{"id":42077,"date":"2025-06-28T12:56:09","date_gmt":"2025-06-28T12:56:09","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42077"},"modified":"2025-06-28T12:56:10","modified_gmt":"2025-06-28T12:56:10","slug":"express-86-500-000-000-in-scientific-notation","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/express-86-500-000-000-in-scientific-notation\/","title":{"rendered":"express 86 500 000 000 in scientific notation"},"content":{"rendered":"\n<p>express 86 500 000 000 in scientific notation<\/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>To express 86,500,000,000 in scientific notation, you need to follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the significant digits<\/h3>\n\n\n\n<p>The number 86,500,000,000 can be written with significant digits as <strong>8.65<\/strong>. These are the first few non-zero digits in the number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Determine the power of 10<\/h3>\n\n\n\n<p>The scientific notation format requires you to express the number as a product of a decimal number and a power of 10. To find the power of 10, count how many places you need to move the decimal point to get from 8.65 to 86,500,000,000.<\/p>\n\n\n\n<p>Starting from 8.65, move the decimal point <strong>10 places to the right<\/strong> to reach the original number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Write in scientific notation<\/h3>\n\n\n\n<p>Since you moved the decimal point 10 places to the right, the exponent of 10 will be 10. Therefore, the scientific notation of 86,500,000,000 is: 8.65\u00d710108.65 \\times 10^{10}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Scientific notation<\/strong> is a way of expressing very large or very small numbers in a more compact and manageable form. It\u2019s typically written as a number between 1 and 10, multiplied by a power of 10.<\/li>\n\n\n\n<li>The <strong>decimal part<\/strong> is the part between 1 and 10 (in this case, 8.65).<\/li>\n\n\n\n<li>The <strong>exponent<\/strong> of 10 (in this case, 10) tells you how many places to move the decimal point to get back to the original number.<\/li>\n\n\n\n<li>In the case of 86,500,000,000, the exponent is positive because the number is large. If the number was smaller than 1 (like 0.000000865), the exponent would be negative.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the number 86,500,000,000 is <strong>8.65 \u00d7 10^10<\/strong> in scientific notation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>express 86 500 000 000 in scientific notation The correct answer and explanation is: To express 86,500,000,000 in scientific notation, you need to follow these steps: Step 1: Identify the significant digits The number 86,500,000,000 can be written with significant digits as 8.65. These are the first few non-zero digits in the number. Step 2: [&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-42077","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42077","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=42077"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42077\/revisions"}],"predecessor-version":[{"id":42081,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42077\/revisions\/42081"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}