[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-631367-105":59,"doc-detail-631367-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","broken-calculator-problem-3-math-challenge","Broken Calculator Problem 3 - Math Challenge","","This document presents a fun and educational math challenge titled 'Broken Calculator Problem 3,' designed to test arithmetic creativity and problem-solving skills. The premise involves a calculator where only the digits 4 and 7, along with the addition, subtraction, and equals buttons, are functional. Students are tasked with forming every integer from 1 to 20 using only these available operations. The resource provides both an empty worksheet for practice and a comprehensive answer key showing various combinations to reach each target number, making it an excellent tool for elementary-level math enrichment and critical thinking development. By requiring students to manipulate these specific numbers, the exercise reinforces basic arithmetic fluency and the understanding of mathematical expressions in an engaging, puzzle-like format. The materials are suitable for classroom use, homework assignments, or independent student practice.",{"@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/broken-calculator-problem-3-math-challenge/631367/",{"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/broken-calculator-problem-3-math-challenge/631367.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What buttons are functional on the broken calculator?","Question",{"text":112,"@type":113},"Only the 4, 7, addition (+), subtraction (-), and equals (=) buttons work.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the goal of the challenge?",{"text":117,"@type":113},"The goal is to use the functional buttons to create all numbers from 1 to 20.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you represent the number 12 using the broken calculator?",{"text":121,"@type":113},"The number 12 can be represented by the expression 4 + 4 + 4.","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},631367,1793097062,{"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":81,"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},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","BROKEN CALCULATOR PROBLEM 3  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 4, 7,+, -and = button.  \nCan you help the Captain make all the numbers from 1 to 20 using his broken calculator?  \nExample: he can make 9 using 4 + 4 + 4 + 4-7 = 9 .  \n= 1  \n\n| = 2 |\n| --- |\n| = 3 |\n| = 4 |\n| = 5 |\n| = 6 |\n| = 7 |\n| = 8 |\n| 4 + 4 + 4 + 4 – 7 = 9 |\n| = 10 |\n\n= 11  \n\n| = 12 |\n| --- |\n| = 13 |\n| = 14 |\n| = 15 |\n| = 16 |\n| = 17 |\n| = 18 |\n| = 19 |\n| = 20 |\n\nBROKEN CALCULATOR PROBLEM 3  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 4, 7,+, -and = button.  \nCan you help the Captain make all the numbers from 1 to 20 using his broken calculator?  \nExample: he can make 9 using 4 + 4 + 4 + 4-7 = 9.  \nBROKEN CALCULATOR PROBLEM 3 ANSWERS  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 4, 7,+, -and = button.  \nYou can make any of the numbers from 1 to 20 in a variety of ways. There is an example of how to make each number below.  \n4 + 4 – 7 = 1  \n\n| 7 + 7 – 4 – 4 – 4 | = 2 |\n| --- | --- |\n| 7 – 4 | = 3 |\n| 4 | = 4 |\n| 4 + 4 + 4 – 7 | = 5 |\n| 7 + 7 – 4 – 4 | = 6 |\n| 7 | = 7 |\n| 4 + 4 | = 8 |\n| 4 + 4 + 4 + 4 – 7 | = 9 |\n| 7 + 7 – 4 | = 10 |\n\n7 + 4 = 11  \n\n| 4 + 4 + 4 | = 12 |\n| --- | --- |\n| 4 + 4 + 4 + 4 + 4 – 7 | = 13 |\n| 7 + 7 | = 14 |\n| 4 + 4 + 7 | = 15 |\n| 4 + 4 + 4 + 4 | = 16 |\n| 7 + 7 + 7-4 | = 17 |\n| 7 + 7 + 4 | = 18 |\n| 4 + 4 + 4 + 7 | = 19 |\n| 4 + 4 + 4 + 4 + 4 | = 20 |","cbCaih7j6AHIDsvg","https://ap.wps.com/l/cbCaih7j6AHIDsvg","pdf",171030,"English","# Broken Calculator Problem 3\n## Challenge Instructions\n## Worksheet for Students\n## Answer Key","[{\"question\":\"What buttons are functional on the broken calculator?\",\"answer\":\"Only the 4, 7, addition (+), subtraction (-), and equals (=) buttons work.\"},{\"question\":\"What is the goal of the challenge?\",\"answer\":\"The goal is to use the functional buttons to create all numbers from 1 to 20.\"},{\"question\":\"How can you represent the number 12 using the broken calculator?\",\"answer\":\"The number 12 can be represented by the expression 4 + 4 + 4.\"}]","Broken Calculator Problem 3 - Math Challenge | PDF",1792669009]