{"id":46897,"date":"2024-01-30T16:12:41","date_gmt":"2024-01-30T16:12:41","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=46897"},"modified":"2024-01-30T16:18:36","modified_gmt":"2024-01-30T16:18:36","slug":"exponential-expressions-coefficients-negative-signs","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/exponential-expressions-coefficients-negative-signs\/","title":{"rendered":"Exponential expressions: coefficients: negative signs"},"content":{"rendered":"\n<h2>Tutoring math, details can be important. The tutor mentions negative signs in front of exponential expressions.<\/h2>\n<p>\nFor situations where superscripts aren&#8217;t available, exponents are sometimes indicated with a ^ sign. Therefore, 3^4 = 3*3*3*3 = 81.\n<\/p>\n<p>\nToday&#8217;s post isn&#8217;t about that specifically, but it&#8217;s a notation one might see.<\/p>\n<p>Today&#8217;s post, rather, is about the idea that -3^2 = -9, but (-3)^2 = 9.<\/p>\n<p>The reason is the order of operations (BEDMAS): in the expression -3<sup>2<\/sup>, the exponent is evaluated first, while the subtraction is done afterwards. Since there are no brackets, the exponent is only on the 3, not the -. The expression can be imagined as (-1)x3<sup>2<\/sup>.<\/p>\n<p>\nWith (-3)<sup>2<\/sup>, the exponent is on both the negative and the 3, so we have (-3)(-3) = 9.<\/p>\n<p>\nIn my experience, some calculators auto-bracket, so when one tries to enter, for instance, -5<sup>2<\/sup>, the calculator automatically changes it to (-5)<sup>2<\/sup>, then gives the answer 25. It&#8217;s good to watch the calculator&#8217;s screen and be aware of what it&#8217;s doing.<\/p>\nJack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":"<p>Tutoring math, details can be important. The tutor mentions negative signs in front of exponential expressions. For situations where superscripts aren&#8217;t available, exponents are sometimes indicated with a ^ sign. Therefore, 3^4 = 3*3*3*3 = 81. Today&#8217;s post isn&#8217;t about &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/exponential-expressions-coefficients-negative-signs\/\"> <span class=\"screen-reader-text\">Exponential expressions: coefficients: negative signs<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-46897","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/46897","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=46897"}],"version-history":[{"count":10,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/46897\/revisions"}],"predecessor-version":[{"id":46908,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/46897\/revisions\/46908"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=46897"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=46897"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=46897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}