[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480361-105":59,"doc-detail-480361-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","using-distributive-property-answers","Using Distributive Property - Answers","","Worksheet and answer key for practicing the distributive property in multiplication. Students use the example format to rewrite products as sums of easier parts and then compute the final value. Problems involve expressions such as 3×12, 14×9, 14×6, 17×3, 4×12, 9×15, 8×14, 15×5, and 13×3. The key provides the correct answers alongside the decomposed multiplication.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/using-distributive-property-answers/480361/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/using-distributive-property-answers/480361.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the distributive property used for in this worksheet?","Question",{"text":112,"@type":113},"It is used to break a multiplication problem into a sum of simpler multiplications, like a×(b+c) becoming (a×b)+(a×c).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should the example problem be handled?",{"text":117,"@type":113},"Rewrite the product into two parts using the distributive property, then add the results to get the final product.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students find the correct results?",{"text":121,"@type":113},"The document includes an answer key listing the correct answers for each numbered problem.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},480361,1792892879,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},2336478951081,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Using Distributive Property  \nName:  \n\n| Use the distributive property to solve each problem. Ex) 3 × 17 = (3 × 7) + ( 3 ×  10  ) =\u003Cbr>21 + 30  51 \u003Cbr>1) 3 × 12 = (3 × 2) + ( 3 ×   ) =\u003Cbr>+  \u003Cbr>2) 14 × 9 = (4 × 9) + (   × 9 ) =\u003Cbr>+  \u003Cbr>3) 14 × 6 = (7 × 6) + (   × 6 ) =\u003Cbr>+  \u003Cbr>4) 17 × 3 = (8 × 3) + (   × 3 ) =\u003Cbr>+  \u003Cbr>5) 4 × 12 = (4 × 9) + ( 4 ×   ) =\u003Cbr>+  \u003Cbr>6) 9 × 15 = (9 × 8) + ( 9 ×   ) =\u003Cbr>+  \u003Cbr>7) 14 × 9 = (7 × 9) + (   × 9 ) =\u003Cbr>+  \u003Cbr>8) 8 × 14 = (8 × 7) + ( 8 ×   ) =\u003Cbr>+  \u003Cbr>9) 15 × 5 = (6 × 5) + (   × 5 ) =\u003Cbr>+  \u003Cbr>10) 13 × 3 = (8 × 3) + (   × 3 ) =\u003Cbr>+\u003Cbr>|  |  |  |  | Answers\u003Cbr>Ex.  51 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nUsing Distributive Property  \nName: Answer Key  \n\n| Use the distributive property to solve each problem. Ex) 3 × 17 = (3 × 7) + ( 3 ×  10  ) =\u003Cbr>21 + 30  51 \u003Cbr>1) 3 × 12 = (3 × 2) + ( 3 ×  10  ) =\u003Cbr>6 + 30  36  |  |  |  |  |  |  |  |  |  |  |  | Answers Ex.  51  1.  36  2.  126  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 14 × 9 | = | (4 × 9)\u003Cbr>36 | +\u003Cbr>+ | (  10  × 9\u003Cbr>90 | ) | =\u003Cbr> 126  |  |  |  |  | 3.  84  4.  51  |  |  |  |  |  |\n| 3) | 14 × 6 | = | (7 × 6)\u003Cbr>42 | +\u003Cbr>+ | (  7  × 6\u003Cbr>42 | ) | =\u003Cbr> 84  |  |  |  |  | 5.  48  6.  135  |  |  |  |  |  |\n| 4) | 17 × 3 | = | (8 × 3)\u003Cbr>24 | +\u003Cbr>+ | (  9  × 3\u003Cbr>27 | ) | =\u003Cbr> 51  |  |  |  |  | 7.  126  |  |  |  |  |  |\n| 5) | 4 × 12 | = | (4 × 9)\u003Cbr>36 | +\u003Cbr>+ | ( 4 ×  3 \u003Cbr>12 | ) | =\u003Cbr> 48  |  |  |  |  | 8.  112  9.  75  |  |  |  |  |  |\n| 6) | 9 × 15 | = | (9 × 8)\u003Cbr>72 | +\u003Cbr>+ | ( 9 ×  7 \u003Cbr>63 | ) | =\u003Cbr> 135  |  |  |  |  | 10.  39  |  |  |  |  |  |\n| 7) | 14 × 9 | = | (7 × 9)\u003Cbr>63 | +\u003Cbr>+ | (  7  × 9\u003Cbr>63 | ) | =\u003Cbr> 126  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 8 × 14 | = | (8 × 7)\u003Cbr>56 | +\u003Cbr>+ | ( 8 ×  7 \u003Cbr>56 | ) | =\u003Cbr> 112  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 15 × 5 | = | (6 × 5)\u003Cbr>30 | +\u003Cbr>+ | (  9  × 5\u003Cbr>45 | ) | =\u003Cbr> 75  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 13 × 3 | = | (8 × 3)\u003Cbr>24 | +\u003Cbr>+ | (  5  × 3\u003Cbr>15 | ) | =\u003Cbr> 39  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nUsing Distributive Property  \nName:  \n\n| Use the distributive property to solve each problem. |  |  |  | Answers\u003Cbr>Ex.  51 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 135 36 126 51\u003Cbr>84 126 48 |  |  |  |  |  |  |  |  |  |\n| Ex) 3 × 17 = (3 × 7) + ( 3 ×  10  )\u003Cbr>21 + 30\u003Cbr>1) 3 × 12 = (3 × 2) + ( 3 ×   )+\u003Cbr>2) 14 × 9 = (4 × 9) + (   × 9 )+\u003Cbr>3) 14 × 6 = (7 × 6) + (   × 6 )+\u003Cbr>4) 17 × 3 = (8 × 3) + (   × 3 )+\u003Cbr>5) 4 × 12 = (4 × 9) + ( 4 ×   )+\u003Cbr>6) 9 × 15 = (9 × 8) + ( 9 ×   )+\u003Cbr>7) 14 × 9 = (7 × 9) + (   × 9 )+ | =\u003Cbr>51 |  |  |  |  |  |  |  |  |\n|  | =\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>= | |  |  |  |  |  |  |  |\n| 1-7 |  |  | 86 | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6","cbCaiaLekTyohm2N","https://ap.wps.com/l/cbCaiaLekTyohm2N","pdf",45917,"English","# Using Distributive Property\n## Solve Each Problem Using the Distributive Property\n## Answers","[{\"question\":\"What is the distributive property used for in this worksheet?\",\"answer\":\"It is used to break a multiplication problem into a sum of simpler multiplications, like a×(b+c) becoming (a×b)+(a×c).\"},{\"question\":\"How should the example problem be handled?\",\"answer\":\"Rewrite the product into two parts using the distributive property, then add the results to get the final product.\"},{\"question\":\"Where can students find the correct results?\",\"answer\":\"The document includes an answer key listing the correct answers for each numbered problem.\"}]","Using Distributive Property - Answers | PDF",1790794865]