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Items describe draining and filling tanks, elevator and airplane altitude shifts, temperature increases and decreases, follower count gains and losses, account balance and credit changes, inventory differences, and sports or goal run differences. Each scenario prompts writing the integer that matches the direction and magnitude of change, reinforcing sign conventions and meaningful interpretation of positive and negative values.",{"@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/writing-integers-for-real-world-changes-answer-key/485651/",{"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/writing-integers-for-real-world-changes-answer-key/485651.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do I determine whether the integer should be positive or negative?","Question",{"text":112,"@type":113},"Use the scenario’s direction of change: gaining, rising, increasing, or going up corresponds to positive integers, while losing, falling, decreasing, or going down corresponds to negative integers.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does a sentence like “drained by 40 gallons” represent?",{"text":117,"@type":113},"“Drained by 40 gallons” is a decrease in amount of water, so it corresponds to a negative integer (−40).",{"name":119,"@type":110,"acceptedAnswer":120},"What do the answer key values represent in this worksheet?",{"text":121,"@type":113},"Each number in the answer key is the integer that represents the change described in its matching situation, encoding both magnitude and direction with a sign.","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},485651,1792935761,{"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":14,"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,"preview_page_count":4},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Writing Integers for Real-World Changes  \nName:  \n\n| Read each situation. Write the integer that represents the change.\u003Cbr>1) A water tank was drained by 40 gallons. What integer represents the change in the amount of water?\u003Cbr>2) An elevator moved from the lobby up 3 floors. What integer represents the change in floor number?\u003Cbr>3) Nancy noticed that her channel had lost 28 followers. What integer represents the change in the number of followers?\u003Cbr>4) Paige lowered her drone by 45 feet. What integer represents the change in the drone's altitude?\u003Cbr>5) A warehouse received 30 more boxes than it shipped. What integer represents the change in inventory?\u003Cbr>6) After several rainy days, the water level in a river rose by 5 feet. What integer represents the change in water level?\u003Cbr>7) A water tank was filled with 50 gallons of water. What integer represents the change in the amount of water?\u003Cbr>8) A hockey team allowed 4 more goals than it scored. What integer represents the team's goal difference?\u003Cbr>9) An airplane climbed 1,100 feet to avoid a storm. What integer represents the change in altitude?\u003Cbr>10) Luke noticed that his channel had gained 31 followers. What integer represents the change in the number of followers?\u003Cbr>11) Adam made a $46 purchase with his credit card. What integer represents the change in his available credit?\u003Cbr>12) As an oven heated, its temperature increased by 75°F. What integer represents the change in temperature?\u003Cbr>13) A submarine descended 120 meters. What integer represents the change in its elevation?\u003Cbr>14) A baseball team scored 7 more runs than its opponent. What integer represents the team's run difference?\u003Cbr>15) From noon to midnight, the temperature fell by 16°F. What integer represents the change in temperature?\u003Cbr>16) Sarah paid an $85 bill from her checking account. What integer represents the change in her account balance? |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 5 | 1-10\u003Cbr>11-16 | 94 | 88 | 81 |  | 75 | 69 | 63 | 56 | 50 | 44 | 38 |\n|  |  |  |  | 31 | 25 | 19 |  | 13 | 6 | 0 |  |  |  |  |\n\nWriting Integers for Real-World Changes  \nName: Answer Key  \n\n| Read each situation. Write the integer that represents the change.\u003Cbr>1) A water tank was drained by 40 gallons. What integer represents the change in the amount of water? |  |  |  |  | Answers\u003Cbr>1.  -40  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | An elevator moved from the lobby up 3 floors. What integer represents the change in floor number? |  |  |  | 2.  3  |  |  |  |  |  |  |  |\n| 3) | Nancy noticed that her channel had lost 28 followers. What integer represents the change in the number of followers? |  |  |  | 3. |  | -28 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | Paige lowered her drone by 45 feet. What integer represents the change in the drone's altitude? |  |  |  | 4.\u003Cbr>5. |  | -45 |  |  |  |  |  |\n|  |  |  |  |  |  |  | 30 |  |  |  |  |  |\n| 5) | A warehouse received 30 more boxes than it shipped. What integer represents the change in inventory? |  |  |  | 6. |  | 5 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | After several rainy days, the water level in a river rose by 5 feet. What integer represents the change in water level? |  |  |  | 7. |  | 50 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | A water tank was filled with 50 gallons of water. What integer represents the change in the amount of water? |  |  |  | 8. |  | -4 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | A hockey team allowed 4 more goals than it scored. What integer represents the team's goal difference? |  |  |  ","cbCaiorPaikdC48h","https://ap.wps.com/l/cbCaiorPaikdC48h","pdf",45733,"English","# Integer change scenarios\n## Water, inventory, and account balance\n## Elevation and temperature changes\n## Followers and sports statistics","[{\"question\":\"How do I determine whether the integer should be positive or negative?\",\"answer\":\"Use the scenario’s direction of change: gaining, rising, increasing, or going up corresponds to positive integers, while losing, falling, decreasing, or going down corresponds to negative integers.\"},{\"question\":\"What does a sentence like “drained by 40 gallons” represent?\",\"answer\":\"“Drained by 40 gallons” is a decrease in amount of water, so it corresponds to a negative integer (−40).\"},{\"question\":\"What do the answer key values represent in this worksheet?\",\"answer\":\"Each number in the answer key is the integer that represents the change described in its matching situation, encoding both magnitude and direction with a sign.\"}]","Writing Integers for Real-World Changes - Answer Key | PDF",1790804700]