[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360957-105":59,"doc-detail-360957-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","multiplying-decimals-missing-factors-missing-factor-equations-practice","Multiplying Decimals - Missing Factors - Missing factor equations practice","","Practice set on multiplying decimals by finding the missing factor in equations. Each problem asks for the value that makes the multiplication statement true, ranging from simple ten-times or hundred-times patterns to larger scale factors like 1,000. Includes a challenge scenario about diluting a concentrated lab solution: multiply by an unknown factor to convert 0.6578 liters into 65.78 liters, then interpret what the factor represents.",{"@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/multiplying-decimals-missing-factors-missing-factor-equations-practice/360957/",{"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/multiplying-decimals-missing-factors-missing-factor-equations-practice/360957.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","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},"What does “missing factor” mean in these decimal multiplication equations?","Question",{"text":112,"@type":113},"The missing factor is the number that, when multiplied by the given decimal, produces the stated result. Solving each equation reveals that value.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the missing factor when the equation involves 10, 100, or 1,000?",{"text":117,"@type":113},"Use division: missing factor = (result) ÷ (given decimal). Many answers come from patterns that shift the decimal point by a fixed number of places.",{"name":119,"@type":110,"acceptedAnswer":120},"In the dilution challenge, what does the missing factor represent?",{"text":121,"@type":113},"It represents the scale factor that converts the concentrated solution amount (0.6578 liters) into the diluted amount (65.78 liters). Multiplying by the factor shifts the decimal point appropriately.","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},360957,1790649466,{"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},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Name:    \nMultiplying Decimals (Missing Factors)  \nDirections: Find the missing factor that makes each equation true.  \n1.) 92.157 ×   = 9,215 .70  \n2.) 5.021 ×   = 50.21  \n3.) 41.382 ×   = 4,138 .2  \n4.)   × 1,000 = 9,202 .4  \n5.)   × 10 = 921.5  \n6.)   × 1,000 = 61,091  \n7.) 21.6932 ×   = 21,693 .2  \n8.)   × 100 = 56.78  \n9.) × 10 = 65.14  \n____________  \n10.) 73.95 ×   = 73,950  \n11.)   × 100 = 1,430 .6  \n12.) 82.057 ×   = 8,205 .7  \n13.) 6.784 ×   = 67.84  \n14.)   × 10 = 123.45  \n15.) 0.958 ×   = 95.8  \n16.)   × 1,000 = 4,560 .3  \n17. Challenge Problem:  \nA laboratory technician needs to prepare a diluted solution. According  \nto the protocol, 0.6578 liters of a concentrated solution is diluted by multiplying by a certain factor to yield 65.78 liters of diluted solution.  \nWrite and solve the equation to find the missing factor, and explain what it represents.  \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  \n×   =    \nANSWER KEY  \n1.) Missing factor = 9,215.70 ÷ 92.157 = 100  \n2.) Missing factor = 50.21 ÷ 5.021 = 10  \n3.) Missing factor = 4,138.2 ÷ 41.382 = 100  \n4.) Missing factor = 9,202.4 ÷ 1,000 = 9.2024  \n5.) Missing factor = 921.5 ÷ 10 = 92.15  \n6.) Missing factor = 61,091 ÷ 1,000 = 61.091  \n7.) Missing factor = 21,693.2 ÷ 21.6932 = 1,000  \n8.) Missing factor = 56.78 ÷ 100 = 0.5678  \n9.) Missing factor = 65.14 ÷ 10 = 6.514  \n10.) Missing factor = 73,950 ÷ 73.95 = 1,000  \n11.) Missing factor = 1,430.6 ÷ 100 = 14.306  \n12.) Missing factor = 8,205.7 ÷ 82.057 = 100  \n13.) Missing factor = 67.84 ÷ 6.784 = 10  \n14.) Missing factor = 123.45 ÷ 10 = 12.345  \n15.) Missing factor = 95.8 ÷ 0.958 = 100  \n16.) Missing factor = 4,560.3 ÷ 1,000 = 4.5603  \n17.) Challenge Problem:  \nMissing factor = 65.78 ÷ 0.6578 = 100  \nExplanation: Multiplying by 100 shifts the decimal point two places to the right. This factor (100) is used here to convert 0.6578 to 65.78.  \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  \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","cbCainPMozzqLxTU","https://ap.wps.com/l/cbCainPMozzqLxTU","pdf",626147,"English","# Directions\n## Missing Factor Problems (1-16)\n## Challenge Problem (17)\n# Answer Key","[{\"question\":\"What does “missing factor” mean in these decimal multiplication equations?\",\"answer\":\"The missing factor is the number that, when multiplied by the given decimal, produces the stated result. Solving each equation reveals that value.\"},{\"question\":\"How do you find the missing factor when the equation involves 10, 100, or 1,000?\",\"answer\":\"Use division: missing factor = (result) ÷ (given decimal). Many answers come from patterns that shift the decimal point by a fixed number of places.\"},{\"question\":\"In the dilution challenge, what does the missing factor represent?\",\"answer\":\"It represents the scale factor that converts the concentrated solution amount (0.6578 liters) into the diluted amount (65.78 liters). Multiplying by the factor shifts the decimal point appropriately.\"}]","Multiplying Decimals - Missing Factors - Missing factor equations practice | PDF",1790142286]