{"id":28892,"date":"2025-06-20T17:08:37","date_gmt":"2025-06-20T17:08:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28892"},"modified":"2025-06-20T17:08:40","modified_gmt":"2025-06-20T17:08:40","slug":"write-the-numbers-in-scientific-notation-673-5-673-5-6-735-x-10a-67-35-incorrect-0-034-0-034-x-10b-incorrect-incorrect","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-numbers-in-scientific-notation-673-5-673-5-6-735-x-10a-67-35-incorrect-0-034-0-034-x-10b-incorrect-incorrect\/","title":{"rendered":"Write the numbers in scientific notation. 673.5 673.5 = 6.735 \u00d7 10a = 67.35 Incorrect 0.034 0.034 = \u00d7 10b = Incorrect Incorrect"},"content":{"rendered":"\n<p>Write the numbers in scientific notation. 673.5 673.5 = 6.735 \u00d7 10<sup>a<\/sup> = 67.35 Incorrect 0.034 0.034 = \u00d7 10<sup>b<\/sup> = Incorrect Incorrect<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"358\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-109.png\" alt=\"\" class=\"wp-image-28894\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-109.png 700w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-109-300x153.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure>\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 Scientific Notation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>673.5<\/strong> = 6.735 \u00d7 10\u00b2<\/li>\n\n\n\n<li><strong>0.034<\/strong> = 3.4 \u00d7 10\u207b\u00b2<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Scientific notation is a method used to express very large or very small numbers in a concise and standardized form. It is written as the product of two parts: a decimal number between 1 and 10, and a power of 10. This format looks like <strong>N \u00d7 10\u207f<\/strong>, where <em>N<\/em> is the significant figure and <em>n<\/em> is the exponent indicating how many places the decimal point has been moved.<\/p>\n\n\n\n<p>For <strong>673.5<\/strong>, the decimal is moved two places to the left to get a number between 1 and 10, resulting in 6.735. Since we reduced the magnitude of the number to make it smaller, we balance that change by multiplying with 10 raised to the positive power of 2. This gives 6.735 \u00d7 10\u00b2.<\/p>\n\n\n\n<p>For <strong>0.034<\/strong>, the decimal point is moved two places to the right to yield 3.4. Because the original number is smaller than 1, the exponent becomes negative to reflect this decrease in value. So, 0.034 becomes 3.4 \u00d7 10\u207b\u00b2.<\/p>\n\n\n\n<p>A common mistake, like in the image you uploaded, is writing 673.5 as 67.35 \u00d7 10\u00b9 or omitting the coefficient for 0.034 entirely. However, scientific notation requires the coefficient to fall strictly within the range of 1 to less than 10. Any violation of that rule leads to incorrect notation.<\/p>\n\n\n\n<p>This form of expression is especially useful in science and engineering, where values often span many orders of magnitude. It provides clarity and makes calculations involving extremely large or small quantities much more manageable.<\/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-banner8-270.jpeg\" alt=\"\" class=\"wp-image-28897\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-270.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-270-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-270-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write the numbers in scientific notation. 673.5 673.5 = 6.735 \u00d7 10a = 67.35 Incorrect 0.034 0.034 = \u00d7 10b = Incorrect Incorrect The Correct Answer and Explanation is: Correct Scientific Notation: Explanation: Scientific notation is a method used to express very large or very small numbers in a concise and standardized form. It is [&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-28892","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28892","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=28892"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28892\/revisions"}],"predecessor-version":[{"id":28898,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28892\/revisions\/28898"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}