000 + 4829\\)\n\n... |
What is the solution to the long multiplication equation below?
95392 x 26025
Think step by step. | 2482576800 | [
"To solve the long multiplication equation \\(95392 \\times 26025\\), we will perform the multiplication step by step.\n\n1. **Multiply 95392 by 5 (the units digit of 26025):**\n \\[\n 95392 \\times 5 = 47696\n \\]\n\n2. **Multiply 95392 by 2 (the tens digit of 26025, shifted one place to the left):**\n \\[... |
What is the solution to the long multiplication equation below?
19975 x 53631
Think step by step. | 1071279225 | [
"To solve the long multiplication equation \\( 19975 \\times 53631 \\), we'll follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 19975 \\\\\n \\times 53631 \\\\\n \\end{array}\n \\]\n\n2. **Break it down into smaller parts:**\n\n \\[\n 19975 \\times 53631 = 1997... |
What is the solution to the long multiplication equation below?
79886 x 93862
Think step by step. | 7498259732 | [
"To solve the long multiplication equation \\(79886 \\times 93862\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 79886 \\\\\n \\times 93862 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Break down the multiplication into smaller steps:**\n \\[\n 79... |
What is the solution to the long multiplication equation below?
74395 x 76529
Think step by step. | 5693374955 | [
"To solve the long multiplication equation \\( 74395 \\times 76529 \\), we'll break it down into a series of steps:\n\n### Step 1: Multiply by the ones place\nFirst, we'll calculate \\( 74395 \\times 9 \\).\n\n\\[\n74395 \\times 9 = 66155\n\\]\n\n### Step 2: Multiply by the tens place\nNext, multiply \\( 74395 \\) ... |
What is the solution to the long multiplication equation below?
33688 x 80778
Think step by step. | 2721249264 | [
"To solve the long multiplication of 33688 and 80778, we will break it down into simpler steps up to 8 digits at a time, then combine the results.\n\nStep 1: Multiply 33688 by 78 (the 8 digits in 80778):\n33688 × 78 = 282224\n\nStep 2: Multiply 33688 by 8 (the 9 digit in 80778):\n33688 × 8 = 26864\n\nStep 3: Add th... |
What is the solution to the long multiplication equation below?
72720 x 10430
Think step by step. | 758469600 | [
"To solve the long multiplication equation \\(72720 \\times 10430\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, aligning the digits by place value.\n ```\n 72720\n × 10430\n ------\n ```\n\n2. **Multiply the top number by the units digit of the... |
What is the solution to the long multiplication equation below?
99294 x 84820
Think step by step. | 8422117080 | [
"To solve the long multiplication equation \\( 99294 \\times 84820 \\), we'll break it down into smaller, manageable steps:\n\n### Step 1: Multiply by the ones place\nFirst, we'll calculate \\( 99294 \\times 0. \\)\n\n\\[ 99294 \\times 0 = 0 \\]\n\n### Step 2: Multiply by the tens place\nNext, multiply \\( 99294 \\... |
What is the solution to the long multiplication equation below?
65777 x 66930
Think step by step. | 4402454610 | [
"To solve the long multiplication equation \\(65777 \\times 66930\\), we can break it down into simpler steps:\n\n1. **Multiply 65777 by 930:**\n \\[\n 65777 \\times 930 = 65777 \\times (900 + 30) = 65777 \\times 900 + 65777 \\times 30\n \\]\n - First, calculate \\(65777 \\times 900\\):\n \\[\n 6577... |
What is the solution to the long multiplication equation below?
32198 x 33814
Think step by step. | 1088743172 | [
"To solve the long multiplication equation \\(32198 \\times 33814\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 32198 \\\\\n \\times 33814 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 32198 by 4 (the units digit of 33814):**\n \\[\n 32198 \\times 4 ... |
What is the solution to the long multiplication equation below?
83146 x 84666
Think step by step. | 7039639236 | [
"To solve the long multiplication equation \\( 83146 \\times 84666 \\), we'll follow these steps:\n\n1. **Set up the multiplication**: Arrange the numbers vertically, aligning the digits by place value.\n\n2. **Multiply the digits**: Multiply each digit of the first number by each digit of the second number, starti... |
What is the solution to the long multiplication equation below?
