[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-478457-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-478457-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","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 worksheet provides a structured series of exercises designed to teach students how to visually represent integer addition and subtraction using a number line. By breaking down each mathematical expression into individual hops, the document encourages learners to conceptualize the movement along the number line to find the correct result. The content covers various scenarios, including adding positive and negative integers and subtracting both positive and negative values, making it a comprehensive tool for reinforcing fundamental arithmetic operations. With clear, repeatable examples, this resource is highly effective for classroom instruction or independent study, helping students build confidence and precision in their computational skills through a methodical, step-by-step approach to number line arithmetic.",{"@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/showing-an-integer-sum-with-hops-on-a-number-line-practice-exercises/478457/",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/showing-an-integer-sum-with-hops-on-a-number-line-practice-exercises/478457.png","ImageObject",300,407,{"name":42,"@type":43},"Grenda","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-09-30",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},"How do you represent the calculation -4 - (-9) on a number line?","Question",{"text":62,"@type":63},"To solve this, you start at -4 and perform hops corresponding to the operation. Since subtracting a negative is equivalent to adding a positive, you move 9 units to the right, landing on 5.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What is the goal of the 'hop' method in these exercises?",{"text":67,"@type":63},"The hop method is designed to help students visualize the direction and magnitude of movement along a number line when performing addition or subtraction, making abstract arithmetic operations concrete.",{"name":69,"@type":60,"acceptedAnswer":70},"How are subtraction operations involving positive integers handled on the number line?",{"text":71,"@type":63},"When subtracting a positive integer, such as 2 - 4, you start at the first number (2) and move to the left by the number of units being subtracted (4 units) to arrive at the result of -2.","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},478457,1793134803,{"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":30,"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":143,"read_time":110},7971474921005,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Draw each sum on the number line, one hop at a time.  \n1) -4 − (-9) = 5  \n−5 −4 −3 −2 −1 0 1 2 3 4 5 6  \n2) -4 − 7 = -11  \n−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 + (-3) = -5  \n−6 −5 −4 −3 −2 −1 0 1  \n4) 5 + 2 = 7  \n−1 0 1 2 3 4 5 6 7 8  \n5) 7 + (-3) = 4  \n−1 0 1 2 3 4 5 6 7 8  \n6) 2 − 4 = -2  \n−3 −2 −1 0 1 2 3  \nDraw each sum on the number line, one hop at a time.  \n1) -4 − (-9) = 5  \n−5 −4 −3 −2 −1 0 1 2 3 4 5 6  \n2) -4 − 7 = -11  \n−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 + (-3) = -5  \n−6 −5 −4 −3 −2 −1 0 1  \n4) 5 + 2 = 7  \n−1 0 1 2 3 4 5 6 7 8  \n5) 7 + (-3) = 4  \n−1 0 1 2 3 4 5 6 7 8  \n6) 2 − 4 = -2  \n−3 −2 −1 0 1 2 3  \nDraw each sum on the number line, one hop at a time.  \n1) -4 − (-9) = 5  \n−5 −4 −3 −2 −1 0 1 2 3 4 5 6  \n2) -4 − 7 = -11  \n−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1  \n3) -2 + (-3) = -5  \n−6 −5 −4 −3 −2 −1 0 1  \n4) 5 + 2 = 7  \n−1 0 1 2 3 4 5 6 7 8","cbCaitpN5R0tlCH3","https://ap.wps.com/l/cbCaitpN5R0tlCH3","pdf",82036,"English","# Integer Addition and Subtraction Exercises\n## Number Line Visualization Problems","[{\"question\":\"How do you represent the calculation -4 - (-9) on a number line?\",\"answer\":\"To solve this, you start at -4 and perform hops corresponding to the operation. Since subtracting a negative is equivalent to adding a positive, you move 9 units to the right, landing on 5.\"},{\"question\":\"What is the goal of the 'hop' method in these exercises?\",\"answer\":\"The hop method is designed to help students visualize the direction and magnitude of movement along a number line when performing addition or subtraction, making abstract arithmetic operations concrete.\"},{\"question\":\"How are subtraction operations involving positive integers handled on the number line?\",\"answer\":\"When subtracting a positive integer, such as 2 - 4, you start at the first number (2) and move to the left by the number of units being subtracted (4 units) to arrive at the result of -2.\"}]","Showing an Integer Sum with Hops on a Number Line - Practice Exercises | PDF",1790791575]