{"id":36652,"date":"2025-06-25T08:31:50","date_gmt":"2025-06-25T08:31:50","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=36652"},"modified":"2025-06-25T08:31:53","modified_gmt":"2025-06-25T08:31:53","slug":"express-the-following-in-the-scientific-notation","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/express-the-following-in-the-scientific-notation\/","title":{"rendered":"Express the following in the scientific notation"},"content":{"rendered":"\n<p>Express the following in the scientific notation : (a) 0.0048 (b) 234,000 (c) 8008 (d) 500.0 (e) 6.0012<\/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<p><strong>Correct Answers in Scientific Notation:<\/strong><\/p>\n\n\n\n<p>(a) 0.0048 = <strong>4.8 \u00d7 10\u207b\u00b3<\/strong><br>(b) 234,000 = <strong>2.34 \u00d7 10\u2075<\/strong><br>(c) 8008 = <strong>8.008 \u00d7 10\u00b3<\/strong><br>(d) 500.0 = <strong>5.000 \u00d7 10\u00b2<\/strong><br>(e) 6.0012 = <strong>6.0012 \u00d7 10\u2070<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>Scientific notation is a method of expressing numbers that are too large or too small in a compact and manageable form. It is written in the form:<br><strong>a \u00d7 10\u207f<\/strong>,<br>where <strong>a<\/strong> is a number greater than or equal to 1 but less than 10, and <strong>n<\/strong> is an integer.<\/p>\n\n\n\n<p>To convert a number into scientific notation:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the decimal point\u2019s new position<\/strong> so that only one non-zero digit remains to its left.<\/li>\n\n\n\n<li><strong>Count the number of places the decimal moves<\/strong>. This becomes the exponent <strong>n<\/strong> of 10.<\/li>\n\n\n\n<li><strong>If the original number is less than 1<\/strong>, the exponent <strong>n<\/strong> is negative. If the number is greater than or equal to 10, the exponent <strong>n<\/strong> is positive.<\/li>\n<\/ol>\n\n\n\n<p><strong>Example (a):<\/strong><br>0.0048 becomes 4.8 after moving the decimal point 3 places to the right. This gives 4.8 \u00d7 10\u207b\u00b3.<\/p>\n\n\n\n<p><strong>Example (b):<\/strong><br>234,000 becomes 2.34 after moving the decimal point 5 places to the left. So, 2.34 \u00d7 10\u2075.<\/p>\n\n\n\n<p><strong>Example (c):<\/strong><br>8008 becomes 8.008 after moving the decimal point 3 places to the left. Hence, 8.008 \u00d7 10\u00b3.<\/p>\n\n\n\n<p><strong>Example (d):<\/strong><br>500.0 becomes 5.000 after moving the decimal 2 places left. So, 5.000 \u00d7 10\u00b2. The zeroes after the decimal are significant because they indicate measurement precision.<\/p>\n\n\n\n<p><strong>Example (e):<\/strong><br>6.0012 already falls in the correct range for the coefficient. Since no shift of the decimal is needed, the exponent is 0. Therefore, it is 6.0012 \u00d7 10\u2070.<\/p>\n\n\n\n<p>Scientific notation helps simplify calculations, especially in science and engineering, by making it easier to handle extremely large or small values.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Express the following in the scientific notation : (a) 0.0048 (b) 234,000 (c) 8008 (d) 500.0 (e) 6.0012 The correct answer and explanation is: Correct Answers in Scientific Notation: (a) 0.0048 = 4.8 \u00d7 10\u207b\u00b3(b) 234,000 = 2.34 \u00d7 10\u2075(c) 8008 = 8.008 \u00d7 10\u00b3(d) 500.0 = 5.000 \u00d7 10\u00b2(e) 6.0012 = 6.0012 \u00d7 10\u2070 [&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-36652","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36652","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=36652"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36652\/revisions"}],"predecessor-version":[{"id":36657,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/36652\/revisions\/36657"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=36652"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=36652"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=36652"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}