{"id":273063,"date":"2025-07-27T08:46:48","date_gmt":"2025-07-27T08:46:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=273063"},"modified":"2025-07-27T08:46:53","modified_gmt":"2025-07-27T08:46:53","slug":"aisha-is-playing-a-game-in-which-she-can-gain-or-lose-points-on-each-turn","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/aisha-is-playing-a-game-in-which-she-can-gain-or-lose-points-on-each-turn\/","title":{"rendered":"Aisha is playing a game in which she can gain or lose points on each turn"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-897.png\" alt=\"\" class=\"wp-image-273065\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<p>Aisha compares the&nbsp;<strong>absolute values<\/strong>&nbsp;of her four scores in her statement. A score of -16 represents the&nbsp;<strong>greatest loss<\/strong>&nbsp;of points for these four turns. The number for Aisha&#8217;s highest score will be&nbsp;<strong>furthest to the right<\/strong>&nbsp;on the number line. That number is&nbsp;<strong>10<\/strong>.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The problem requires correcting Aisha&#8217;s misunderstanding about her game scores. Her scores for the four turns were -3, 10, -16, and 9. Aisha&#8217;s mistake is a common one involving negative numbers where she confuses the magnitude of a number with its actual value.<\/p>\n\n\n\n<p>Aisha incorrectly concludes that her score on Turn 3 is the highest because she is only looking at the number 16. She is comparing the&nbsp;<strong>absolute values<\/strong>&nbsp;of her scores, which are |-3| = 3, |10| = 10, |-16| = 16, and |9| = 9. The absolute value of a number is its distance from zero on a number line, ignoring its sign. While 16 is the largest of these absolute values, it does not represent the highest score.<\/p>\n\n\n\n<p>In the context of the game, a negative score signifies a loss of points. Therefore, a score of -16 represents a loss of 16 points. When comparing this to her other scores, which include a loss of 3 points and gains of 10 and 9 points, the score of -16 is clearly the&nbsp;<strong>greatest loss<\/strong>&nbsp;she experienced.<\/p>\n\n\n\n<p>To find the highest score, we must compare the actual values, not their absolute values. The correct way to visualize this is by placing the scores on a number line. On a number line, values increase from left to right. The score of -16 would be the furthest to the left, making it the lowest score. The score of 10 would be positioned&nbsp;<strong>furthest to the right<\/strong>, making it the highest score. Therefore, Aisha&#8217;s actual highest score was&nbsp;<strong>10<\/strong>, which she achieved on Turn 2. Her score of -16 on Turn 3 was, in fact, her lowest score.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner9-314.jpeg\" alt=\"\" class=\"wp-image-273068\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: Correct Answer: Aisha compares the&nbsp;absolute values&nbsp;of her four scores in her statement. A score of -16 represents the&nbsp;greatest loss&nbsp;of points for these four turns. The number for Aisha&#8217;s highest score will be&nbsp;furthest to the right&nbsp;on the number line. That number is&nbsp;10. Explanation: The problem requires correcting Aisha&#8217;s misunderstanding about [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-273063","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273063","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=273063"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273063\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=273063"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=273063"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=273063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}