[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360706-105":59,"doc-detail-360706-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","identifying-properties-of-operations-for-each-problem-identify-the-property-of-operations-being-used","Identifying Properties of Operations - For each problem identify the property of operations being used","","Worksheet instructions for identifying and applying core properties of operations: commutative, associative, distributive, and identity. Students match properties to algebraic and numerical expressions by examining changes in order, grouping, and multiplication across sums, as well as steps involving 0 and 1. Includes three parts—identification (1–6), matching equations to property names (7–9), and selecting properties to solve or simplify (10–12)—plus a challenge problem about combining properties, with a provided answer key.",{"@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/identifying-properties-of-operations-for-each-problem-identify-the-property-of-operations-being-used/360706/",{"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/identifying-properties-of-operations-for-each-problem-identify-the-property-of-operations-being-used/360706.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which properties of operations are included in this worksheet?","Question",{"text":112,"@type":113},"The worksheet focuses on the commutative property, associative property, distributive property, and identity property.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you identify the commutative property on the problems?",{"text":117,"@type":113},"It is shown when the order of factors or addends changes while the value stays the same, such as 5 × 3 = 3 × 5.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is the challenge problem not showing only the associative property?",{"text":121,"@type":113},"Lena is not correct because the expression changes both grouping and order and it also includes adding 0, so multiple properties are used: associative, commutative, and identity.","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},360706,1790392137,{"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":44,"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,"preview_page_count":4},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:    \nIdentifying Properties of Operations  \nDirections: For each problem below, identify the property of operations being used.  \nChoose from:  \n| (A) Commutative\u003Cbr>Property | (B) Associative\u003Cbr>Property | (C) Distributive\u003Cbr>Property | (D) Identity Property |\n| --- | --- | --- | --- |\n| Changing the order:\u003Cbr>4 + 6 = 6 + 4 | Changing grouping:(2 + 3) + 4 = 2 + (3 + 4) | Multiply across a sum:\u003Cbr>3 × (2 + 5) = (3 × 2) + (3 × 5) | Zero or one keeps the value:\u003Cbr>9 + 0 = 9 or 7 × 1 = 7 |\n\nPart 1: Identify the Property (1–6)  \nWrite the correct letter (A, B, C, or D) next to each expression.  \n1.) 5 × 3 = 3 × 5 →    \n2.) (8 + 2) + 7 = 8 + (2 + 7) →    \n3.) 4 × (6 – 1) = (4 × 6)–(4 × 1) →    \n4.) 0 + 27 = 27 →    \n5.) 7 × 1 = 7 →    \n6.) (2 × 3) × 5 = 2 × (3 × 5) →    \nPart 2: Match the Equation to the Property (7–9) Write the correct property name for each example. 7.) 12 + (9 + 1) = (12 + 9) + 1 → ________________________  \n8.) 10 × 4 = 4 × 10 → ________________________  \n9.) 6 × (2 + 7) = (6 × 2) + (6 × 7) → ________________________  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 1  \nPart 3: Apply the Property (10–12)  \nChoose the correct property that would help you solve or simplify the expression.  \n10.) Which property allows you to group differently in (5 + 6) + 9 = 5 + (6 + 9)? Answer:    \n11.) What property explains this step: 7 × (1 + 2) = (7 × 1) + (7 × 2)?  \nAnswer:    \n12.) What property allows 14 × 1 = 14?  \nAnswer:    \nChallenge Problem: Lena says that (y + 5) + 0 = 0 + (5 + y) shows the Associative Property.  \nIs Lena correct? If not, which property (or properties) is actually shown?  \nYour Answer:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 2  \nAnswer Key  \nPart 1: Identify the Property  \n1.) A  \n2.) B  \n3.) C  \n4.) D  \n5.) D  \n6.) B  \nPart 2: Match the Equation to the Property  \n7.) Associative Property  \n8.) Commutative Property  \n9.) Distributive Property  \nPart 3: Apply the Property  \n10.) Associative Property  \n11.) Distributive Property  \n12.) Identity Property  \nChallenge Problem  \nLena is not correct. The expression (y + 5) + 0 = 0 + (5 + y)  \nshows a combination of the Associative Property (changing grouping) and the Commutative Property (changing the order) .  \nIt also demonstrates the Identity Property (adding 0) . So, more than one property is being used.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 3","cbCaioSV8goV2A4Z","https://ap.wps.com/l/cbCaioSV8goV2A4Z","pdf",632543,"English","# Part 1: Identify the Property (1–6)\n# Part 2: Match the Equation to the Property (7–9)\n# Part 3: Apply the Property (10–12)\n# Challenge Problem\n# Answer Key","[{\"question\":\"Which properties of operations are included in this worksheet?\",\"answer\":\"The worksheet focuses on the commutative property, associative property, distributive property, and identity property.\"},{\"question\":\"How do you identify the commutative property on the problems?\",\"answer\":\"It is shown when the order of factors or addends changes while the value stays the same, such as 5 × 3 = 3 × 5.\"},{\"question\":\"Why is the challenge problem not showing only the associative property?\",\"answer\":\"Lena is not correct because the expression changes both grouping and order and it also includes adding 0, so multiple properties are used: associative, commutative, and identity.\"}]","Identifying Properties of Operations - For each problem identify the property of operations being used | PDF",1790141273]