[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-357607-105":59,"doc-detail-357607-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","identifying-properties-of-operations-part-worksheet","Identifying Properties of Operations - Part Worksheet","","Directions guide students to identify which operation property is used in each equation, selecting from commutative, associative, distributive, and identity properties. Students complete Part 1 by writing the correct letter beside given expressions. Part 2 requires matching equations to the correct property names. Part 3 asks students to choose the property that justifies specific rewrites and simplifications, followed by a challenge problem that requires correcting a misconception.",{"@graph":69,"@context":123},[70,84,106],{"@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-part-worksheet/357607/",{"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-part-worksheet/357607.png","ImageObject",300,407,{"name":92,"@type":93},"Ivy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the four choices students select from when identifying properties of operations?","Question",{"text":113,"@type":114},"Students choose from commutative property, associative property, distributive property, and identity property.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the challenge problem decide whether Maria is correct?",{"text":118,"@type":114},"It checks whether the equation changes order (commutative) or changes grouping while keeping the same order (associative). The provided explanation says the grouping changes, so it is associative, not commutative.",{"name":120,"@type":111,"acceptedAnswer":121},"Which property allows rewriting an expression like 6 × (3 + 7) into (6 × 3) + (6 × 7)?",{"text":122,"@type":114},"The distributive property justifies that step by multiplying across a sum.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},357607,1790313209,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},549758252649,"https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819","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.) 7 + 5 = 5 + 7 →    \n2.) (4 × 6) × 2 = 4 × (6 × 2) →    \n3.) 9 × (3 + 2) = (9 × 3) + (9 × 2) →    \n4.) 12 + 0 = 12 →    \n5.) 5 × 1 = 5 →    \n6.) 6 + (2 + 4) = (6 + 2) + 4 →    \nPart 2: Match the Equation to the Property (7–9) Write the correct property name for each example. 7.) (3 × 5) × 2 = 3 × (5 × 2) → ________________________  \n8.) 8 + 6 = 6 + 8 → ________________________  \n9.) 7 × (4 + 1) = (7 × 4) + (7 × 1) → ________________________  \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.) What property allows you to rewrite 9 + 0 = 9 more efficiently? Answer:    \n11.) Which property justifies the step:  \n6 × (3 + 7) = (6 × 3) + (6 × 7)?  \nAnswer:    \n12.) What property allows you to change (2 + 5) + 9 → 2 + (5 + 9)?  \nAnswer:    \nChallenge Problem: Maria says that (x + 4) + 7 = x + (4 + 7) shows the commutative property.  \nIs Maria correct? If not, which property is being shown, and how can you explain it in your own words?  \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 (A, B, C, or D)  \n1.) 7 + 5 = 5 + 7 → A (Commutative Property)  \n2.) (4 × 6) × 2 = 4 × (6 × 2) → B (Associative Property)  \n3.) 9 × (3 + 2) = (9 × 3) + (9 × 2) → C (Distributive Property)  \n4.) 12 + 0 = 12 → D (Identity Property)  \n5.) 5 × 1 = 5 → D (Identity Property)  \n6.) 6 + (2 + 4) = (6 + 2) + 4 → B (Associative Property)  \nPart 2: Match the Equation to the Property (Write the Name)  \n7.) (3 × 5) × 2 = 3 × (5 × 2) → Associative Property  \n8.) 8 + 6 = 6 + 8 → Commutative Property  \n9.) 7 × (4 + 1) = (7 × 4) + (7 × 1) → Distributive Property  \nPart 3: Apply the Property  \n10.) What property allows you to rewrite 9 + 0 = 9?  \nIdentity Property  \n11.) Which property justifies 6 × (3 + 7) = (6 × 3) + (6 × 7)?  \nDistributive Property  \n12.) What property allows (2 + 5) + 9 → 2 + (5 + 9)?  \nAssociative Property  \nChallenge Problem:  \nMaria is not correct.  \nThe equation (x + 4) + 7 = x + (4 + 7) shows the Associative Property, not the Commutative Property.  \nExplanation: The numbers are grouped differently, but in the same order. The Associative Property is about changing grouping, not order.  \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","cbCaig64zIli8CTQ","https://ap.wps.com/l/cbCaig64zIli8CTQ","pdf",704578,"English","# Part 1: Identify the Property\n# Part 2: Match the Equation to the Property\n# Part 3: Apply the Property\n# Answer Key\n## Part 1: Identify the Property\n## Part 2: Match the Equation to the Property\n## Part 3: Apply the Property\n## Challenge Problem","[{\"question\":\"What are the four choices students select from when identifying properties of operations?\",\"answer\":\"Students choose from commutative property, associative property, distributive property, and identity property.\"},{\"question\":\"How does the challenge problem decide whether Maria is correct?\",\"answer\":\"It checks whether the equation changes order (commutative) or changes grouping while keeping the same order (associative). The provided explanation says the grouping changes, so it is associative, not commutative.\"},{\"question\":\"Which property allows rewriting an expression like 6 × (3 + 7) into (6 × 3) + (6 × 7)?\",\"answer\":\"The distributive property justifies that step by multiplying across a sum.\"}]","Identifying Properties of Operations - Part Worksheet | PDF",1790130770]