94582 x 10071
Think step by step. | 952535322 | [
"To solve the long multiplication equation \\(94582 \\times 10071\\), we can break it down into simpler steps:\n\n1. **Multiply the numbers separately**: We can either work directly or use the distributive property of multiplication. Here, I'll use the distributive property for clarity:\n\n \\[\n 94582 \\times ... |
What is the solution to the long multiplication equation below?
13031 x 27084
Think step by step. | 352931604 | [
"To solve the long multiplication equation \\(13031 \\times 27084\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 13031 \\\\\n \\times 27084 \\\\\n \\end{array}\n \\]\n\n2. **Break down the multiplication:**\n \\[\n 13031 \\times 27084 = 13031 \\tim... |
What is the solution to the long multiplication equation below?
74541 x 41292
Think step by step. | 3077946972 | [
"To solve the long multiplication equation \\(74541 \\times 41292\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, aligning the digits by place value.\n ```\n 74541\n × 41292\n ------\n ```\n\n2. **Multiply the digits**: Multiply each digit of the ... |
What is the solution to the long multiplication equation below?
20683 x 19983
Think step by step. | 413308389 | [
"To solve the long multiplication of \\(20683\\) and \\(19983\\), follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 20683 \\\\\n \\times & 19983 \\\\\n \\end{array}\n \\]\n\n2. **Multiply \\(20683\\) by \\(983\\):**\n \\[\n 20683 \\times 983 = 20683 \\t... |
What is the solution to the long multiplication equation below?
12274 x 60589
Think step by step. | 743669386 | [
"To solve the long multiplication equation \\(12274 \\times 60589\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 12274 by 9 (the units digit of 60589):**\n \\[\n 12274 \\times 9 = 103966\n \\]\n\n2. **Multiply 12274 by 60 (the tens digit of 60589, which is 6... |
What is the solution to the long multiplication equation below?
82008 x 15734
Think step by step. | 1290313872 | [
"To solve the long multiplication equation \\(82008 \\times 15734\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 82008 by 4 (the units digit of 15734):**\n \\[\n 82008 \\times 4 = 32808\n \\]\n\n2. **Multiply 82008 by 10 (the tens digit of 15734, which is th... |
What is the solution to the long multiplication equation below?
67986 x 48319
Think step by step. | 3285015534 | [
"To solve the long multiplication equation \\(67986 \\times 48319\\), we will follow the standard algorithm of long multiplication. \n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 67986 \\\\\n \\times 48319 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 67986 by 9 (the units ... |
What is the solution to the long multiplication equation below?
73318 x 55326
Think step by step. | 4056391668 | [
"To solve the long multiplication equation \\(73318 \\times 55326\\), 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- \\(73318\\) can be written as \\(70000 + 3318\\)\n- \\(55326\\) can be written as \\(50000 + 5326\\)\n\n###... |
What is the solution to the long multiplication equation below?
28930 x 71488
Think step by step. | 2068147840 | [
"To solve the long multiplication equation \\(28930 \\times 71488\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 28930\n × 71488\n ------\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now... |
What is the solution to the long multiplication equation below?
37823 x 55462
Think step by step. | 2097739226 | [
"To solve the long multiplication of \\( 37823 \\times 55462 \\), we'll break it down into smaller steps:\n\n1. **Break it into parts:**\n \\[\n 37823 \\times 55462 = 37823 \\times (50000 + 5462)\n \\]\n\n2. **Apply the distributive property:**\n \\[\n 37823 \\times 50000 + 37823 \\times 5462\n \\]\n\n3... |
What is the solution to the long multiplication equation below?
64088 x 79829
Think step by step. | 5116080952 | [
"To solve the long multiplication of 64088 and 79829, we will break it down into simpler steps of multiplication using the distributive property. \n\n1. First, set up the problem and fill in the partial products:\n\n \\[\n \\begin{array}{r}\n 64088 \\\\\n \\times 79829 \\\\\n \\hline\n \\end{array}\n ... |
What is the solution to the long multiplication equation below?
