[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-555901-105":59,"doc-detail-555901-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","distributive-property-of-multiplication-grade-5-math-worksheet","Distributive Property of Multiplication - Grade 5 Math Worksheet","","This document provides a set of Grade 5 mathematics worksheets specifically focused on the distributive property of multiplication. It includes multiple practice problems where students are tasked with rewriting multiplication equations by breaking down numbers into expanded forms—such as separating hundreds, tens, and units—to solve them systematically. The content features detailed examples demonstrating the step-by-step application of the property, followed by fifteen distinct exercises with their corresponding solutions to reinforce student comprehension of arithmetic properties and mental math strategies. Designed for classroom use or individual home practice, these worksheets help students build foundational skills in multi-digit multiplication by encouraging logical decomposition of factors. The structured layout allows learners to visualize the distributive process clearly through parenthetical expressions and partial products, facilitating better retention of mathematical concepts. The document serves as an effective supplemental assessment tool for teachers and parents aiming to track student progress in core algebraic arithmetic during the fifth-grade curriculum level.",{"@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/distributive-property-of-multiplication-grade-5-math-worksheet/555901/",{"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/distributive-property-of-multiplication-grade-5-math-worksheet/555901.png","ImageObject",300,407,{"name":92,"@type":93},"SANS","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-10-12",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the distributive property of multiplication as shown in the worksheet?","Question",{"text":112,"@type":113},"The distributive property involves breaking down a larger number into its place value components (e.g., hundreds, tens, and ones) and multiplying each part by the other factor before adding the products together, as seen in the example: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should a student approach solving 6 x 562 using the distributive property?",{"text":117,"@type":113},"To solve 6 x 562, the student should break 562 into (500 + 60 + 2), then apply the property to get (6 x 500) + (6 x 60) + (6 x 2), which results in 3,000 + 360 + 12, totaling 3,372.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the purpose of these Grade 5 multiplication worksheets?",{"text":121,"@type":113},"These worksheets are designed to help students master the distributive property by providing structured practice problems that encourage decomposing multi-digit numbers to simplify complex multiplication calculations.","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},555901,1792856822,{"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":24,"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","Distributive property of multiplication  Grade 5 Multiplication Worksheet  \nExample: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3) = 60 + 9 = 69  \nRewrite the equations using the distributive property and find  \nthe answer.  \n1) 6 × 562 =   2) 5 × 383 =   3) 8 × 95 =   4) 4 × 117 =   5) 4 × 182 =   6) 10 × 89 =   7) 8 × 216 =   8) 5 × 47 =   9) 7 × 831 =   10) 8 × 333 =   11) 10 × 91 =   12) 8 × 213 =   13) 5 × 39 =   14) 9 × 74 =    \n15) 3 × 368 =    \nDistributive property of multiplication  Grade 5 Multiplication Worksheet  \nExample: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3) = 60 + 9 = 69  \nRewrite the equations using the distributive property and find  \nthe answer.  \n1) 6 × 562 =  6 x (500 + 60 + 2) = (6 x 500) + (6 x 60) + (6 x 2) = 3,000 + 360 + 12 = 3,372  \n2) 5 × 383 =  5 x (300 + 80 + 3) = (5 x 300) + (5 x 80) + (5 x 3) = 1,500 + 400 + 15 = 1,9 15  \n3) 8 × 95 =  8 x (90 + 5) = (8 x 90) + (8 x 5) = 720 + 40 = 760   \n4) 4 × 117 =  4 x (100 + 10 + 7) = (4 x 100) + (4 x 10) + (4 x 7) = 400 + 40 + 28 = 468   \n5) 4 × 182 =  4 x (100 + 80 + 2) = (4 x 100) + (4 x 80) + (4 x 2) = 400 + 320 + 8 = 728   \n6) 10 × 89 =  10 x (80 + 9) = (10 x 80) + (10 x 9) = 800 + 90 = 890   \n7) 8 × 216 =  8 x (200 + 10 + 6) = (8 x 200) + (8 x 10) + (8 x 6) = 1,600 + 80 + 48 = 1,728  \n8) 5 × 47 =  5 x (40 + 7) = (5 x 40) + (5 x 7) = 200 + 35 = 235   \n9) 7 × 831 =  7 x (800 + 30 + 1) = (7 x 800) + (7 x 30) + (7 x 1) = 5,600 + 210 + 7 = 5,817  \n10) 8 × 333 =  8 x (300 + 30 + 3) = (8 x 300) + (8 x 30) + (8 x 3) = 2,400 + 240 + 24 = 2,664  \n11) 10 × 91 =  10 x (90 + 1) = (10 x 90) + (10 x 1) = 900 + 10 = 910   \n12) 8 × 213 =  8 x (200 + 10 + 3) = (8 x 200) + (8 x 10) + (8 x 3) = 1,600 + 80 + 24 = 1,704  \n13) 5 × 39 =  5 x (30 + 9) = (5 x 30) + (5 x 9) = 150 + 45 = 195   \n14) 9 × 74 = 9 x ( 70 + 4) = (9 x 70) + (9 x 4) = 630 + 36 = 666   \n15) 3 × 368 =  3 x (300 + 60 + 8) = (3 x 300) + (3 x 60) + (3 x 8) = 900 + 180 + 24 = 1,104","cbCaibMmu7A3SQkI","https://ap.wps.com/l/cbCaibMmu7A3SQkI","pdf",102153,"English","# Distributive Property Exercises\n## Answer Key and Examples","[{\"question\":\"What is the distributive property of multiplication as shown in the worksheet?\",\"answer\":\"The distributive property involves breaking down a larger number into its place value components (e.g., hundreds, tens, and ones) and multiplying each part by the other factor before adding the products together, as seen in the example: 3 x 23 = 3 x (20 + 3) = (3 x 20) + (3 x 3).\"},{\"question\":\"How should a student approach solving 6 x 562 using the distributive property?\",\"answer\":\"To solve 6 x 562, the student should break 562 into (500 + 60 + 2), then apply the property to get (6 x 500) + (6 x 60) + (6 x 2), which results in 3,000 + 360 + 12, totaling 3,372.\"},{\"question\":\"What is the purpose of these Grade 5 multiplication worksheets?\",\"answer\":\"These worksheets are designed to help students master the distributive property by providing structured practice problems that encourage decomposing multi-digit numbers to simplify complex multiplication calculations.\"}]","Distributive Property of Multiplication - Grade 5 Math Worksheet | PDF",1791795595]