{"id":12218,"date":"2015-09-08T21:49:45","date_gmt":"2015-09-08T21:49:45","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=12218"},"modified":"2018-02-13T18:46:28","modified_gmt":"2018-02-13T18:46:28","slug":"math-approximating-a-square-root-no-calculator","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-approximating-a-square-root-no-calculator\/","title":{"rendered":"Math: approximating a square root (no calculator)"},"content":{"rendered":"

The tutor returns to a “favourite” topic of high school math.<\/h1>\n

High school math students may soon be posed a question similar to the following:<\/p>\n

Estimate to one decimal place, without a calculator, the square root of 55.<\/b><\/p>\n

Note that square root can also be expressed as “to the half power”.<\/p>\n

Solution:<\/p>\n

49^0.5=7 and 64^0.5=8, so we know that 55^0.5 lies between 7 and 8. However, what is the decimal? We find it as follows:<\/p>\n

64-49=15, while 55-49=6. Therefore, 55 is 6\/15=0.4 of the way from 49 to 64. We then accept the decimal part to be 0.4, so our estimate of 55^0.5 is 7.4, to one decimal place.<\/p>\n

Checking on the calculator, 55^0.5=7.416198487: rounded properly to one decimal place, this agrees with our estimate:)<\/p>\n

I’ll be commenting more on math estimation techniques as we get back into regular season.<\/p>\n

Jack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"

The tutor returns to a “favourite” topic of high school math. High school math students may soon be posed a question similar to the following: Estimate to one decimal place, without a calculator, the square root of 55. Note that …<\/p>\n

Math: approximating a square root (no calculator)<\/span> Read More »<\/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":[1034,116,1033],"class_list":["post-12218","post","type-post","status-publish","format-standard","hentry","category-math","tag-estimating-a-square-root-without-a-calculator","tag-radicals","tag-square-roots"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12218","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=12218"}],"version-history":[{"count":17,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12218\/revisions"}],"predecessor-version":[{"id":29633,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12218\/revisions\/29633"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=12218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=12218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=12218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}