27767 x 54074
Think step by step. | 1501472758 | [
"To solve the long multiplication equation \\( 27767 \\times 54074 \\), we'll break it down into smaller steps:\n\n### Step 1: Break down the numbers\nFirst, let's write out the numbers in a more manageable format:\n\\[\n\\begin{array}{c@{}c}\n & 27767 \\\\\n\\times & 54074 \\\\\n\\end{array}\n\\]\n\n### Step 2: Mu... |
What is the solution to the long multiplication equation below?
91309 x 43208
Think step by step. | 3945279272 | [
"To solve the long multiplication equation \\(91309 \\times 43208\\), we can break it down into simpler steps:\n\n1. **Multiply the numbers separately**: We can think of this as multiplying the numbers like 91309 by 3208 and then by 400 (since 43208 is 400 times 10 plus 3208).\n\n2. **First multiplication**: \\(913... |
What is the solution to the long multiplication equation below?
51280 x 26845
Think step by step. | 1376611600 | [
"To solve the long multiplication equation \\( 51280 \\times 26845 \\), 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\\[\n51280 \\times 5 = 25640\n\\]\n\n2. **Multiply the uni... |
What is the solution to the long multiplication equation below?
14653 x 29698
Think step by step. | 435164794 | [
"To solve the long multiplication equation \\(14653 \\times 29698\\), we will follow the standard algorithm of long multiplication. \n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 14653 \\\\\n \\times & 29698 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 14653 by 8 (th... |
What is the solution to the long multiplication equation below?
32233 x 69653
Think step by step. | 2245125149 | [
"To solve the long multiplication equation \\(32233 \\times 69653\\), we'll break it down into smaller steps and multiply digit by digit, keeping a partial product. Here is the step-by-step breakdown:\n\n1. **Align the numbers:**\n ```\n 32233\n × 69653\n ------\n\n2. **Multiply 32233 by 3 (the uni... |
What is the solution to the long multiplication equation below?
32102 x 45511
Think step by step. | 1460994122 | [
"To solve the long multiplication equation \\( 32102 \\times 45511 \\), we'll follow the steps of multiplication algorithm, starting from the rightmost digits and moving to the left.\n\n### Step-by-Step Solution:\n\n1. **Multiply the units digits:**\n - Multiply \\( 2 \\) (from \\( 32102 \\)) by \\( 1 \\) (from \... |
What is the solution to the long multiplication equation below?
88584 x 19430
Think step by step. | 1721187120 | [
"To solve the long multiplication equation \\(88584 \\times 19430\\), we can break it down into simpler steps:\n\n1. **Multiply 88584 by 4 (the units digit of 19430):**\n \\[\n 88584 \\times 4 = 35436\n \\]\n\n2. **Multiply 88584 by 30 (the tens digit of 19430, which is 3 times 10):**\n \\[\n 88584 \\time... |
What is the solution to the long multiplication equation below?
57667 x 10486
Think step by step. | 604696162 | [
"To solve the long multiplication equation \\(57667 \\times 10486\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, with 57667 on top and 10486 below it, aligned by the digit place.\n\n ```\n 57667\n × 10486\n ------\n ```\n\n2. **Multiply 57667 by 6 (the unit... |
What is the solution to the long multiplication equation below?
65092 x 44199
Think step by step. | 2877001308 | [
"To solve the long multiplication of 65092 and 44199, we will break it down into simpler steps of multiplication using the distributive property. \n\n1. First, set up the problem and fill in the partial products:\n\n \\[\n \\begin{array}{r}\n 65092 \\\\\n\\times 44199 \\\\\n\\hline\n \\end{array}\n \\]\n\... |
What is the solution to the long multiplication equation below?
81334 x 21565
Think step by step. | 1753967710 | [
"To solve the long multiplication equation \\(81334 \\times 21565\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 81334 by 5 (the units digit of 21565):**\n \\[\n 81334 \\times 5 = 40667\n \\]\n\n2. **Multiply 81334 by 2 (the tens digit of 21565, shifted one ... |
What is the solution to the long multiplication equation below?
30683 x 42296
Think step by step. | 1297768168 | [
"To solve the long multiplication equation \\(30683 \\times 42296\\), we will break it down step by step:\n\n### Step 1: Break down the numbers\nFirst, we break the numbers into smaller parts:\n\\(30683\\) can be written as \\(30000 - 327\\)\n\\(42296\\) can be written as \\(40000 - 7904\\)\n\n### Step 2: Multiply\... |
What is the solution to the long multiplication equation below?
