[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572860-105":53,"doc-detail-572860-en":119},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":112,"head_meta":114,"extra_data":116,"updated_unix":118},105,"en","multiplication-tricks-uvu-math-lab-division-tricks","Multiplication Tricks - UVU Math Lab - Division Tricks","","A teaching handout covering quick mental strategies for multiplication and rules for divisibility. It explains table-based methods for multiplying by 7, 8, 9, and 12, including step-by-step counting or digit pattern approaches. It also presents divisibility tests for 2, 3, 4, 5, 6, 8, and 9 with short examples, enabling faster number evaluation without long division.",{"@graph":63,"@context":111},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":51,"@type":70,"position":76},"https://docshare.wps.com/template/general/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/multiplication-tricks-uvu-math-lab-division-tricks/572860/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/multiplication-tricks-uvu-math-lab-division-tricks/572860.png","ImageObject",442,249,{"name":88,"@type":89},"Patrick","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-20","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",6,{"@type":103,"mainEntity":104},"FAQPage",[105],{"name":106,"@type":107,"acceptedAnswer":108},"What divisibility rule checks whether a number is divisible by 4?","Question",{"text":109,"@type":110},"Check whether the number formed by the last two digits is divisible by 4. For example, 316 works because 16 is divisible by 4.","Answer","https://schema.org",{"og:url":78,"og:type":113,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":115,"canonical":78},"index,follow",{"doc_id":117,"site_id":56},572860,1792011650,{"code":4,"msg":5,"data":120},{"doc_id":117,"user_id":121,"nickname":88,"user_avatar":122,"doc_module":9,"category_id":50,"category_name":51,"doc_title":59,"doc_description":61,"doc_content":123,"file_id":124,"file_url":125,"file_type":126,"file_size":127,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":73,"language":128,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":129,"faqs":130,"seo_title":131,"seo_description":61,"update_tm":132,"read_time":9},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","Multiplication Tricks  \nUVU Math Lab  \n\n| Multiplication by 7: |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| Table Method: Write a table using the following patterns. |  |  |  |  |\n| Step 1:\u003Cbr>7 4 1 8 5 2 9 6 3 | | Step 2:\u003Cbr>07 14 21 28 35 42 49 56 63 | Step 3:\u003Cbr>􀫠 × | 1= 07 2= 14 3= 21 4= 28 5= 35 6= 42 7= 49 8= 56 9= 63 |\n\n\n| Multiplication by 8: |  |\n| --- | --- |\n| Table Method: |  |\n| Step 1:\u003Cbr>Count down from 0 to 8, adding an extra 4.\u003Cbr>Step 2:\u003Cbr>Count up from 0 by even numbers. Start over after 8. | 􀫡 × 1 =\u003Cbr>2 =\u003Cbr>3 =\u003Cbr>4 =\u003Cbr>5 =\u003Cbr>6 =\u003Cbr>7 =\u003Cbr>8 =\u003Cbr>9 =\u003Cbr>10 =\u003Cbr>|\n\n\n| Multiplication by 12: |  |\n| --- | --- |\n| Table Method: |  |\n| Step 1:\u003Cbr>Count down from 0 to 14, skipping 5 and 11.\u003Cbr>Step 2:\u003Cbr>Count down from 0 by even numbers. Start over after 8. | 􀫚􀫛 × 0 =\u003Cbr>1 =\u003Cbr>2 =\u003Cbr>3 =\u003Cbr>4 =\u003Cbr>5 =\u003Cbr>6 =\u003Cbr>7 =\u003Cbr>8 =\u003Cbr>9 = 10 =\u003Cbr>11 =\u003Cbr>12 =\u003Cbr>|\n\n\n| Multiplication by 9: |  |\n| --- | --- |\n| Table Method: | Hand Method:\u003Cbr>1. Hold up ten fingers.\u003Cbr>2. Count over from the left the number of fingers equal to the multiplier.\u003Cbr>3. Hold that finger down.\u003Cbr>4. The number of fingers to the left of the multiplier is the tens place of the solution.\u003Cbr>5. The number of fingers to the right is in the ones place of the solution.\u003Cbr>9 × 3\u003Cbr>2 7\u003Cbr>|\n| 􀫢 × 􀫚 =\u003Cbr>􀫛 =\u003Cbr>􀫜 =\u003Cbr>􀫝 =\u003Cbr>􀫞 =\u003Cbr>􀫟 =\u003Cbr>􀫠 =\u003Cbr>􀫡 =\u003Cbr>􀫢 =\u003Cbr>􀫚􀫙 =\u003Cbr>|  |\n\nMore handouts like this are available at: [www.uvu.edu/mathlab/mathresources/](www.uvu.edu/mathlab/mathresources/)  \nDivision Tricks  \nUVU Math Lab  \n\n| A number is divisible by… | if the… Example: |  |  |\n| --- | --- | --- | --- |\n| 2 | last digit is even. 168, since the last digit is even. |  |  |\n| 3 | sum of the digits is divisible by 3. 168, since 1 + 6 + 8 = 15 and 15 is divisible by 3. |  |  |\n| 4 | number formed by the last two digits is divisible by 4.\u003Cbr>316, since 16 is divisible by 4. |  |  |\n| 5 | last digit is 5 or 0. | 195 or 200 since the last digits are 5 and 0\u003Cbr>respectively. |  |\n| 6 | number is divisible by both 2 and 3.\u003Cbr>168, since it is divisible by both 2 and 3 as shown above. |  |  |\n| 8 | number formed by the last three digits is\u003Cbr>divisible by 8. |  | 7120, since 120 is divisible by 8. |\n| 9 | sum of the digits is divisible by 9. 549, since 5 + 4 + 9 = 18 and is divisible by 9. |  |  |\n\nMore handouts like this are available at: [www.uvu.edu/mathlab/mathresources/](www.uvu.edu/mathlab/mathresources/)","cbCaion2elVIA2Hm","https://ap.wps.com/l/cbCaion2elVIA2Hm","pdf",195592,"English","# Multiplication Tricks\n## Multiplication by 7 - Table Method\n## Multiplication by 8 - Table Method\n## Multiplication by 12 - Table Method\n## Multiplication by 9 - Hand Method\n# Division Tricks\n## Divisible by 2\n## Divisible by 3\n## Divisible by 4\n## Divisible by 5\n## Divisible by 6\n## Divisible by 8\n## Divisible by 9","[{\"question\":\"What divisibility rule checks whether a number is divisible by 4?\",\"answer\":\"Check whether the number formed by the last two digits is divisible by 4. For example, 316 works because 16 is divisible by 4.\"}]","Multiplication Tricks - UVU Math Lab - Division Tricks | PDF",1791929728]