[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-478460-105":59,"doc-detail-478460-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","showing-an-integer-sum-with-hops-on-a-number-line-practice-exercises","Showing an Integer Sum with Hops on a Number Line - Practice Exercises","","This educational resource provides a series of mathematical exercises designed to help students visualize and solve integer arithmetic problems using number lines. Each problem requires the learner to represent addition and subtraction operations by drawing hops on a number line, reinforcing the conceptual understanding of positive and negative integers, directionality, and number relationships. The document includes multiple examples covering diverse arithmetic scenarios, such as subtracting positive numbers, adding negative numbers, and handling double negatives, serving as an effective practice tool for middle school mathematics students to master integer operations. By breaking down calculations into incremental steps, the material promotes a logical approach to solving equations that might otherwise be abstract or confusing for learners. The clear structure and repetitive nature of the exercises facilitate self-directed learning and skill solidification, making it a valuable asset for classroom or home practice sessions focusing on foundational algebraic concepts and number sense development.",{"@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/showing-an-integer-sum-with-hops-on-a-number-line-practice-exercises/478460/",{"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/showing-an-integer-sum-with-hops-on-a-number-line-practice-exercises/478460.png","ImageObject",300,407,{"name":92,"@type":93},"Grenda","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",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},"How do you represent integer operations using a number line?","Question",{"text":112,"@type":113},"You represent integer operations by starting at the first number and drawing hops to the left or right based on whether the number being added or subtracted is positive or negative.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean to subtract a negative number, such as -2 - (-9)?",{"text":117,"@type":113},"Subtracting a negative number is equivalent to adding a positive number; therefore, -2 - (-9) is the same as -2 + 9, which results in 7.",{"name":119,"@type":110,"acceptedAnswer":120},"How are these exercises structured for students?",{"text":121,"@type":113},"The exercises are structured by providing an arithmetic equation followed by a numerical scale, encouraging the student to manually draw the hops to demonstrate the path to the solution.","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},478460,1792811104,{"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":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},7971474921005,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Draw each sum on the number line, one hop at a time.  \n1) 6 − 5 = 1  \n−1 0 1 2 3 4 5 6 7  \n2) -9 + 9 = 0  \n−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 − (-9) = 7  \n−3 −2 −1 0 1 2 3 4 5 6 7 8  \n4) -3 + (-7) = -10  \n−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n5) 2 + (-3) = -1  \n−2 −1 0 1 2 3  \n6) -2 − 7 = -9  \n−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \nDraw each sum on the number line, one hop at a time.  \n1) 6 − 5 = 1  \n−1 0 1 2 3 4 5 6 7  \n2) -9 + 9 = 0  \n−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 − (-9) = 7  \n−3 −2 −1 0 1 2 3 4 5 6 7 8  \n4) -3 + (-7) = -10  \n−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n5) 2 + (-3) = -1  \n−2 −1 0 1 2 3  \n6) -2 − 7 = -9  \n−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \nDraw each sum on the number line, one hop at a time.  \n1) 6 − 5 = 1  \n−1 0 1 2 3 4 5 6 7  \n2) -9 + 9 = 0  \n−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 − (-9) = 7  \n−3 −2 −1 0 1 2 3 4 5 6 7 8  \n4) -3 + (-7) = -10  \n−11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1","cbCais4NHIXCT90g","https://ap.wps.com/l/cbCais4NHIXCT90g","pdf",82693,"English","# Integer Addition and Subtraction Practice\n## Problems and Number Lines","[{\"question\":\"How do you represent integer operations using a number line?\",\"answer\":\"You represent integer operations by starting at the first number and drawing hops to the left or right based on whether the number being added or subtracted is positive or negative.\"},{\"question\":\"What does it mean to subtract a negative number, such as -2 - (-9)?\",\"answer\":\"Subtracting a negative number is equivalent to adding a positive number; therefore, -2 - (-9) is the same as -2 + 9, which results in 7.\"},{\"question\":\"How are these exercises structured for students?\",\"answer\":\"The exercises are structured by providing an arithmetic equation followed by a numerical scale, encouraging the student to manually draw the hops to demonstrate the path to the solution.\"}]","Showing an Integer Sum with Hops on a Number Line - Practice Exercises | PDF",1790791578]