73288 x 11037
Think step by step. | 808879656 | [
"To solve the long multiplication equation \\( 73288 \\times 11037 \\), 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\\[\n73288 \\times 7 = 532\n\\]\n\n2. **Multiply the units... |
What is the solution to the long multiplication equation below?
88219 x 75420
Think step by step. | 6653476980 | [
"To solve the long multiplication problem \\(88219 \\times 75420\\), we'll break it down step by step:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 88219 \\\\\n \\times 75420 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 88219 by 0 (the units digit of 75420):**\n \\[\n 8... |
What is the solution to the long multiplication equation below?
98058 x 35111
Think step by step. | 3442914438 | [
"To solve the long multiplication equation \\(98058 \\times 35111\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Multiply 98058 by 1 (the units digit of 35111):**\n \\[\n 98058 \\times 1 = 98058\n \\]\n\n2. **Multiply 98058 by 3 (the tens digit of 35111, which is 30)... |
What is the solution to the long multiplication equation below?
24080 x 90667
Think step by step. | 2183261360 | [
"To solve the long multiplication equation \\( 24080 \\times 90667 \\), we'll break it down into a series of simpler multiplications. Here's the step-by-step process:\n\n1. **Break down the numbers:**\n - \\( 24080 \\) can be written as \\( 2408 \\times 10 \\).\n - \\( 90667 \\) can be written as \\( 90667 \\).... |
What is the solution to the long multiplication equation below?
79097 x 12859
Think step by step. | 1017108323 | [
"To solve the long multiplication equation \\( 79097 \\times 12859 \\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, with \\( 79097 \\) on top and \\( 12859 \\) below it:\n\n ```\n 79097\n × 12859\n （）\n ```\n\n2. **Multiply \\( 79097 \\) by \\( 9 \\)** (the... |
What is the solution to the long multiplication equation below?
34198 x 62345
Think step by step. | 2132074310 | [
"To solve the long multiplication equation \\( 34198 \\times 62345 \\), we'll break it down into a series of simpler multiplications. Here's the step-by-step process:\n\n1. **Break down the numbers:**\n - \\( 34198 \\) can be written as \\( 30000 + 4198 \\).\n - \\( 62345 \\) can be written as \\( 60000 + 2345 ... |
What is the solution to the long multiplication equation below?
36364 x 44966
Think step by step. | 1635143624 | [
"To solve the long multiplication equation \\( 36364 \\times 44966 \\), we'll follow these steps:\n\n1. **Set up the multiplication**: Arrange the numbers vertically, aligning the digits by place value.\n\n2. **Multiply the bottom number by each digit in the top number**:\n - First, multiply \\( 44966 \\) by \\( ... |
What is the solution to the long multiplication equation below?
74718 x 32144
Think step by step. | 2401735392 | [
"To solve the long multiplication equation \\(74718 \\times 32144\\), we will break it down into smaller steps:\n\n1. **Multiply 74718 by 1**: \n \\[\n 74718 \\times 1 = 74718\n \\]\n\n2. **Multiply 74718 by 2**:\n \\[\n 74718 \\times 2 = 149436\n \\]\n\n3. **Add the results from steps 1 and 2**:\n \\... |
What is the solution to the long multiplication equation below?
50299 x 68190
Think step by step. | 3429888810 | [
"To solve the long multiplication equation \\( 50299 \\times 68190 \\), we'll follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 50299 \\\\\n \\times 68190 \\\\\n \\end{array}\n \\]\n\n2. **Break down the problem:**\n\n Split the multiplication into smaller, more... |
What is the solution to the long multiplication equation below?
46077 x 88030
Think step by step. | 4056158310 | [
"To solve the long multiplication equation \\(46077 \\times 88030\\), we can break it down into simpler steps:\n\n1. **Multiply 46077 by 8:**\n \\[\n 46077 \\times 8 = 368536\n \\]\n\n2. **Multiply 46077 by 80 (which is the same as multiplying by 8 and then adding a zero):**\n \\[\n 46077 \\times 80 = 368... |
What is the solution to the long multiplication equation below?
