[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-555871-105":59,"doc-detail-555871-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","grade-4-math-worksheet-multiplication-associative-property","Grade 4 Math Worksheet - Multiplication Associative Property","","This educational worksheet is designed for fourth-grade students to practice the associative property of multiplication. The document defines the property as the principle that the grouping of factors does not affect the final product, providing clear algebraic examples such as (3 x 4) x 5 = 3 x (4 x 5). It contains a series of ten exercises requiring students to identify and fill in missing values to complete equivalent multiplication equations. Additionally, the worksheet poses a critical thinking question regarding the applicability of the associative property to multiplication involving zero, accompanied by a solved explanation to reinforce conceptual understanding. This resource serves as a structured learning tool for mastering basic algebraic properties in arithmetic, encouraging students to recognize patterns in number grouping and multiplication identity.",{"@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/grade-4-math-worksheet-multiplication-associative-property/555871/",{"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/grade-4-math-worksheet-multiplication-associative-property/555871.png","ImageObject",300,407,{"name":92,"@type":93},"SANS","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-12",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the associative property of multiplication?","Question",{"text":112,"@type":113},"The associative property states that in multiplication, the way in which numbers are grouped in a problem does not change the final product.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Does the associative property apply when multiplying with zero?",{"text":117,"@type":113},"Yes, the associative property applies to multiplication involving zero, as demonstrated by the equivalence of expressions like (4 x 5) x 0 and 4 x (5 x 0), both resulting in zero.",{"name":119,"@type":110,"acceptedAnswer":120},"What is an example of the associative property?",{"text":121,"@type":113},"An example provided is (3 x 4) x 5 = 3 x (4 x 5), showing that re-grouping the factors does not change the result.","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},555871,1792994133,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},962090760505,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Multiplication-associative property  \nGrade 4 Math Worksheet  \nIn multiplication, the way in which the numbers are grouped in a problem does not change the product of those numbers.  \nExample: (3 x 4) x 5 = 3 x (4 x 5)  \nUse the associative property to fill the missing values.  \n1) (  × 8 ) × 82 = 82 × (   × 47 )  \n2) ( 2 ×   ) × 4 = ( 5 × 4 ) ×    \n3)   × ( 17 × 63 ) = 63 × (   × 55 )  \n4) ( 4 × 6 ) ×   = 9 × ( 4 ×   )  \n5) (  × 6 ) × 5 =   × ( 53 × 5 )  \n6) ( 7 × 60 ) ×   = ( 79 ×  ) × 60  \n7) 7 × (   × 8 ) = 44 × (   × 7 )  \n8) 4 × (   × 44 ) = 71 × (   × 4 )  \n9) 60 × ( 6 ×   ) =   × ( 4 × 6 )  \n10) 5 × (   × 43 ) = 5 × (   × 8 )  \nDoes the associative property apply to multiplication questions with a zero in them?  \nAnswer and show an example.  \nReading & Math for K-5 © [www.k5learning.com](www.k5learning.com)  \nMultiplication-associative property  \nGrade 4 Math Worksheet  \nIn multiplication, the way in which the numbers are grouped in a problem does not change the product of those numbers.  \nExample: (3 x 4) x 5 = 3 x (4 x 5)  \nUse the associative property to fill the missing values.  \n1) (  47  × 8 ) × 82 = 82 × (  8  × 47 )  \n2) ( 2 ×  5  ) × 4 = ( 5 × 4 ) ×  2  \n3)  55  × ( 17 × 63 ) = 63 × (  17  × 55 )  \n4) ( 4 × 6 ) ×  9  = 9 × ( 4 ×  6  )  \n5) (  53  × 6 ) × 5 =  6  × ( 53 × 5 )  \n6) ( 7 × 60 ) ×  79  = ( 79 ×  7  ) × 60  \n7) 7 × (  44  × 8 ) = 44 × (  8  × 7 )  \n8) 4 × (  71  × 44 ) = 71 × (  44  × 4 )  \n9) 60 × ( 6 ×  4  ) =  60  × ( 4 × 6 )  \n10) 5 × (  8  × 43 ) = 5 × (  43  × 8 )  \nDoes the associative property apply to multiplication questions with a zero in them?  \nAnswer and show an example.  \nYes, the associative property can be applied for multiplication questions with a zero in them.  \n(4 x 5) x 0 = 20 x 0 = 0  \n4 x (5 x 0) = 4 x 0 = 0  \nReading & Math for K-5 © [www.k5learning.com](www.k5learning.com)","cbCaitLfIlP1J7De","https://ap.wps.com/l/cbCaitLfIlP1J7De","pdf",58056,"English","# Associative Property of Multiplication Worksheet\n## Practice Problems\n## Conceptual Question and Solution","[{\"question\":\"What is the associative property of multiplication?\",\"answer\":\"The associative property states that in multiplication, the way in which numbers are grouped in a problem does not change the final product.\"},{\"question\":\"Does the associative property apply when multiplying with zero?\",\"answer\":\"Yes, the associative property applies to multiplication involving zero, as demonstrated by the equivalence of expressions like (4 x 5) x 0 and 4 x (5 x 0), both resulting in zero.\"},{\"question\":\"What is an example of the associative property?\",\"answer\":\"An example provided is (3 x 4) x 5 = 3 x (4 x 5), showing that re-grouping the factors does not change the result.\"}]","Grade 4 Math Worksheet - Multiplication Associative Property | PDF",1791795551]