{"id":59674,"date":"2022-02-07T13:47:00","date_gmt":"2022-02-07T17:47:00","guid":{"rendered":"https:\/\/www.shortform.com\/blog\/?p=59674"},"modified":"2022-02-14T13:55:57","modified_gmt":"2022-02-14T17:55:57","slug":"exponential-growth-meaning","status":"publish","type":"post","link":"https:\/\/www.shortform.com\/blog\/exponential-growth-meaning\/","title":{"rendered":"Exponential Growth: Meaning + Examples"},"content":{"rendered":"\n<p>What is exponential growth? What are some real-world examples of exponential growth?<\/p>\n\n\n\n<p>Exponential growth is a complex math concept that many people don&#8217;t instinctively understand. Yet, the idea is pretty simple: Exponential growth simply means that a number doubles at regular intervals. <\/p>\n\n\n\n<p>Let&#8217;s take a closer look at the meaning of exponential growth and a few examples. <\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-exponential-growth\"><strong>Exponential Growth<\/strong><\/h2>\n\n\n\n<p><strong>Most things in nature increase linearly, where a number increases by the same amount at regular intervals.<\/strong> For example, if you add one rock to a pile every day, on the 15th day, you\u2019ll have 15 rocks. This is a basic concept that early humans encountered, so your brain naturally understands this kind of growth.<\/p>\n\n\n\n<p>However, the meaning of exponential growth is that the number <em>doubles <\/em>at regular intervals, Dobelli explains. For example, you add one rock to a pile on day one, two rocks the next day, four rocks the next day, and so on. By day 15, you\u2019ll have 16,384 rocks. This is not a concept that early humans encountered, so your brain struggles to grasp it. However, it\u2019s increasingly common in the modern world and thus crucial to understand: Everything from investments to product sales can grow exponentially.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exponential-growth-in-nature-and-modern-life\"><strong>Exponential Growth in Nature and Modern Life<\/strong><\/h3>\n\n\n\n<p>While Dobelli is correct that exponential growth was rarely observed by early humans and is now much more observable in modern fields such as finance, <a href=\"https:\/\/www.khanacademy.org\/science\/ap-biology\/ecology-ap\/population-ecology-ap\/a\/exponential-logistic-growth\">exponential growth is still possible in the natural world that early humans would have experienced.<\/a> For example, if two dogs have six puppies, and each puppy also has six puppies, the dog population would experience exponential growth. However, natural exponential growth is limited by resources: The dog population can only grow exponentially until it reaches \u201ccarrying capacity,\u201d the maximum number of dogs the environment can support. Thus, while natural exponential growth is possible, it&#8217;s rare.<\/p>\n\n\n\n<p>Furthermore, early humans may not have identified natural exponential growth because it\u2019s only noticeable if you keep track of all members of a species, which wasn\u2019t possible millions of years ago. However, it\u2019s easier with modern technology. Once you\u2019re tracking the species, you can spot exponential growth by finding <a href=\"https:\/\/www.cebm.net\/covid-19\/exponential-growth-what-it-is-why-it-matters-and-how-to-spot-it\/\">the \u201cdoubling time\u201d:<\/a> If the population of a species doubles within a week, for example, see if it doubles again next week. If the population continues to double within the same time (or faster), it\u2019s experiencing exponential growth.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is exponential growth? What are some real-world examples of exponential growth? Exponential growth is a complex math concept that many people don&#8217;t instinctively understand. Yet, the idea is pretty simple: Exponential growth simply means that a number doubles at regular intervals. Let&#8217;s take a closer look at the meaning of exponential growth and a few examples.<\/p>\n","protected":false},"author":7,"featured_media":49179,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[15,9,160],"tags":[576],"class_list":["post-59674","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education","category-psychology","category-science","tag-the-art-of-thinking-clearly","","tg-column-two"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.3 (Yoast SEO v24.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Exponential Growth: Meaning + Examples - Shortform Books<\/title>\n<meta name=\"description\" content=\"Exponential growth is a complex math concept many people struggle to understand. 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