72439 x 59464
Think step by step. | 4307512696 | [
"To solve the long multiplication equation \\(72439 \\times 59464\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, aligning the digits by place value.\n ```\n 72439\n × 59464\n ------\n ```\n\n2. **Multiply the digits**: Multiply each digit of the... |
What is the solution to the long multiplication equation below?
73158 x 84722
Think step by step. | 6198092076 | [
"To solve the long multiplication equation \\(73158 \\times 84722\\), we will break it down into smaller steps:\n\n1. **First, let's multiply by the units digit of the second number:**\n\n \\[\n 73158 \\times 2 = 146316\n \\]\n\n2. **Now, let's multiply by the tens digit of the second number:**\n\n \\[\n ... |
What is the solution to the long multiplication equation below?
22278 x 80714
Think step by step. | 1798146492 | [
"To solve the long multiplication equation \\(22278 \\times 80714\\), we will follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n & 22278 \\\\\n \\times & 80714 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 22278 by 4 (the units digit of 80714):**\n \\[\n 22278 \\ti... |
What is the solution to the long multiplication equation below?
54367 x 61156
Think step by step. | 3324868252 | [
"To solve the long multiplication equation \\(54367 \\times 61156\\), we will break it down into smaller steps:\n\n1. **First, let's multiply the numbers without the leading zeros:**\n\n \\(54367 \\times 61156\\)\n\n2. **Now, add the results of each multiplication together.**\n\n Let's start with the first part... |
What is the solution to the long multiplication equation below?
37350 x 32927
Think step by step. | 1229823450 | [
"To solve the long multiplication equation \\(37350 \\times 32927\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, aligning the digits by place value.\n ```\n 37350\n × 32927\n ------\n ```\n\n2. *... |
What is the solution to the long multiplication equation below?
49935 x 63265
Think step by step. | 3159137775 | [
"To solve the long multiplication equation \\(49935 \\times 63265\\), follow these steps:\n\n1. **Set up the multiplication**:\n \\[\n \\begin{array}{c@{}c}\n & 49935 \\\\\n \\times & 63265 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 49935 by 5 (the units digit of 63265)**:\n \\[\n 49935 \\times 5 = ... |
What is the solution to the long multiplication equation below?
71012 x 91935
Think step by step. | 6528488220 | [
"To solve the long multiplication equation \\(71012 \\times 91935\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 71012\n x 91935\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now)**:\n - Multipl... |
What is the solution to the long multiplication equation below?
54696 x 78975
Think step by step. | 4319616600 | [
"To solve the long multiplication equation \\(54696 \\times 78975\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, with 54696 on top and 78975 below it, aligning the digits by place value.\n\n ```\n 54696\n × 78975\n ----\n ```\n\n2. **Multiply 78975 by the o... |
What is the solution to the long multiplication equation below?
67660 x 83634
Think step by step. | 5658676440 | [
"To solve the long multiplication equation \\(67660 \\times 83634\\), 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 6766 by 4 (the units digit of 83634):\n \\[\n 6766 \\times 4 = 270... |
What is the solution to the long multiplication equation below?
18731 x 44036
Think step by step. | 824838316 | [
"To solve the long multiplication equation \\( 18731 \\times 44036 \\), 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\\[\n731 \\times 6 = 4386\n\\]\n\n2. **Multiply the units d... |
What is the solution to the long multiplication equation below?
64578 x 48245
Think step by step. | 3115565610 | [
"To solve the long multiplication of 64578 and 48245, follow these steps:\n\n1. **Multiply the units digits**: Multiply 578 by 5 (the units digit of 48245).\n \\[\n 578 \\times 5 = 2890\n \\]\n\n2. **Multiply the tens digits**: Multiply 578 by 8 (the tens digit of 48245, which is also 8).\n \\[\n 578 \\ti... |
What is the solution to the long multiplication equation below?
16139 x 84228
Think step by step. | 1359355692 | [
"To solve the long multiplication equation \\(16139 \\times 84228\\), we will break it down step by step:\n\n1. **Multiply the units digits:**\n - Multiply 9 by 8: \\(9 \\times 8 = 72\\).\n - Write down 2 and carry over 7.\n\n2. **Multiply the tens digits and shift one place to the left:**\n - Multiply 16 by ... |
What is the solution to the long multiplication equation below?
