[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-631463-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-631463-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","number-totals-investigation-5th-grade-math-challenge","Number Totals Investigation - 5th Grade Math Challenge","","This document presents a math investigation designed for 5th-grade students, focusing on the creative application of arithmetic operations. Using a fixed set of digits (3, 7, and 8), students are challenged to construct various mathematical expressions to achieve different totals. The activity emphasizes the use of fundamental operators including addition, subtraction, multiplication, and division, while incorporating constraints such as the ability to form two-digit numbers and the use of brackets to influence order of operations. The provided resource includes both the problem set and a detailed answer key with examples demonstrating potential solutions for finding the largest and smallest possible numerical outcomes. By exploring these combinations, students develop critical thinking and computational fluency, understanding how different structures affect the value of an expression. This educational material encourages experimentation with mathematical logic, illustrating how diverse arrangements of the same basic elements can produce a wide array of results and providing clear examples for self-assessment.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/number-totals-investigation-5th-grade-math-challenge/631463/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/number-totals-investigation-5th-grade-math-challenge/631463.png","ImageObject",300,407,{"name":42,"@type":43},"Olivia Brown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What are the rules for the Number Totals Investigation?","Question",{"text":62,"@type":63},"You must use the digits 3, 7, and 8 exactly once per combination, though digits can be combined into two-digit numbers. You can use operations like addition, subtraction, multiplication, and division multiple times, and brackets are allowed, but exponents are prohibited.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What is the largest possible number that can be formed using the digits 3, 7, and 8?",{"text":67,"@type":63},"The largest number identified in the investigation is 584, calculated by the expression 73 x 8.",{"name":69,"@type":60,"acceptedAnswer":70},"What is the smallest number that can be made in this investigation?",{"text":71,"@type":63},"The smallest possible value is -84, calculated as 3 - 87. If negative numbers are allowed by treating the subtraction symbol as a negative sign, -584 is also a possibility.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},631463,1792669127,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":95},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","NUMBER TOTALS INVESTIGATION  \n1) Use the digits and operations below to make 6 different answers.  \n• You can use the symbols more than once, but you can only use the digits once in each combination.  \n• The digits can be combined into 2 digit numbers if you wish.  \no For example, you could have 37 + 8, or 3 + 7 + 8.  \n• You can also use brackets where appropriate.  \n• Exponents are not allowed.  \n\n| 3 | 7 | 8 | + | ̶ | x | ÷ | = |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n2) What is the biggest number you can make?  \n3) What is the smallest number you can make?  \nNUMBER TOTALS INVESTIGATION ANSWERS  \n1) Use the digits and operations below to make 6 different answers.  \n• You can use the symbols more than once, but you can only use the digits once in each combination.  \n• The digits can be combined into 2 digit numbers if you wish.  \no For example, you could have 37 + 8, or 3 + 78.  \n• You can also use brackets where appropriate.  \n• Exponents are not allowed.  \n\n| 3 | 7 | 8 | + | ̶ | x | ÷ | = |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\nThere are many different answers you can make using the digits and symbols. Here are 10 of them:  \n\n| 3 + 7 + 8 = 18 | 37 + 8 = 45 | 3 + 7 – 8 = 2 | 3 x 7 – 8 = 13 | 3 x (7 + 8) = 45 |\n| --- | --- | --- | --- | --- |\n| 8 – 7 – 3 = -2 | 8 + 7 x 3 = 29 | 87 – 3 = 84 | 83 – 7 = 76 | 7 x (8 – 3) = 35 |\n\n2) What is the biggest number you can make?  \n73 x 8 = 584  \n3) What is the smallest number you can make?  \n3 – 87 = -84,  \nor possibly –73 x 8 = -584 if you are using the subtraction symbol as a  \nnegative sign;  \nthe smallest positive number would be 3 ÷ 87 ≈ 0.034","cbCaib9RJLEFMw8Q","https://ap.wps.com/l/cbCaib9RJLEFMw8Q","pdf",203360,"English","# Problem Statement\n## Rules for Investigation\n## Activity Questions\n# Solutions and Examples\n## Sample Calculations\n## Determining Maximum and Minimum Values","[{\"question\":\"What are the rules for the Number Totals Investigation?\",\"answer\":\"You must use the digits 3, 7, and 8 exactly once per combination, though digits can be combined into two-digit numbers. You can use operations like addition, subtraction, multiplication, and division multiple times, and brackets are allowed, but exponents are prohibited.\"},{\"question\":\"What is the largest possible number that can be formed using the digits 3, 7, and 8?\",\"answer\":\"The largest number identified in the investigation is 584, calculated by the expression 73 x 8.\"},{\"question\":\"What is the smallest number that can be made in this investigation?\",\"answer\":\"The smallest possible value is -84, calculated as 3 - 87. If negative numbers are allowed by treating the subtraction symbol as a negative sign, -584 is also a possibility.\"}]","Number Totals Investigation - 5th Grade Math Challenge | PDF"]