{"id":401,"date":"2022-04-13T10:53:39","date_gmt":"2022-04-13T10:53:39","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=401"},"modified":"2025-02-22T05:01:15","modified_gmt":"2025-02-22T05:01:15","slug":"u-3-greatest-possible-error","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/u-3-greatest-possible-error\/","title":{"rendered":"U.3 Greatest possible error"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Greatest possible error<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-203290aba75681a4fb07a0852f132b50\" style=\"color:#74008b;text-transform:capitalize\">key notes :<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-9c61816b3a7d3a11bd832f391bfb8182\" style=\"color:#000060\"><strong>Definition<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>The <strong>Greatest Possible Error (GPE)<\/strong> is the maximum amount by which a measured value could differ from the true value due to limitations of the measuring instrument.<\/li>\n\n\n\n<li>It represents the uncertainty of a measurement.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-4c875e43885749b27a06771a5ff59d01\" style=\"color:#000060\"><strong>How to Calculate GPE<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>The GPE is <strong>half of the smallest measurement unit<\/strong> of the instrument used.<\/li>\n\n\n\n<li><strong>Formula:<\/strong> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>Greatest\u00a0Possible\u00a0Error = Smallest\u00a0Division\u00a0of\u00a0the\u00a0Instrument \/ 2<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Example: If a ruler measures in millimeters (mm), the GPE is 1\/2 mm = 0.5 mm.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-36bedaec0c8de8b4dda855e9cbefbc29\" style=\"color:#000060\"><strong>Why GPE Matters<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Helps understand the <strong>accuracy<\/strong> and <strong>precision<\/strong> of measurements.<\/li>\n\n\n\n<li>Essential in fields like science, engineering, and construction, where exact measurements are crucial.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-06132ed70b25ee5023474d40ece5b8fc\" style=\"color:#000060\"><strong>Absolute Error vs. Relative Error<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Absolute Error:<\/strong> The GPE expressed in measurement units (e.g., \u00b10.5 cm).<\/li>\n\n\n\n<li><strong>Relative Error:<\/strong> The GPE divided by the measured value, often expressed as a percentage.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-76f45242e8bf94cf518c1566b523a851\" style=\"color:#000060\"><strong>Example Problem<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">If you measure a table&#8217;s length as 100 cm using a ruler with 1 cm divisions:<\/p>\n\n\n\n<p class=\"has-large-font-size\">GPE = 1\u2009cm \/ 2 = 0.5\u2009cm<\/p>\n\n\n\n<p class=\"has-large-font-size\">The actual length could be between <strong>99.5 cm<\/strong> and <strong>100.5 cm<\/strong>.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-8b83fe3a6ff151d175bdeddd843685e1\" style=\"color:#000060\"><strong>Importance in Real-Life Scenarios<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>In construction, small errors can lead to significant structural problems.<\/li>\n\n\n\n<li>In scientific experiments, GPE helps determine the <strong>confidence level<\/strong> of results.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-57722a9c558db198bdc8898f910f97ff\" style=\"color:#000060\"><strong>Key Terms to Remember<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Precision:<\/strong> How detailed a measurement is.<\/li>\n\n\n\n<li><strong>Accuracy:<\/strong> How close a measurement is to the true value.<\/li>\n\n\n\n<li><strong>Uncertainty:<\/strong> The range in which the true value is expected to lie.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#ffc7f9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-24d0a3949170445ed05ff014b89d880c\" style=\"color:#b00012\"><strong>\ud83d\udd2e What is the greatest possible error for a measurement of 8 tonnes?<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-711a60a0c2bd33be565141a6a0a96fef\" style=\"color:#b00012\">____tonnes<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The measurement of 8 metric tons was made to the nearest whole metric ton.<\/li>\n\n\n\n<li>The greatest possible error is half of 1 metric ton, which is 0.5 metric tons.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3cdcd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-458c141a91225e1ff813ec1cf9f59829\" style=\"color:#b00012\"><strong> \ud83d\udd2e What is the greatest possible error for a measurement of 5 centimetres?<\/strong>______centimetres<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The measurement of 5 centimetres was made to the nearest whole centimetre.<\/li>\n\n\n\n<li>The greatest possible error is half of 1 centimetre, which is 0.5 centimetres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c0f7c8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-0196eda88120b0444ce8c548cb1a1b1c\" style=\"color:#b00012\"> <strong>\ud83d\udd2eWhat is the greatest possible error for a measurement of 8 centimetres? <\/strong>______centimetres<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The measurement of 8 centimetres was made to the nearest whole centimetre.<\/li>\n\n\n\n<li>The greatest possible error is half of 1 centimetre, which is 0.5 centimetres.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/86022\/232\/240\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143.png\" alt=\"\" class=\"wp-image-7427\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/86154\/524\/435\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-162.png\" alt=\"\" class=\"wp-image-7428\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-162.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-162-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-162-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Greatest possible error key notes : Definition How to Calculate GPE Greatest\u00a0Possible\u00a0Error = Smallest\u00a0Division\u00a0of\u00a0the\u00a0Instrument \/ 2 Why GPE Matters Absolute Error vs. Relative Error Example Problem If you measure a table&#8217;s length as 100 cm using a ruler with 1 cm divisions: GPE = 1\u2009cm \/ 2 = 0.5\u2009cm The actual length could be between<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/u-3-greatest-possible-error\/\">Continue reading <span class=\"screen-reader-text\">&#8220;U.3 Greatest possible error&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-401","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=401"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401\/revisions"}],"predecessor-version":[{"id":17538,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/401\/revisions\/17538"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}