51781 x 18196
Think step by step. | 942207076 | [
"To solve the long multiplication equation \\(51781 \\times 18196\\), we will break it down into smaller steps:\n\n1. **Break the numbers into parts**: \n - \\(51781\\) can be written as \\(50000 + 1781\\).\n - \\(18196\\) can be written as \\(18000 + 196\\).\n\n2. **Multiply each part of the first number by ea... |
What is the solution to the long multiplication equation below?
21467 x 11565
Think step by step. | 248265855 | [
"To solve the long multiplication equation \\( 21467 \\times 11565 \\), 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\\[\n21467 \\times 5 = 10733\n\\]\n\n2. **Multiply the uni... |
What is the solution to the long multiplication equation below?
51984 x 90478
Think step by step. | 4703408352 | [
"To solve the long multiplication equation \\(51984 \\times 90478\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Write the numbers vertically**: \n \\[\n \\begin{array}{c@{}c}\n & 51984 \\\\\n \\times & 90478 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 51984 b... |
What is the solution to the long multiplication equation below?
18032 x 61982
Think step by step. | 1117659424 | [
"To solve the long multiplication equation \\(18032 \\times 61982\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 18032\n × 61982\n ------\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now... |
What is the solution to the long multiplication equation below?
88493 x 97196
Think step by step. | 8601165628 | [
"To solve the long multiplication equation \\(88493 \\times 97196\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 88493\n x 97196\n ------\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now)*... |
What is the solution to the long multiplication equation below?
28831 x 43518
Think step by step. | 1254667458 | [
"To solve the long multiplication equation \\(28831 \\times 43518\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, aligning the digits by place value.\n\n \\[\n \\begin{array}{c@{}c}\n & 28831 \\\\\n \\time... |
What is the solution to the long multiplication equation below?
87550 x 29836
Think step by step. | 2612141800 | [
"To solve the long multiplication equation \\(87550 \\times 29836\\), we will follow the standard algorithm for multiplication. Here are the steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, with the larger number on top:\n ```\n 87550\n × 29836\n ```\n\n2. **Multiply by the on... |
What is the solution to the long multiplication equation below?
93145 x 12404
Think step by step. | 1155370580 | [
"To solve the long multiplication equation \\(93145 \\times 12404\\), we can break it down into simpler steps:\n\n1. **Multiply 93145 by 404 (the units digit of 12404):**\n \\[\n 93145 \\times 404 = 93145 \\times (4 \\times 101) = 93145 \\times 4 \\times 101 = 372580 \\times 101 = 3725804\n \\]\n\n2. **Multip... |
What is the solution to the long multiplication equation below?
59153 x 54876
Think step by step. | 3246080028 | [
"Certainly! Let's break down the multiplication step by step.\n\n### Step-by-Step Calculation of \\( 59153 \\times 54876 \\):\n\n1. **Multiply the units digits**: 5 x 6 = 30\n So, in the units place, we have 0.\n\n2. **Multiply the tens digits and write the result**: 9 x 4 = 36\n So, in the tens place, we place... |
What is the solution to the long multiplication equation below?
61983 x 83455
Think step by step. | 5172791265 | [
"To solve the long multiplication equation \\(61983 \\times 83455\\), 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 61983 by 5 (the units digit of 83455).\n \\[\n 61983 \\times 5 = 3... |
What is the solution to the long multiplication equation below?
89091 x 64784
Think step by step. | 5771671344 | [
"To solve the long multiplication equation \\(89091 \\times 64784\\), follow these steps:\n\n1. **Break down the numbers**: \n - \\(89091\\) can be thought of as \\(80000 + 9091\\).\n - \\(64784\\) can be thought of as \\(60000 + 4784\\).\n\n2. **Multiply each part of the first number by each part of the second... |
What is the solution to the long multiplication equation below?
86528 x 75936
Think step by step. | 6570590208 | [
"To solve the long multiplication equation \\(86528 \\times 75936\\), we will break it down into simpler steps:\n\n1. **Multiply the numbers by the ones digit of the other number:**\n\n \\[\n 86528 \\times 6 = 51964\n \\]\n (Multiply 86528 by 6)\n\n2. **Multiply the numbers by the tens digit of the other nu... |
What is the solution to the long multiplication equation below?
