{"id":41005,"date":"2025-06-28T03:34:16","date_gmt":"2025-06-28T03:34:16","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=41005"},"modified":"2025-06-28T03:34:17","modified_gmt":"2025-06-28T03:34:17","slug":"a-decimeter-dm-is-one-tenth-of-a-meter","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-decimeter-dm-is-one-tenth-of-a-meter\/","title":{"rendered":"A decimeter (dm) is one-tenth of a meter"},"content":{"rendered":"\n<p>A decimeter (dm) is one-tenth of a meter. The diameter of Earth is 1.3 x 10^4 km. What is the diameter expressed in decimeters? 1.3 \u00c3\u2014 10^7 dm 1.3 \u00c3\u2014 10^11 dm 1.3 \u00c3\u2014 10^8 dm 1.3 \u00c3\u2014 10^5 dm<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer: <strong>1.3 \u00d7 10\u00b9\u00b9 dm<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Explanation:<\/h3>\n\n\n\n<p>We are asked to convert the diameter of Earth from kilometers (km) to decimeters (dm).<\/p>\n\n\n\n<p><strong>Given:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Diameter of Earth = <strong>1.3 \u00d7 10\u2074 km<\/strong><\/li>\n\n\n\n<li><strong>1 kilometer (km) = 1000 meters (m)<\/strong><\/li>\n\n\n\n<li><strong>1 meter (m) = 10 decimeters (dm)<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert kilometers to meters<\/h3>\n\n\n\n<p>Since 1 km = 1000 m: 1.3\u00d7104\u2009km=1.3\u00d7104\u00d7103\u2009m=1.3\u00d7107\u2009m1.3 \\times 10^4 \\, \\text{km} = 1.3 \\times 10^4 \\times 10^3 \\, \\text{m} = 1.3 \\times 10^7 \\, \\text{m}1.3\u00d7104km=1.3\u00d7104\u00d7103m=1.3\u00d7107m<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert meters to decimeters<\/h3>\n\n\n\n<p>Since 1 m = 10 dm: 1.3\u00d7107\u2009m=1.3\u00d7107\u00d710\u2009dm=1.3\u00d7108\u2009dm1.3 \\times 10^7 \\, \\text{m} = 1.3 \\times 10^7 \\times 10 \\, \\text{dm} = 1.3 \\times 10^8 \\, \\text{dm}1.3\u00d7107m=1.3\u00d7107\u00d710dm=1.3\u00d7108dm<\/p>\n\n\n\n<p>So, the correct value of Earth&#8217;s diameter expressed in decimeters is: 1.3\u00d7108\u2009dm\\boxed{1.3 \\times 10^8 \\, \\text{dm}}1.3\u00d7108dm\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>From the available options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1.3 \u00d7 10\u2077 dm<\/strong> \u2014 Incorrect, it misses one power of ten during the conversion from meters to decimeters.<\/li>\n\n\n\n<li><strong>1.3 \u00d7 10\u00b9\u00b9 dm<\/strong> \u2014 Incorrect, it adds extra powers of ten.<\/li>\n\n\n\n<li><strong>1.3 \u00d7 10\u2078 dm<\/strong> \u2014 <strong>Correct<\/strong>, matches the correct conversion.<\/li>\n\n\n\n<li><strong>1.3 \u00d7 10\u2075 dm<\/strong> \u2014 Incorrect, underestimates the size significantly.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>1.3 \u00d7 10\u2078 dm<\/strong> is the correct conversion for Earth&#8217;s diameter from kilometers to decimeters.<\/p>\n\n\n\n<p>This conversion process highlights the importance of carefully tracking unit relationships and properly handling powers of ten. Converting between different metric units relies on knowing their scale factors, such as 1 km being 1000 meters and 1 meter being 10 decimeters. The metric system simplifies these conversions with consistent factors based on powers of ten, making it efficient for large-scale scientific measurements like planetary diameters.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1298.jpeg\" alt=\"\" class=\"wp-image-41006\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1298.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1298-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1298-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A decimeter (dm) is one-tenth of a meter. The diameter of Earth is 1.3 x 10^4 km. What is the diameter expressed in decimeters? 1.3 \u00c3\u2014 10^7 dm 1.3 \u00c3\u2014 10^11 dm 1.3 \u00c3\u2014 10^8 dm 1.3 \u00c3\u2014 10^5 dm The Correct Answer and Explanation is: Correct Answer: 1.3 \u00d7 10\u00b9\u00b9 dm Step-by-Step Explanation: We [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-41005","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41005","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=41005"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41005\/revisions"}],"predecessor-version":[{"id":41007,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41005\/revisions\/41007"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41005"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41005"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41005"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}