{"id":94,"date":"2022-04-12T09:32:17","date_gmt":"2022-04-12T09:32:17","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=94"},"modified":"2025-09-02T01:23:19","modified_gmt":"2025-09-02T01:23:19","slug":"e-10-maps-with-decimal-distances","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/e-10-maps-with-decimal-distances\/","title":{"rendered":"E.10 Maps with decimal distances"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-background-background-color has-text-color has-background\" style=\"color:#00056d;text-transform:uppercase\"><strong>Maps with decimal distances<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwfn5HutA\/HytIwWbwiKNPWyrrxHHCRQ\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwfn5HutA&#x2F;HytIwWbwiKNPWyrrxHHCRQ&#x2F;watch?utm_content=DAGwfn5HutA&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">E.10 Maps With Decimal Distances<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-0b7c76880a66787baa56e2714ae28a2d\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes :<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Maps and Distances<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>map<\/strong> is a drawing that shows places and their positions.<\/li>\n\n\n\n<li>On a map, distances are shown using a <strong>scale<\/strong> (e.g., 1 cm on map = 2 km in real life).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Decimal Distances<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Distances in real life are not always whole numbers.<\/li>\n\n\n\n<li>We often use <strong>decimals<\/strong> to show smaller parts of a unit (like 2.5 km, 3.75 km, 12.4 km).<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Using Scale with Decimals<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Multiply the map measurement (in cm) by the scale to find the actual distance.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: If scale = 1 cm = 1.5 km, and map distance = 4.2 cm \u2192<\/li>\n\n\n\n<li>Actual distance = 4.2 \u00d7 1.5 = <strong>6.3 km<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Adding and Subtracting Decimal Distances<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>When finding total distance (like two routes), add decimals.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 2.4 km + 3.65 km = <strong>6.05 km<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Comparing Decimal Distances<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Use place value to compare.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 7.25 km &gt; 7.05 km because 25 hundredths &gt; 5 hundredths.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Word Problems with Decimal Distances<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Real-life problems often involve decimals in travel distances.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: A person walks 3.5 km to school and 2.75 km to the market. Total distance walked = 3.5 + 2.75 = <strong>6.25 km<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udccf Examples<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>On a map, the distance between Town A and Town B is 6.4 cm.<br>Scale: 1 cm = 2.5 km.<br>\u2192 Actual distance = 6.4 \u00d7 2.5 = <strong>16 km<\/strong>.<\/li>\n\n\n\n<li>A road is 5.75 km long, and another road is 3.2 km long.<br>Total = 5.75 + 3.2 = <strong>8.95 km<\/strong>.<\/li>\n\n\n\n<li>A student cycles 4.8 km, then walks 2.65 km.<br>Total distance = 4.8 + 2.65 = <strong>7.45 km<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udcdd Practice Questions<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A map shows 7.2 cm between two villages. Scale = 1 cm = 1.8 km. What is the real distance?<\/li>\n\n\n\n<li>A bus travels 12.5 km in the morning and 8.75 km in the evening. What is the total distance?<\/li>\n\n\n\n<li>Which is farther: 9.05 km or 9.5 km?<\/li>\n\n\n\n<li>The real distance is 24.6 km. On a map, the scale is 1 cm = 3 km. What is the map distance?<\/li>\n\n\n\n<li>A person runs 2.45 km, then walks 1.85 km. What is the total distance?<\/li>\n<\/ol>\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-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c5e8fb\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f<strong> Using the paths shown, the distance from Belmont to Allenville is&nbsp;6.5 kilometers.<br>How far is it from Booneville to Allenville?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-82.png\" alt=\"\" class=\"wp-image-2477\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">To find the total distance, add up the paths:<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1663810646233_334\" class=\"wp-block-table\"><table><tbody><tr><td>Belmont to Booneville<\/td><td>2.5 km<\/td><\/tr><tr><td>Booneville to Allenville<\/td><td><strong>?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-left has-normal-font-size\">You already know the total distance is 6.5 kilometers, so solve for the missing<br>distance:<br>2.5 + ? = 6.5<br>? = 6.5 \u2212 2.5<br>? = 4<br>So, the distance from Booneville to Allenville is 4 kilometers.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#fcc8c8\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Using the paths shown, the distance from Hillsboro to Georgetown is&nbsp;4.3 kilometers.<br>How far is it from Hillsboro to Milford?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/09\/Untitled-design-83.png\" alt=\"\" class=\"wp-image-2481\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<p>To find the total distance, add up the paths:<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1663811040977_314\" class=\"wp-block-table\"><table><tbody><tr><td>Hillsboro to Milford<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td><strong>?<\/strong><\/td><\/tr><tr><td>Milford to Georgetown<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>2.3 km<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>You already know the total distance is 4.3 kilometers, so solve for the missing<br>distance:<br>? + 2.3 = 4.3<br>? = 4.3 \u2212 2.3<br>? = 2<br>So, the distance from Hillsboro to Milford is 2 kilometers.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#b6b9f6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#b00012\">\ud83d\udd25<strong>Using the paths shown, how far is it from Oxford to Dayton?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-4.png\" alt=\"\" class=\"wp-image-8637\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-4.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Untitled-design-4-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>______ km<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">To find the total distance, add up the paths:<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Oxford to Hampton 7 km<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Hampton to Dayton 11.3 km<\/p>\n\n\n\n<p class=\"has-normal-font-size\">7 + 11.3 = 18.3<br><\/p>\n\n\n\n<p class=\"has-small-font-size\">So, the total distance from Oxford to Dayton is 18.3 kilometres.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/strong><\/p>\n<\/div><\/div>\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\/80573\/867\/578\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250.png\" alt=\"\" class=\"wp-image-7339\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-250-400x400.png 400w\" 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\/84786\/972\/903\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253.png\" alt=\"\" class=\"wp-image-7340\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-253-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Maps with decimal distances E.10 Maps With Decimal Distances by Delta publications key notes : Maps and Distances Decimal Distances Using Scale with Decimals Multiply the map measurement (in cm) by the scale to find the actual distance. Adding and Subtracting Decimal Distances When finding total distance (like two routes), add decimals. Comparing Decimal Distances<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/e-10-maps-with-decimal-distances\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.10 Maps with decimal distances&#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,"footnotes":""},"class_list":["post-94","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=94"}],"version-history":[{"count":24,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94\/revisions"}],"predecessor-version":[{"id":16893,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/94\/revisions\/16893"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=94"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}