70276 x 19179
Think step by step. | 1347823404 | [
"To solve the long multiplication equation \\( 70276 \\times 19179 \\), we'll break it down into smaller steps and multiply digit by digit, keeping a partial product. Here is the step-by-step breakdown:\n\n1. **Align the numbers:**\n ```\n 70276\n × 19179\n ------\n\n2. **Multiply 70276 by 9:**\n ... |
What is the solution to the long multiplication equation below?
14511 x 89262
Think step by step. | 1295280882 | [
"To solve the long multiplication equation \\( 145 \\times 89262 \\), we'll follow the steps of multiplication algorithmically.\n\nFirst, we will multiply each digit of 145 by each digit of 89262, starting from the right:\n\n1. **Multiply 145 by 2 (the units digit of 89262):**\n \\[\n 145 \\times 2 = 290\n \\... |
What is the solution to the long multiplication equation below?
59936 x 54769
Think step by step. | 3282634784 | [
"To solve the long multiplication of 59936 and 54769 step by step, we'll break it down into simpler steps:\n\n1. Multiply the numbers by the units digit of the other number.\n 59936 x 9 = 53124\n\n2. Multiply the numbers by the tens digit of the other number.\n 59936 x 40 = 239744\n\n3. Add the two results toge... |
What is the solution to the long multiplication equation below?
43475 x 66670
Think step by step. | 2898478250 | [
"To solve the long multiplication equation \\(43475 \\times 66670\\), follow these steps:\n\n1. Write the numbers one under the other, aligning the rightmost digits:\n \\[\n \\begin{array}{c@{}c@{}c}\n & 43475 \\\\\n \\times & 66670 \\\\\n \\end{array}\n \\]\n\n2. Multiply 43475 by 0 (the rightmost di... |
What is the solution to the long multiplication equation below?
83523 x 39325
Think step by step. | 3284541975 | [
"To solve the long multiplication equation \\( 83523 \\times 39325 \\), we'll break it down into steps:\n\nStep 1: Multiply the numbers as if they were long ones (83523 and 39325).\nStep 2: Break down the multiplication into smaller parts to avoid misplacing digits.\nStep 3: Multiply each digit of the first number ... |
What is the solution to the long multiplication equation below?
46051 x 20924
Think step by step. | 963571124 | [
"To solve the long multiplication equation \\(46051 \\times 20924\\), let's break it down step by step:\n\n1. **Break down the numbers and places**: \n - \\(46051\\) is composed of the digits \\(4\\) (tens place) and \\(6051\\) (ones place).\n - \\(20924\\) is composed of the digits \\(2\\) (tens place) and \\(... |
What is the solution to the long multiplication equation below?
72383 x 25211
Think step by step. | 1824847813 | [
"To solve the long multiplication equation \\(72383 \\times 25211\\), we'll break it down into steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 72383 \\\\\n \\times 25211 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 72383 by 1 (the units digit of 25211):**\n \\[\n 72383 \\time... |
What is the solution to the long multiplication equation below?
28876 x 21465
Think step by step. | 619823340 | [
"To solve the long multiplication equation \\(28876 \\times 21465\\), we will break it down into smaller steps:\n\n1. **First, let's multiply the numbers like a 2-digit number:** \n\n - Multiply 28876 by 5 (the second digit of 21465):\n \\[\n 28876 \\times 5 = 144380\n \\]\n\n - Multiply 28876 by 40... |
What is the solution to the long multiplication equation below?
26019 x 93910
Think step by step. | 2443444290 | [
"To solve the long multiplication equation \\(26019 \\times 93910\\), we can break it down into simpler steps:\n\n1. **Multiply 26019 by 39:**\n \\[\n 26019 \\times 39 = 26019 \\times (40 - 1) = 26019 \\times 40 - 26019 \\times 1\n \\]\n \\[\n 26019 \\times 40 = 1040760\n \\]\n \\[\n 26019 \\times 1... |
What is the solution to the long multiplication equation below?
