{"id":242058,"date":"2025-07-04T05:25:18","date_gmt":"2025-07-04T05:25:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242058"},"modified":"2025-07-04T05:25:20","modified_gmt":"2025-07-04T05:25:20","slug":"the-mass-of-a-grain-of-sand-is-approximately-2-8-x-10%e2%81%bb%c2%b9%c2%b9grams","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/the-mass-of-a-grain-of-sand-is-approximately-2-8-x-10%e2%81%bb%c2%b9%c2%b9grams\/","title":{"rendered":"The mass of a grain of sand is approximately 2.8 x 10\u207b\u00b9\u00b9grams"},"content":{"rendered":"\n<p>The mass of a grain of sand is approximately 2.8 x 10\u207b\u00b9\u00b9 <br>grams. The mass of a grain of sand is approximately<br>Choose\u2026 Choose\u2026 milligram gram kilogram<\/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\/image-92.png\" alt=\"\" class=\"wp-image-242059\"\/><\/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>The correct answer is&nbsp;<strong>milligram<\/strong>.<\/p>\n\n\n\n<p>The problem requires us to find the correct unit of mass that equates two statements about the mass of a grain of sand. This is a unit conversion problem that involves working with scientific notation and the metric system.<\/p>\n\n\n\n<p>The first statement gives us the reference value:<br>The mass of a grain of sand is approximately 2.8 x 10\u207b\u00b9\u00b9 grams.<\/p>\n\n\n\n<p>The second statement presents the same mass but with a different numerical value, and we must find the corresponding unit:<br>The mass of a grain of sand is approximately 2.8 x 10\u207b\u2078 [unit].<\/p>\n\n\n\n<p>To solve this, we can convert the initial value from grams into each of the potential units (milligram, gram, kilogram) to see which conversion yields the numerical value 2.8 x 10\u207b\u2078.<\/p>\n\n\n\n<p>First, let&#8217;s establish the relationships between the metric units of mass:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 gram (g) = 1,000 milligrams (mg)<\/li>\n\n\n\n<li>1 kilogram (kg) = 1,000 grams (g)<\/li>\n<\/ul>\n\n\n\n<p>This also means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert grams to milligrams, you multiply by 1,000 (or 10\u00b3).<\/li>\n\n\n\n<li>To convert grams to kilograms, you divide by 1,000 (or multiply by 10\u207b\u00b3).<\/li>\n<\/ul>\n\n\n\n<p>Let&#8217;s perform the conversion from grams to milligrams:<br>Mass in milligrams = (Mass in grams) \u00d7 1,000<br>Mass in milligrams = (2.8 \u00d7 10\u207b\u00b9\u00b9) \u00d7 10\u00b3<\/p>\n\n\n\n<p>When multiplying numbers in scientific notation with the same base (in this case, 10), we add their exponents.<br>Exponent calculation: (-11) + 3 = -8.<br>So, the mass is 2.8 \u00d7 10\u207b\u2078 milligrams.<\/p>\n\n\n\n<p>This result, 2.8 \u00d7 10\u207b\u2078, exactly matches the number in the second statement. This confirms that the correct unit is the milligram.<\/p>\n\n\n\n<p>For the sake of thoroughness, if the unit were kilograms, the calculation would be:<br>Mass in kilograms = (Mass in grams) \u00f7 1,000<br>Mass in kilograms = (2.8 \u00d7 10\u207b\u00b9\u00b9) \u00d7 10\u207b\u00b3<br>Exponent calculation: (-11) + (-3) = -14.<br>The result would be 2.8 \u00d7 10\u207b\u00b9\u2074 kilograms, which does not match. Therefore, milligram is the only correct choice.<\/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-banner8-117.jpeg\" alt=\"\" class=\"wp-image-242060\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The mass of a grain of sand is approximately 2.8 x 10\u207b\u00b9\u00b9 grams. The mass of a grain of sand is approximatelyChoose\u2026 Choose\u2026 milligram gram kilogram The Correct Answer and Explanation is: The correct answer is&nbsp;milligram. The problem requires us to find the correct unit of mass that equates two statements about the mass of [&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-242058","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242058","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=242058"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242058\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242058"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242058"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242058"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}