{"id":5339,"date":"2025-12-15T13:07:57","date_gmt":"2025-12-15T19:07:57","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=5339"},"modified":"2025-12-15T13:07:57","modified_gmt":"2025-12-15T19:07:57","slug":"scientific-notation","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/science-resources\/scientific-notation\/","title":{"rendered":"Scientific Notation"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/12\/scientific-notation-example.png\"><img loading=\"lazy\" decoding=\"async\" width=\"479\" height=\"127\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/12\/scientific-notation-example.png\" alt=\"An example of scientific notation: c x 10 to the nth\" class=\"wp-image-5340\" srcset=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/12\/scientific-notation-example.png 479w, https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/12\/scientific-notation-example-300x80.png 300w\" sizes=\"auto, (max-width: 479px) 100vw, 479px\" \/><\/a><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Count how many places you move left\/right to make the decimal one step to the right of <em style=\"color:blue;\">c<\/em>. The number of places is <em style=\"color:red;\">n<\/em>.<\/li>\n\n\n\n<li>If you move to the left, <em><em style=\"color:red;\">n<\/em><\/em> is positive.<\/li>\n\n\n\n<li>If you move to the right, <em><em style=\"color:red;\">n<\/em><\/em> is negative.<\/li>\n<\/ol>\n\n\n\n<p>2,345,643 = <span style=\"color:blue;\">2.35<\/span> x <span style=\"color:green;\">10<\/span><sup style=\"color:red;\">6<\/sup><\/p>\n\n\n\n<p>Move to the left six steps; rounded two decimal places<\/p>\n\n\n\n<p>0.00008765 = <span style=\"color:blue;\">8.77<\/span> x <span style=\"color:green;\">10<\/span><sup style=\"color:red;\">-5<\/sup><\/p>\n\n\n\n<p>Move to the right five steps; rounded two decimal places<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Addition and Subtraction<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Convert all numbers to the same power of 10.<\/li>\n\n\n\n<li>If you go to a larger power of ten, move the decimal to the left.<\/li>\n\n\n\n<li>If you go to a smaller power of ten, move the decimal to the right.<\/li>\n\n\n\n<li>Add\/subtract.<\/li>\n<\/ol>\n\n\n\n<p>2.35 x 10<sup style=\"color:red;\">6<\/sup> + 8.77 x 10<sup style=\"color:red;\">5<\/sup>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style=\"color:blue;\">2.35<\/span> x 10 <sup>6<\/sup> + <span style=\"color:blue;\">0.877<\/span> x 10<sup>6<\/sup> = <span style=\"color:blue;\">3.227<\/span> x 10<sup>6<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\">Multiplication and Division<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply\/Divide the digits normally.<\/li>\n\n\n\n<li>If multiplying, add the exponents of 10.<\/li>\n\n\n\n<li>If dividing, subtract the exponents of 10.<\/li>\n<\/ol>\n\n\n\n<p>2.35 x 10<sup>6<\/sup> * 8.77 x 10<sup>5<\/sup> = 20.6095 x 10<sup>11<\/sup> = 2.06095 x 10<sup style=\"color:red;\">12<\/sup><\/p>\n\n\n\n<p>2.35 x 10<sup>6<\/sup> \u00f7 8.77 x 10<sup>3<\/sup> = 0.267959 x 10<sup>3<\/sup> = 2.67959 x 10<sup style=\"color:red;\">2<\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2,345,643 = 2.35 x 106 Move to the left six steps; rounded two decimal places 0.00008765 = 8.77 x 10-5 Move to the right five steps; rounded two decimal places Addition and Subtraction 2.35 x 106 + 8.77 x 105&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2.35 x 10 6 + 0.877 x 106 = 3.227 x 106 Multiplication and Division [&hellip;]<\/p>\n","protected":false},"author":98,"featured_media":0,"parent":3891,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"yst_prominent_words":[],"class_list":["post-5339","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/5339","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/98"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=5339"}],"version-history":[{"count":1,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/5339\/revisions"}],"predecessor-version":[{"id":5341,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/5339\/revisions\/5341"}],"up":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/3891"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=5339"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=5339"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}