15665 x 52909
Think step by step. | 828819485 | [
"Certainly! Let's break down the multiplication step by step.\n\n### Step 1: Multiply the units digits\n- Multiply 5 (from 15665) by 9 (from 52909):\n \\[\n 5 \\times 9 = 45\n \\]\n Write down 5 and carry over 4.\n\n### Step 2: Multiply the tens digits and add the carry\n- Multiply 6 (from 15665) by 9 (from 529... |
What is the solution to the long multiplication equation below?
96161 x 97294
Think step by step. | 9355888334 | [
"To solve the long multiplication equation \\(96161 \\times 97294\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers side by side, aligning the digits by place value.\n ```\n 96161\n x 97294\n ```\n\n2. **Multiply the numbers (ignore the decimal points for now)**:\n - Multipl... |
What is the solution to the long multiplication equation below?
90506 x 72641
Think step by step. | 6574446346 | [
"To solve the long multiplication equation \\( 90506 \\times 72641 \\), we'll break it down into steps:\n\n### Step 1: Break down the numbers\nFirst, let's write the numbers vertically so we can align the digits properly:\n\n```\n 90506\n× 72641\n------\n```\n\n### Step 2: Multiply 90506 by 1 (the units digit of 7... |
What is the solution to the long multiplication equation below?
89702 x 35444
Think step by step. | 3179397688 | [
"To solve the long multiplication equation \\( 89702 \\times 35444 \\), we'll break it down into steps:\n\nStep 1: Multiply the numbers by the units digit of the other number.\n\\( 89702 \\times 4 \\) (since 35444 has a units digit of 4)\n\nStep 2: Multiply the numbers by the tens digit of the other number.\n\\( 89... |
What is the solution to the long multiplication equation below?
81356 x 55999
Think step by step. | 4555854644 | [
"To solve the multiplication problem \\(81356 \\times 55999\\), we will break it down into simpler steps.\n\nStep 1: Multiply 81356 by 9 (the units digit of 55999).\n\\(81356 \\times 9 = 721144\\)\n\nStep 2: Multiply 81356 by 50 (the tens digit of 55999, and remember to add a zero to the product since we're multipl... |
What is the solution to the long multiplication equation below?
58150 x 28470
Think step by step. | 1655530500 | [
"To solve the long multiplication equation for \\( 58 \\times 28 \\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, with 28 on top and 58 below it:\n ```\n 58\n × 28\n ```\n\n2. **Multiply 58 by 8 (the units digit of 28):**\n \\[\n 58 \\times 8 = 464\n \\... |
What is the solution to the long multiplication equation below?
55656 x 74243
Think step by step. | 4132068408 | [
"To solve the long multiplication equation \\(55656 \\times 74243\\), we will follow the standard algorithm of long multiplication. \n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 55656 \\\\\n \\times 74243 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 55656 by 3 (the units ... |
What is the solution to the long multiplication equation below?
13263 x 19754
Think step by step. | 261997302 | [
"To solve the long multiplication equation \\(13263 \\times 19754\\), we will follow the standard algorithm of long multiplication. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 13263 \\\\\n \\times 19754 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 132... |
What is the solution to the long multiplication equation below?
12979 x 96303
Think step by step. | 1249916637 | [
"To solve the long multiplication equation \\(12979 \\times 96303\\), follow these steps:\n\n1. **Set up the multiplication**:\n \\[\n \\begin{array}{r}\n 12979 \\\\\n \\times 96303 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 12979 by 3** (the units digit of 96303):\n \\[\n 12979 \\times ... |
What is the solution to the long multiplication equation below?
17166 x 19600
Think step by step. | 336453600 | [
"To solve the long multiplication equation \\( 17166 \\times 19600 \\), we break it down into simpler steps.\n\n1. **Break down the numbers:**\n - \\( 17166 \\) can be thought of as \\( 17000 + 166 \\).\n - \\( 19600 \\) can be thought of as \\( 19000 + 600 \\).\n\n2. **Multiply each part separately:**\n - Fo... |
What is the solution to the long multiplication equation below?
34263 x 99590
Think step by step. | 3412252170 | [
"To solve the long multiplication equation \\( 34263 \\times 99590 \\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically, with \\( 34263 \\) on top and \\( 99590 \\) below it:\n\n ```\n 34263\n x 99590\n ----\n ```\n\n2. **Multiply \\( 34263 \\) by the units dig... |
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